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Novel active fault-tolerant control scheme and its application to a double inverted pendulum system 被引量:3
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作者 Cui Ping Weng Zhengxin Patton Ron 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第1期134-140,共7页
On the basis of the gain-scheduled H∞ design strategy, a novel active fault-tolerant control scheme is proposed. Under the assumption that the effects of faults on the state-space matrices of systems can be of affine... On the basis of the gain-scheduled H∞ design strategy, a novel active fault-tolerant control scheme is proposed. Under the assumption that the effects of faults on the state-space matrices of systems can be of affine parameter dependence, a reconfigurable robust H∞ linear parameter varying controller is developed. The designed controller is a function of the fault effect factors that can be derived online by using a well-trained neural network. To demonstrate the effectiveness of the proposed method, a double inverted pendulum system, with a fault in the motor tachometer loop, is considered. 展开更多
关键词 active fault-tolerant control neural network estimator gain-scheduled controller double inverted pendulum.
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Fault tolerant control based on stochastic distribution via RBF neural networks 被引量:9
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作者 Zakwan Skaf Hong Wang Lei Guo 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期63-69,共7页
A new fault tolerant control(FTC) via a controller reconfiguration approach for general stochastic nonlinear systems is studied.Different from the formulation of classical FTC methods,it is supposed that the measure... A new fault tolerant control(FTC) via a controller reconfiguration approach for general stochastic nonlinear systems is studied.Different from the formulation of classical FTC methods,it is supposed that the measured information for the FTC is the probability density functions(PDFs) of the system output rather than its measured value.A radial basis functions(RBFs) neural network technique is proposed so that the output PDFs can be formulated in terms of the dynamic weighings of the RBFs neural network.As a result,the nonlinear FTC problem subject to dynamic relation between the input and the output PDFs can be transformed into a nonlinear FTC problem subject to dynamic relation between the control input and the weights of the RBFs neural network approximation to the output PDFs.The FTC design consists of two steps.The first step is fault detection and diagnosis(FDD),which can produce an alarm when there is a fault in the system and also locate which component has a fault.The second step is to adapt the controller to the faulty case so that the system is able to achieve its target.A linear matrix inequality(LMI) based feasible FTC method is applied such that the fault can be detected and diagnosed.An illustrated example is included to demonstrate the efficiency of the proposed algorithm,and satisfactory results have been obtained. 展开更多
关键词 probability density function(PDF) nonlinear stochastic system fault tolerant controlftc).
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Robust Adaptive Fault-tolerant Compensation Control with Actuator Failures and Bounded Disturbances 被引量:27
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作者 JIN Xiao-Zheng YANG Guang-Hong 《自动化学报》 EI CSCD 北大核心 2009年第3期305-309,共5页
关键词 自适应 自动化 控制系统 计算机
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Research on robust fault-tolerant control for networked control system with packet dropout 被引量:50
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作者 Huo Zhihong Fang Huajing 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第1期76-82,共7页
A kind of networked control system with network-induced delay and packet dropout, modeled on asynchronous dynamical systems was tested, and the integrity design of the networked control system with sensors failures an... A kind of networked control system with network-induced delay and packet dropout, modeled on asynchronous dynamical systems was tested, and the integrity design of the networked control system with sensors failures and actuators failures was analyzed using hybrid systems technique based on the robust fault-tolerant control theory. The parametric expression of controller is given based on the feasible solution of linear matrix inequality. The simulation results are provided on the basis of detailed theoretical analysis, which further demonstrate the validity of the proposed schema. 展开更多
关键词 Networked control system (NCS) fault-tolerant control ftc Asynchronous dynamical systems (ADS) Integrity design Packet dropout Time delay
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Fault-Tolerant Control Research for Networked Control System under Communication Constraints 被引量:11
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作者 HUO Zhi-Hong FANG Hua-Jing 《自动化学报》 EI CSCD 北大核心 2006年第5期659-666,共8页
Implementing a control system over a communication network induces inevitable time delays that may degrade performance and even cause instability. One of the most effective ways to reduce the negative effect of delays... Implementing a control system over a communication network induces inevitable time delays that may degrade performance and even cause instability. One of the most effective ways to reduce the negative effect of delays on the performance of networked control system (NCS) is to reduce network traffic. In this paper, adjustable deadbands are explored as a solution to reduce network traffic in NCS. A method of fault-tolerant control of networked control system is presented, which takes into account system response as well as network traffic. The integrity design for a kind of NCS with sensor failures and actuator failures is analyzed based on robust fault-tolerant control theory and information scheduling. After detailed theoretical analysis, the paper also provides the simulation results, which further validate the proposed scheme. 展开更多
关键词 Networked control system (NCS) deadbands fault-tolerant control (ftc) integrity design time delay
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Adaptive fault-tolerant controller design for airbreathing hypersonic vehicle with input saturation 被引量:12
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作者 Haibin Sun Shihua Li Changyin Sun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第3期488-499,共12页
The problem of fault-tolerant control is discussed for the longitudinal model of an airbreathing hypersonic vehicle (AHV) with actuator faults and external disturbances. Firstly, a fault-tolerant control strategy is... The problem of fault-tolerant control is discussed for the longitudinal model of an airbreathing hypersonic vehicle (AHV) with actuator faults and external disturbances. Firstly, a fault-tolerant control strategy is presented for the longitudinal model of an AHV, which guarantees that velocity and altitude track their reference trajectories at an exponential convergence rate. However, this method needs to know the minimum value of the actuator efficiency factor and the upper bound of the external disturbances, which makes it not easy to implement. Then an improved adaptive fault-tolerant control scheme is proposed, where two adaptive laws are employed to estimate the upper bound of the external disturbances and the minimum value of the actuator efficiency factor, respectively. Secondly, the problem of designing a control scheme with control constraints is further considered, and a new adaptive fault-tolerant control strategy with input saturation is designed to guarantee that velocity and altitude track their reference trajectories. Finally, simulation results are given to show the effectiveness of the proposed methods. 展开更多
关键词 airbreathing hypersonic vehicle (AHV) fault-tolerant control ftc adaptive control input saturation.
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Event-triggered sampling and fault-tolerant control co-design based on fault diagnosis observer 被引量:1
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作者 QIU Aibing ZHANG Jing +1 位作者 JIANG Bin GU Juping 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第1期176-186,共11页
A co-design scheme of event-triggered sampling mechanism and active fault tolerant control(FTC) is developed. Firstly,a fault diagnosis observer is designed to estimate both the fault and the state simultaneously by u... A co-design scheme of event-triggered sampling mechanism and active fault tolerant control(FTC) is developed. Firstly,a fault diagnosis observer is designed to estimate both the fault and the state simultaneously by using the event-triggered sampled output. Some H∞constraints between the estimation errors and the event-triggered sampling mechanism are established to ensure the estimation accuracy. Then, based on the constraints and the obtained fault information, an event-triggered detector and a static fault tolerant controller are co-designed to guarantee the stability of the faulty system and to reduce the sensor communication cost.Furthermore, the problem of the event detector and dynamic FTC co-design is also investigated. Simulation results of an unstable batch reactor are finally provided to illustrate the effectiveness of the proposed method. 展开更多
关键词 event-triggered sampling fault estimation active fault tolerant control(ftc) CO-DESIGN
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Fault Tolerant Control for Networked Control Systems with Access Constraints 被引量:4
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作者 ZHAO Ming-Yue LIU He-Ping +2 位作者 LI Zhi-Jun SUN De-Hui LIU Ke-Ping 《自动化学报》 EI CSCD 北大核心 2012年第7期1119-1126,共8页
关键词 网络控制系统 容错控制器 访问限制 Lyapunov函数法 执行器故障 采样时间 设计方法 调度方法
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Fault tolerant control for near space vehicle:a survey and some new results 被引量:8
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作者 Yufei Xu Bin Jiang Zhifeng Gao Ke Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期88-94,共7页
A review on fault-tolerant control(FTC) for near space vehicle(NSV) is presented.First,the concept of near space is introduced,the background of NSV is emphasized,and the model characteristics of NSV in faulty cas... A review on fault-tolerant control(FTC) for near space vehicle(NSV) is presented.First,the concept of near space is introduced,the background of NSV is emphasized,and the model characteristics of NSV in faulty case are investigated.Then,a comparison of different existing approaches is briefly carried out,and achievements on the current research in this field are also presented in the view of the practical application.Furthermore,several existing advanced FTC results for nonlinear flight control systems are given.Finally,the recent literature of NSV are presented to provide an overall view of future developments in this area. 展开更多
关键词 near space vehicle(NSV) fault-tolerant controlftc adaptive sliding mode.
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Time-varying fault-tolerant formation tracking based cooperative control and guidance for multiple cruise missile systems under actuator failures and directed topologies 被引量:10
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作者 XU Xingguang WEI Zhenyan +1 位作者 REN Zhang LI Shusheng 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第3期587-600,共14页
This paper studies time-varying fault-tolerant formation tracking problems for the multiple cruise missile system under directed topologies subjected to actuator failures. Firstly, the timevarying fault-tolerant forma... This paper studies time-varying fault-tolerant formation tracking problems for the multiple cruise missile system under directed topologies subjected to actuator failures. Firstly, the timevarying fault-tolerant formation tracking process for the multiple cruise missile system is divided into the guidance loop and the control loop. Then protocols are constructed to accomplish distributed fault-tolerant formation tracking in the guidance loop with the adaptive updating mechanism, in the condition where neither the knowledge about actuator malfunctions nor any global information of the communication topology remains available. Moreover, sufficient conditions to accomplish formation tracking are presented, and it is shown that the multiple cruise missile system can carry on the predefined time-varying fault-tolerant control (FTC) formation tracking through the active disturbances rejection controller (ADRC) and the proportion integration (PI) controller by the way of the fault-tolerant protocol utilizing the designed strategies, in the event of actuator failures. At last, numerical analysis and simulation are designed to verify the theoretical results. 展开更多
关键词 fault-tolerant formation tracking consensus-based CRUISE MISSILE active disturbances REJECTION controller (ADRC)
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Fault-tolerant Control and Disturbance Attenuation of a Class of Nonlinear Systems with Actuator and Component Failures 被引量:3
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作者 FAN Ling-Ling SONG Yong-Duan 《自动化学报》 EI CSCD 北大核心 2011年第5期623-628,共6页
这份报纸象外部骚乱一样与致动器和部件失败调查非线性的动态系统的一个班的稳定问题。没有对在致动器失败变量上固定的估计的经分解的需要,新差错容忍的控制算法被导出,并且因此,结果的控制计划有更简单的结构并且作为与大多数存在... 这份报纸象外部骚乱一样与致动器和部件失败调查非线性的动态系统的一个班的稳定问题。没有对在致动器失败变量上固定的估计的经分解的需要,新差错容忍的控制算法被导出,并且因此,结果的控制计划有更简单的结构并且作为与大多数存在方法相比要求更少的联机计算。与建议控制,致动器和分系统 / 部件失败能被提供,这被显示出,并且州的依赖生长骚乱能有效地被稀释。算法面对外部骚乱,参量的无常,以及严重致动器 / 分系统失败基于一条 Lyapunov 途径和数字模拟经由构词的数学分析被验证。 展开更多
关键词 自动化 ftc FDD LMI
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Impact angle constrained fuzzy adaptive fault tolerant IGC method for Ski-to-Turn missiles with unsteady aerodynamics and multiple disturbances 被引量:1
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作者 GUO Hang WANG Zheng +3 位作者 FU Bin CHEN Kang FU Wenxing YAN Jie 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第5期1210-1226,共17页
An impact angle constrained fuzzy adaptive fault tolerant integrated guidance and control method for Ski-to-Turn(STT)missiles subject to unsteady aerodynamics and multiple disturbances is proposed.Unsteady aerodynamic... An impact angle constrained fuzzy adaptive fault tolerant integrated guidance and control method for Ski-to-Turn(STT)missiles subject to unsteady aerodynamics and multiple disturbances is proposed.Unsteady aerodynamics appears when flight vehicles are in a transonic state or confronted with unstable airflow.Meanwhile,actuator failures and multisource model uncertainties are introduced.However,the boundaries of these multisource uncertainties are assumed unknown.The target is assumed to execute high maneuver movement which is unknown to the missile.Furthermore,impact angle constraint puts forward higher requirements for the interception accuracy of the integrated guidance and control(IGC)method.The impact angle constraint and the precise interception are established as the object of the IGC method.Then,the boundaries of the lumped disturbances are estimated,and several fuzzy logic systems are introduced to compensate the unknown nonlinearities and uncertainties.Next,a series of adaptive laws are developed so that the undesirable effects arising from unsteady aerodynamics,actuator failures and unknown uncertainties could be suppressed.Consequently,an impact angle constrained fuzzy adaptive fault tolerant IGC method with three loops is constructed and a perfect hit-to-kill interception with specified impact angle can be implemented.Eventually,the numerical simulations are conducted to verify the effectiveness and superiority of the proposed method. 展开更多
关键词 integrated guidance and control(IGC) impact angle constraint unsteady aerodynamics fault tolerant control(ftc) actuator failures
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Civil aircraft fault tolerant attitude tracking based on extended state observers and nonlinear dynamic inversion 被引量:1
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作者 MA Xinjian LIU Shiqian CHENG Huihui 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第1期180-187,共8页
For the problem of sensor faults and actuator faults in aircraft attitude control,this paper proposes a fault tolerant control(FTC)scheme based on extended state observer(ESO)and nonlinear dynamic inversion(NDI).First... For the problem of sensor faults and actuator faults in aircraft attitude control,this paper proposes a fault tolerant control(FTC)scheme based on extended state observer(ESO)and nonlinear dynamic inversion(NDI).First,two ESOs are designed to estimate sensor faults and actuator faults respectively.Second,the angular rate signal is reconstructed according to the estimation of sensor faults.Third,in angular rate loop,NDI is designed based on reconstruction of angular rate signals and estimation of actuator faults.The FTC scheme proposed in this paper is testified through numerical simulations.The results show that it is feasible and has good fault tolerant ability. 展开更多
关键词 fault tolerant control(ftc) signal reconstruction extended state observer(ESO) nonlinear dynamic inversion(NDI)
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电动汽车MIMO-MFAC转向系统主动容错控制器设计
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作者 潘明存 王丽娟 +1 位作者 何勋 董峰 《机械设计与制造》 北大核心 2025年第6期172-175,179,共5页
为了进一步提高电动汽车转向系统的容错控制效果,结合多输入多输出(MIMO)技术和无模型自适应控制(MFAC)方法的优点,提出了一种基于MIMO-MFAC模型的电动汽车转向系统主动容错控制器方法。主要利用四个车轮传动马达产生偏航角扭矩的方式... 为了进一步提高电动汽车转向系统的容错控制效果,结合多输入多输出(MIMO)技术和无模型自适应控制(MFAC)方法的优点,提出了一种基于MIMO-MFAC模型的电动汽车转向系统主动容错控制器方法。主要利用四个车轮传动马达产生偏航角扭矩的方式来实现对汽车动力参数的回馈,使汽车能够在设定轨道上对汽车期望速度和预期轨道进行有效追踪,保障安全行车状态。研究结果表明:MIMO-MFAC容错控制完成汽车的安全控制功能,能够保证汽车在无转向条件下实现自动调节,达到行驶安全性和提高汽车容错性能的目的。在系统中加入容错装置后,在汽车侧向位置偏差小于0.121m下,汽车偏航率小于0.001rad/s,保证汽车能够保持10cm的安全范围,当操纵装置发生故障时将汽车控制在安全区间内。 展开更多
关键词 电动汽车 主动容错控制 无模型自适应控制 线控转向系统
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六相永磁同步电机HADR-IDPCC容错控制技术
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作者 高晗璎 王泓帏 陈琦 《电机与控制学报》 北大核心 2025年第1期58-72,共15页
针对双Y相移30°六相永磁同步电机容错运行时传统电流预测控制策略对电机参数敏感、抗干扰能力差的问题,提出一种混合自抗扰改进无差拍容错控制策略,通过引入权重系数对电流反馈值进行优化,使系统趋于稳定时允许电感参数变化的范围... 针对双Y相移30°六相永磁同步电机容错运行时传统电流预测控制策略对电机参数敏感、抗干扰能力差的问题,提出一种混合自抗扰改进无差拍容错控制策略,通过引入权重系数对电流反馈值进行优化,使系统趋于稳定时允许电感参数变化的范围较传统策略扩大了1/β倍,有效降低了电感参数摄动对系统稳定性的影响;同时采用自适应混合开关策略,将线性和非线性扩张状态观测器相结合,构建混合自抗扰容错控制系统,在不影响小观测误差时自抗扰系统性能的前提下,提高了大观测误差时的非线性增益系数,进一步增大了电机稳态运行区间,提高了系统抗干扰能力和响应速度。最后,搭建仿真与实验平台对所提策略的动静态性能、参数鲁棒性和抗干扰能力进行了分析,验证了所提策略的优越性。 展开更多
关键词 永磁同步电机 容错控制 自抗扰控制 扩张状态观测器 无差拍电流控制 权重系数 鲁棒性
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基于非奇异快速终端滑模控制的电动汽车转向失效容错协同控制研究
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作者 刘轩江 林棻 +1 位作者 王天成 马洪旺 《汽车技术》 北大核心 2025年第4期10-19,共10页
针对分布式驱动电动汽车在转向系统失效无法准确跟踪期望轨迹的问题,提出了一种考虑转向失效后车辆稳定性与轨迹跟踪的容错协同控制策略。首先分别基于模型预测控制和滑模控制计算期望前轮转角和附加横摆力矩;其次,针对转向系统失效故障... 针对分布式驱动电动汽车在转向系统失效无法准确跟踪期望轨迹的问题,提出了一种考虑转向失效后车辆稳定性与轨迹跟踪的容错协同控制策略。首先分别基于模型预测控制和滑模控制计算期望前轮转角和附加横摆力矩;其次,针对转向系统失效故障,基于非奇异快速终端滑模控制设计了前轮转角跟踪控制器,求解实现期望转角所需的差动转向力矩;然后,以轮胎负荷率和控制量误差最小化为优化目标,基于二次规划算法实现轮胎力分配。最后,分别在中速高附着系数和高速低附着系数两种工况下进行仿真试验,结果表明,所提出的容错控制策略在转向系统失效后仍能使车辆稳定跟踪期望轨迹,具有良好的控制效果。 展开更多
关键词 协同控制 容错控制 电动汽车 转向失效 非奇异快速终端滑模控制
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永磁同步电动机驱动系统不对中故障的谐振自抗扰控制
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作者 吴朗 李生权 +2 位作者 罗琳 李喆 李娟 《江苏大学学报(自然科学版)》 北大核心 2025年第4期458-464,489,共8页
针对永磁同步电动机(PMSM)系统转子不对中故障引起的转速波动,提出一种具有基于集成正弦扰动模型的谐振扩张状态观测器的谐振自抗扰控制(RADRC)策略.首先,利用转子不对中故障系统数学模型分析电动机受正弦干扰的故障形式,建立故障状态... 针对永磁同步电动机(PMSM)系统转子不对中故障引起的转速波动,提出一种具有基于集成正弦扰动模型的谐振扩张状态观测器的谐振自抗扰控制(RADRC)策略.首先,利用转子不对中故障系统数学模型分析电动机受正弦干扰的故障形式,建立故障状态下的机电耦合模型.其次,将控制系统中速度环采用的比例积分(PI)控制器替换成自抗扰控制器,以提高电动机系统的响应速度与稳态性能.然后,根据电动机所受正弦干扰对谐振扩张状态观测器进行优化设计,并利用前馈补偿减小不对中故障对系统性能的影响.最后,通过搭建永磁同步电动机驱动系统不对中故障的仿真模型与试验平台,开展基于RADRC策略和传统的自抗扰控制(ADRC)策略的调速性能对比验证.结果表明:当电动机转速在不对中故障干扰影响下波动时,利用RADRC策略不仅能够快速微超调跟踪给定转速,而且能够有效抑制转速的波动;当控制电流相同时,该策略更能迅速有效地对转速波动进行良好的抑制,提高了永磁同步电动机系统在不对中故障下的运行性能. 展开更多
关键词 永磁同步电动机 谐振扩张状态观测器 自抗扰控制 容错控制 不对中故障
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具有不确定滑转的轮式移动机器人轨迹跟踪控制方法 被引量:3
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作者 吴昊 梁忠超 +1 位作者 王文成 王永富 《东北大学学报(自然科学版)》 EI CAS CSCD 北大核心 2024年第6期858-865,共8页
轮式移动机器人在松软复杂地形条件下容易发生车轮滑转,影响轨迹跟踪精度.为提高机器人在该情况下的轨迹跟踪准确性,提出了一种基于容错控制的自适应滑转补偿控制器.首先,考虑车轮滑转率建立了四轮移动机器人运动学模型,并构建了相应的... 轮式移动机器人在松软复杂地形条件下容易发生车轮滑转,影响轨迹跟踪精度.为提高机器人在该情况下的轨迹跟踪准确性,提出了一种基于容错控制的自适应滑转补偿控制器.首先,考虑车轮滑转率建立了四轮移动机器人运动学模型,并构建了相应的轨迹跟踪误差模型;然后,根据容错控制方法设计了滑转补偿项,并基于Lyapunov稳定性理论证明了自适应滑转补偿控制器的稳定性,实现了对由车轮滑转引起的速度误差的准确补偿;最后,利用四轮移动机器人进行了两种工况下的实验验证.结果表明,设计的控制器能够使移动机器人在未知的车轮滑转率条件下准确跟踪理想路径,并且相较于常规控制器有更强的鲁棒性和更高的跟踪精度. 展开更多
关键词 轮式移动机器人 松软地形 车轮滑转 轨迹跟踪 容错控制
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工业机器人变导纳自适应主动容错控制方法研究 被引量:2
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作者 王君 马迪 《航空制造技术》 CSCD 北大核心 2024年第18期20-27,共8页
针对受外界干扰、执行器故障及环境交互影响的工业机器人系统,提出一种位置控制为自抗扰的工业机器人变导纳自适应主动容错控制方法。首先,设计自抗扰控制器,在实现位置跟踪的同时消除外部干扰对执行器的影响。其次,为获得实际作业中除... 针对受外界干扰、执行器故障及环境交互影响的工业机器人系统,提出一种位置控制为自抗扰的工业机器人变导纳自适应主动容错控制方法。首先,设计自抗扰控制器,在实现位置跟踪的同时消除外部干扰对执行器的影响。其次,为获得实际作业中除外部干扰的关节内部精确故障信息,在位置控制基础上引入自适应主动容错机制,对机器人的控制过程中出现的故障进行检测和补偿。最后,利用变导纳控制器,通过在线调整导纳参数实现对机器人的末端柔顺性能的优化,以提高机器人系统的稳定性。经过仿真验证所提方法能够有效提高工业机器人的容错能力和柔顺性,在机器人控制过程中具有良好的鲁棒性和可靠性,为工业机器人的智能化和自动化提供了新思路和方法。 展开更多
关键词 工业机器人 位置跟踪 自抗扰控制 主动容错控制 变导纳控制
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无人机舵面故障高阶滑模重构观测器设计及主动容错控制
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作者 刘勇求 刘晓峰 《火力与指挥控制》 CSCD 北大核心 2024年第4期170-176,共7页
针对无人机舵面损伤故障容错问题,提出了基于二阶非奇异终端滑模重构观测器及主动容错设计方法。在分析舵面正常偏转运动学和动力学特性基础上,构建了无人机典型舵面故障非线性特性模型。提出无人机舵面故障的高阶滑模重构滑模观测器设... 针对无人机舵面损伤故障容错问题,提出了基于二阶非奇异终端滑模重构观测器及主动容错设计方法。在分析舵面正常偏转运动学和动力学特性基础上,构建了无人机典型舵面故障非线性特性模型。提出无人机舵面故障的高阶滑模重构滑模观测器设计方案;引入线性变换降维简化观测器设计程式;将终端滑模和非奇异终端滑模结合起来,实现滑模运动有限时间快速收敛;综合自适应律、线性矩阵不等式设计观测器系数矩阵,确保状态估计偏差有界稳定。提出集状态与故障重构于一体的主动容错控制方案,并通过仿真算例检验所提方案的有效性。 展开更多
关键词 舵面故障 二阶非奇异终端滑模 无人机 主动容错 观测器
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