In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by co...In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.展开更多
This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and un...This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.展开更多
基金Foundation item:Supported by the National Natural Science Foundation of China(61473151,61673169)the Natural Science Fund for Distinguished Young Scholars of Jiangsu Province(BK20150034)
基金Supported by National Natural Science Foundation of China(60904026)the Program for New Century Excellent Talents in University+1 种基金the Graduate Innovation Program of Jiangsu Province(CX09B-051Z)the Scientific Research Foundation of Graduate School of Southeast University (YBJJ0929)
文摘In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.
基金Outstanding Youth Science Foundation of P.R.China
文摘This paper investigates the design of robust guaranteed cost observer for a class of lineardescriptor time-delay systems with jumping parameters. The system under study involves time de-lays, jumping parameters and uncertainties. The transition of the jumping parameters in systems isgoverned by a finite-state Markov process. The objective is to design linear memoryless observers suchthat for all uncertainties, the resulting augmented system is regular, impulse free, robust stochasti-cally stable independent of delays and satisfies the proposed guaranteed cost performance. Based onstability theory in stochastic differential equations, a sufficient condition on the existence of robustguaranteed cost observers is derived. Robust guaranteed cost observers are designed in terms of linearmatrix inequalities. A convex optimization problem with LMI constraints is formulated to design thesuboptimal guaranteed cost filters.
