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Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty 被引量:8
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作者 Wo Songlin Shi Guodong Zou Yun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期111-119,共9页
The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadra... The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach. 展开更多
关键词 Uncertain singular large-scale systems time-delay system Guaranteed cost control LMI
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Optimal tracking control for linear time-delay large-scale systems with persistent disturbances 被引量:1
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作者 Tang Ruichun Ma Huamin +1 位作者 Guo Shuangle Ren Lijie 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期1058-1064,共7页
An optimal tracking control (OTC) problem for linear time-delay large-scale systems affected by external persistent disturbances is investigated. Based on the internal model principle, a disturbance compensator is c... An optimal tracking control (OTC) problem for linear time-delay large-scale systems affected by external persistent disturbances is investigated. Based on the internal model principle, a disturbance compensator is constructed. The system with persistent disturbances is transformed into an augmented system without persistent disturbances. The original OTC problem of linear time-delay system is transformed into a sequence of linear two- point boundary value (TPBV) problems by introducing a sensitivity parameter and expanding Maclaurin series around it. By solving an OTC law of the augmented system, the OTC law of the original system is obtained. A numerical simulation is provided to illustrate the effectiveness of the proposed method. 展开更多
关键词 optimal tracking control sensitivity approach time-delay large-scale system persistent disturbance
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Non-fragile guaranteed cost control for uncertain neutral large-scale interconnected systems 被引量:1
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作者 Dan Zhao Qingling Zhang +1 位作者 Heli Hu Chunyuan Zhao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期635-642,共8页
This paper focuses on the problem of non-fragile decentralized guaranteed cost control for uncertain neutral large-scale interconnected systems with time-varying delays in state,control input and interconnections.A no... This paper focuses on the problem of non-fragile decentralized guaranteed cost control for uncertain neutral large-scale interconnected systems with time-varying delays in state,control input and interconnections.A novel scheme,viewing the interconnections with time-varying delays as effective information but not disturbances,is developed.Based on Lyapunov stability theory,using various techniques of decomposing and magnifying matrices,a design method of the non-fragile decentralized guaranteed cost controller for unperturbed neutral large-scale interconnected systems is proposed and the guaranteed cost is presented.The further results are derived for the uncertain case from the criterion of unperturbed neutral large-scale interconnected systems.Finally,an illustrative example shows that the results are significantly better than the existing results in the literatures. 展开更多
关键词 neutral large-scale interconnected systems nonfragile decentralized guaranteed cost control time-varying delay linear matrix inequality(LMI).
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Partial stability of a class of large-scale systems with partiallystable isolated subsystems
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作者 JianJigui LuoHaigeng LiaoXiaoxin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第2期346-350,共5页
The problem of partial stability is investigated for a class of continuous-time large-scale systems. Under assumption that the null solution of the isolated subsystems is stable, based on decomposition-aggregation met... The problem of partial stability is investigated for a class of continuous-time large-scale systems. Under assumption that the null solution of the isolated subsystems is stable, based on decomposition-aggregation methods and Lyapunov second method, some theorems concerning the globally partial asymptotic stability and globally partial exponential stability are obtained via utilizing the inequality analysis technique and comparison technique. Finally, an example is presented to illustrate the results. 展开更多
关键词 large-scale systems partial stability INEQUALITY comparison principle Lyapunov function.
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Observer-based robust predictive control of singular systems with time-delay and parameter uncertainties 被引量:4
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作者 Liu Xiaohua Yang Yuanhua 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第3期590-597,共8页
The problem of observer-based robust predictive control is studied for the singular systems with norm-bounded uncertainties and time-delay, and the design method of robust predictive observer-based controller is propo... The problem of observer-based robust predictive control is studied for the singular systems with norm-bounded uncertainties and time-delay, and the design method of robust predictive observer-based controller is proposed. By constructing the Lyapunov function with the error terms, the infinite time domain "min-max" optimization problems are converted into convex optimization problems solving by the linear matrix inequality (LMI), and the sufficient conditions for the existence of this control are derived. It is proved that the robust stability of the closed-loop singular systems can be guaranteed by the initial feasible solutions of the optimization problems, and the regular and the impulse-free of the singular systems are also guaranteed. A simulation example illustrates the efficiency of this method. 展开更多
关键词 predictive control singular systems linear matrix inequality state observer time-delay UNCERTAINTY
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New delay-dependent robust stability and stabilization for uncertain T-S fuzzy time-delay systems under imperfect premise matching 被引量:4
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作者 张泽健 黄显林 +1 位作者 班晓军 高晓智 《Journal of Central South University》 SCIE EI CAS 2012年第12期3415-3423,共9页
To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function ... To alleviate the conservativeness of the stability criterion for Takagi-Sugeno (T-S) fuzzy time-delay systems, a new delay-dependent stability criterion was proposed by introducing a new augmented Lyapunov function with an additional triple-integral term, which was firstly u3ed to derive the stability criterion for T-S fuzzy time-delay systems. By the same approach, the robust stability issue for fuzzy time-delay systems with uncertain parameters was also considered. On the other hand, in order to enhance the design flexibility, a new design approach for uncertain fuzzy time-delay systems under imperfect premise matching was also proposed, which allows the fuzzy controller to employ different membership functions from the fuzzy time-delay model. By the numerical examples, the proposed stability conditions are less conservative in the sense of getting larger allowable time-delay and obtaining smaller feedback control gains. For instance, when the allowable time-delay increases from 7.3 s to 12 s for an uncertain T-S fuzzy control system with time-delay, the norm of the feedback gains decreases from (34.299 2, 38.560 3) to (10.073 3, 11.349 0), respectively. Meanwhile, the effectiveness of the proposed design method was illustrated by the last example with the robustly stable curves of system state under the initial condition of x(0) = [3 -1]. 展开更多
关键词 T-S fuzzy systems time-delay systems imperfect premise matching stability robust stability linear matrix inequality(LMI) STABILIZATION
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2-D algebraic test for robust stability of time-delay systems with interval parameters 被引量:4
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作者 Xiao Yang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期802-810,共9页
The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomi... The robust stability test of time-delay systems with interval parameters can be concluded into the robust stability of the interval quasipolynomials. It has been revealed that the robust stability of the quasipolynomials depends on that of their edge polynomials. This paper transforms the interval quasipolynomials into two-dimensional (2-D) interval polynomials (2-D s-z hybrid polynomials), proves that the robust stability of interval 2-D polynomials are sufficient for the stability of given quasipolynomials. Thus, the stability test of interval quasipolynomials can be completed in 2-D s-z domain instead of classical 1-D s domain. The 2-D s-z hybrid polynomials should have different forms under the time delay properties of given quasipolynomials. The stability test proposed by the paper constructs an edge test set from Kharitonov vertex polynomials to reduce the number of testing edge polynomials. The 2-D algebraic tests are provided for the stability test of vertex 2-D polynomials and edge 2-D polynomials family. To verify the results of the paper to be correct and valid, the simulations based on proposed results and comparison with other presented results are given. 展开更多
关键词 automatic control theory time-delay systems robust stability 2-D algebraic test.
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Design of unknown input observer with H_∞ performance for linear time-delay systems 被引量:3
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作者 Fu Yanming Wu Di Zhang Peng Duan Guangren 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期606-610,共5页
A unknown input observer (UIO) design for a class of linear time-delay systems when the observer error can't completely decouple from unknown input is dealt with. A sufficient condition to its existence is presente... A unknown input observer (UIO) design for a class of linear time-delay systems when the observer error can't completely decouple from unknown input is dealt with. A sufficient condition to its existence is presented based on Lyapunov stability method. Design problem of the proposed observer is formulated in term of linear matrix inequalities. Two design problems of the observer with internal delay and without internal delay are formulated. Based on H∞ control theory in time-delay systems, the proposed observer is designed in term of linear matrix inequalities (LMI). A design algorithm is proposed. The effective of the proposed approach is illustrated by a numerical example. 展开更多
关键词 unknown input observer time-delay systems linear matrix inequalities.
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Backstepping tracking control for nonlinear time-delay systems 被引量:2
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作者 Chen Weisheng Li Junmin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期846-852,共7页
Two design approaches of state feedback and output feedback tracking controllers are proposed for a class of strict feedback nonlinear time-delay systems by using backstepping technique. When the states of system cann... Two design approaches of state feedback and output feedback tracking controllers are proposed for a class of strict feedback nonlinear time-delay systems by using backstepping technique. When the states of system cannot be observed, the time-delay state observer is designed to estimate the system states. Domination method is used to deal with nonlinear time-delay function under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition. The global asymptotical tracking of the reference signal is achieved and the bound of all signals of the resultant closed-loop system is also guaranteed. By constructing a Lyapunov-Krasoviskii functional, the stability of the closed-loop system is proved. The feasibility of the proposed approach is illustrated by a simulation example. 展开更多
关键词 nonlinear time-delay systems tracking control Lyapunov-Krasoviskii function backstepping.
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Integral sliding mode control of time-delay systems with mismatching uncertainties 被引量:3
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作者 Fu Zhao Yu Liu Xiuming Yao Baoku Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第2期273-280,共8页
A linear matrix inequality (LMI)-based sliding surface design method for integral sliding mode control of uncertain time- delay systems with mismatching uncertainties is proposed. The uncertain time-delay system und... A linear matrix inequality (LMI)-based sliding surface design method for integral sliding mode control of uncertain time- delay systems with mismatching uncertainties is proposed. The uncertain time-delay system under consideration may have mis- matching norm bounded uncertainties in the state matrix as well as the input matrix, A sufficient condition for the existence of a sliding surface is given to guarantee asymptotic stability of the full order slJdJng mode dynamics. An LMI characterization of the slid- ing surface is given, together with an integral sliding mode control law guaranteeing the existence of a sliding mode from the initial time. Finally, a simulation is given to show the effectiveness of the proposed method. 展开更多
关键词 linear matrix inequality integral sliding mode control uncertain time-delay systems mismatching uncertainties.
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Sufficient conditions for stability of linear time-delay systems with dependent delays 被引量:1
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作者 Ying Zhu Qina Gao Yang Xiao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第5期845-851,共7页
According to the delay property, linear time-delay (LTD) systems can be classified as LTD systems with depen- dent delays (LTD_DD) and LTD systems with independent delays (LTD_ID). This paper reveals that the st... According to the delay property, linear time-delay (LTD) systems can be classified as LTD systems with depen- dent delays (LTD_DD) and LTD systems with independent delays (LTD_ID). This paper reveals that the stability condition for LTD_ID systems can be applied to LTD_DD systems, a sufficient stability condition for LTD_DD systems is derived from it, while only fewer of the LTD_DD systems can satisfy the stability condition due to the very strict limitation for the delays of the LTD_DD systems. To solve the problem, based on two-dimensional (2-D) hybrid polynomials, some sufficient conditions for stability of LTD_DD systems are pro- posed. Examples show that the proposed stability test algorithms are simple and valid. 展开更多
关键词 time-delay systems auasipolvnomials stabilitv test
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Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter 被引量:1
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作者 Chai Lin Cheng Ming +1 位作者 Fei Shumin Zhai Junyong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第1期159-167,共9页
The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our des... The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example. 展开更多
关键词 discrete-time time-delay systems adaptive control linear matrix inequality.
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Robust H_∞ controller design for a class of nonlinear fuzzy time-delay systems 被引量:1
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作者 Wang Miaoxin Liu Jizhen +1 位作者 Liu Xiangjie Liu Juncheng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第6期1286-1289,共4页
The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality(LMI) method, the problem of fuzzy r... The problem of fuzzy modeling for state and input time-delays systems with a class of nonlinear uncertainties by fuzzy T-S model is addressed.By using the linear matrix inequality(LMI) method, the problem of fuzzy robust H ∞ controller design for the system is studied.Assuming that the nonlinear uncertain functions in the model considered are gain-bounded, a sufficient condition for the robustly asymptotic stability of the closed-loop system is obtained via Lyapunov stability theory.By solving the LMI, a feedback control law which guarantees the robustly asymptotic stability of the closed-loop system is constructed and the effect of the disturbance input on the controlled output is ruduced to a prescribed level. 展开更多
关键词 fuzzy control robust H∞ control nonlinear uncertainty fuzzy time-delay systems linear matrixinequality.
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New type of adaptive control for a class of distributed time-delay systems with adaptation regard to delay parameter 被引量:1
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作者 Lin Chai1, 2, Shumin Fei1, 2, Haiyan Jin1, 2, Ruimin Wang1, 2, and Yanhong Li1, 2 1. Key Laboratory of Measurement and Control of Complex Systems of Engineering, Southeast University, Nanjing 210096, P. R. China 2. School of Automation, Southeast University, Nanjing 210096, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第6期1054-1062,共9页
The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is propo... The problem on stabilization for the system with distributed delays is researched. The distributed time-delay under consideration is assumed to be a constant time-delay, but not known exactly. A design method is proposed for a memory proportional and integral (PI) feedback controller with adaptation to distributed time-delay. The feedback controller with memory simultaneously contains the current state and the past distributed information of the addressed systems. The design for adaptation law to distributed delay is very concise. The controller can be derived by solving a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the design method. 展开更多
关键词 distributed delay linear matrix inequality (LMI) adaptive control time-delay systems memory PI feedback.
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Global exponentially stability for time-delay and time-varying measure large scale systems with impulsive effects
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作者 刘云龙 高存臣 +1 位作者 李云艳 刘现明 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2009年第S1期175-180,共6页
The global exponentially stability was studied for time-delay and time-varying measure large scale systems with impulsive effects. Firstly, the concepts are drawn for the functional category. Secondly, some sufficient... The global exponentially stability was studied for time-delay and time-varying measure large scale systems with impulsive effects. Firstly, the concepts are drawn for the functional category. Secondly, some sufficient conditions of the uniformly stability and the global exponentially stability are given for the above systems through defining a Lyapunov function of the weighting sum of the variable absolute by using the Lyapunov function method and the comparison principle. At the same time, the new conclusion of stability of these systems is more universal and contains the existing results. Finally, an example is given to illustrate the feasibility and validity of the obtained results. 展开更多
关键词 distributional DERIVATIVE time-delay MEASURE large scale systems IMPULSIVE GLOBAL EXPONENTIALLY stability
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Delay-dependent state feedback robust stabilization for uncertain singular time-delay systems
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作者 Gao Huanli Xu Bugong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第4期758-765,共8页
The problem of robust stabilization for uncertain singular time-delay systems is studied. First, a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given, which is less conse... The problem of robust stabilization for uncertain singular time-delay systems is studied. First, a new delay-dependent asymptotic stability criteria for normal singular time-delay systems is given, which is less conservative. Using this result, the problem of state feedback robust stabilization for uncertain singular time-delay systems is discussed, Finally, two examples are given to illustrate the effectiveness of the results. 展开更多
关键词 singular systems time-delay DELAY-DEPENDENT robust stabilization linear matrix inequalities(LMIs)
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H_∞ control for stochastic systems with time-delay
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作者 LiuYungang FangRui ZhangYun LiYanfang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第2期356-362,共7页
The H∞-control problem of stochastic systems with time-delay is considered. The sufficient conditions are obtained, under which there are always state-feedback control and dynamic output-feedback control so that the ... The H∞-control problem of stochastic systems with time-delay is considered. The sufficient conditions are obtained, under which there are always state-feedback control and dynamic output-feedback control so that the resulting closed-loop system is internaly stable and L2 input-output stable in the sense of expectation. Furthermore, the explicit formulas of both kinds of controls are derived. An example is included to illustrate the correctness of theoretic results. 展开更多
关键词 stochastic time-delay systems H∞-control differential game linear matrix inequality.
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Fixed-Order l_1-Control for Systems with Time-Delay
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作者 Liu Yungang, Shi Songjiao & Qin Bin (Dept. of Automation, Shanghai Jiaotong University, 200030, P. R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2000年第3期40-52,共13页
In this paper, fixed-order l1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also... In this paper, fixed-order l1-control for systems with time-delay is studied, and sufficient conditions for solvability of state-feedback l1-control and dynamic output-feedback l1-control are obtained. This paper also gives the forms of solution to l1-controller. In the paper, the problem is not cast into infinite dimensional constrained convex optimal problem, but an upper bound of l1-norm is optimized. Although the l1-control is sub-optimal, the analysis and design are simple. The result of the paper improves and develops the l1-control method. 展开更多
关键词 time-delay systems l1-control State feedback Dynamic output-feedback Linear matrix inequality (LMI).
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Simultaneous quadratic performance stabilization for linear time-delay systems
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作者 Chen Yuepeng Zhou Zude +1 位作者 Liu Huanbin Zhang Qingling 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第4期817-823,共7页
A newly designed approach of simultaneous stabilization is given for linear discrete time-delay systems. The problem of stabilization for a collection of systems is discussed initially. Adequate condition are obtained... A newly designed approach of simultaneous stabilization is given for linear discrete time-delay systems. The problem of stabilization for a collection of systems is discussed initially. Adequate condition are obtained in terms of linear matrix inequalities (LMIs) which are independent of time delays such that the resultant collection of discrete time-delay systems are stable with an upper bound of the quadratic performance index. Subsequently, controllers are designed such that the resultant closed-loop discrete time-delay systems are simultaneously stabilized with the upper bound of the quadratic performance index. Finally,a numerical example is given to illustrate the design method. 展开更多
关键词 linear matrix inequalities (LMIs) simultaneous stabilization discrete time-delay systems quadratic performance index.
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Exponential passive filtering for a class of nonlinear jump systems 被引量:3
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作者 He Shuping Liu Fei 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第4期829-837,共9页
The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlineariti... The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlinearities satisfy the quadratic condition. Based on the passive filtering theory, the sufficient condition for the existence of the mode-dependent passive filter is given by analyzing the reconstructed observer system. By using the appropriate Lyapnnov-Krasovskii function and applying linear matrix inequalities, the design scheme of the passive filter is derived and described as an optimization one. The presented exponential passive filter makes the error dynamic systems exponentially stochastically stable for all the admissible uncertainties, time-delays and nonlinearities, has the better abilities of state tracking and satisfies the given passive norm index. Simulation results demonstrate the validity of the proposed approach. 展开更多
关键词 nonlinear Markov jump systems UNCERTAINTIES time-delayS passive filter exponentially stochastically stable linear matrix inequalities.
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