The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By ...The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By constructing a novel switched Lyapunov-Krasovskii functional,a delay-dependent criterion for the unforced system to be regular,causal and uniformly asymptotically stable is established in terms of linear matrix inequalities（LMIs）.An explicit expression for the desired memoryless state feedback stabilization controller is also given.The merits of the proposed criteria lie in their less conservativeness and relative simplicity,which are achieved by considering additionally useful terms（ignored in previous methods） when estimating the upper bound of the forward difference of the Lyapunov-Krasovskii functional and by avoiding utilizing any model augmentation transformation.Some numerical examples are provided to illustrate the validity of the proposed methods.展开更多
Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems i...Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is derived.Then,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method.展开更多
In this paper, a sufficient condition of robust D-stability for discrete-delay perturbed singular systems is presented, and the robust stability sufficient condition is independent of the delay. Two classes of perturb...In this paper, a sufficient condition of robust D-stability for discrete-delay perturbed singular systems is presented, and the robust stability sufficient condition is independent of the delay. Two classes of perturbations for systems are discussed: (1) highly structured parametric perturbations; (2) unstructured parametric perturbations. An useful technique for robust pole-assignment in a specified circular region is also proposed, the criterion is tested easily, and convenient for the application in the engineering. Two examples have been given to validate the proposed method.展开更多
Robust stabilization for a class of singular systems was studied by a new method based on time discretization, and a sufficient condition of the robust stabilization was obtained. Firstly, an approximate system of the...Robust stabilization for a class of singular systems was studied by a new method based on time discretization, and a sufficient condition of the robust stabilization was obtained. Firstly, an approximate system of the closed-loop system of the singular system with time-delays was obtained. The approximate system is a singular system in standard state space. Then, the robust stabilization of the singular system was investigated with time-delays by researching the stability of the approximate system using all the exiting analysis method. Finally, a numerical example was presented to verify the effectiveness of the new method.展开更多
基金supported by the National Natural Science Foundation of China(6090402060835001)the Jiangsu Planned Projects for Postdoctoral Research Funds(0802010C)
文摘The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By constructing a novel switched Lyapunov-Krasovskii functional,a delay-dependent criterion for the unforced system to be regular,causal and uniformly asymptotically stable is established in terms of linear matrix inequalities（LMIs）.An explicit expression for the desired memoryless state feedback stabilization controller is also given.The merits of the proposed criteria lie in their less conservativeness and relative simplicity,which are achieved by considering additionally useful terms（ignored in previous methods） when estimating the upper bound of the forward difference of the Lyapunov-Krasovskii functional and by avoiding utilizing any model augmentation transformation.Some numerical examples are provided to illustrate the validity of the proposed methods.
基金supported by the National Natural Science Foundation of China (6090400960974004)
文摘Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is derived.Then,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method.
基金National Natural Science Foundation of China (No.69934030).
文摘In this paper, a sufficient condition of robust D-stability for discrete-delay perturbed singular systems is presented, and the robust stability sufficient condition is independent of the delay. Two classes of perturbations for systems are discussed: (1) highly structured parametric perturbations; (2) unstructured parametric perturbations. An useful technique for robust pole-assignment in a specified circular region is also proposed, the criterion is tested easily, and convenient for the application in the engineering. Two examples have been given to validate the proposed method.
基金National Natural Science Foundation of P. R. China (50477042)Ph. D. Programs Foundation of Ministry of Education of P.R.China (20040422052)the Natural Science Foundation of Shandong Province (Z2004G04)
文摘Robust stabilization for a class of singular systems was studied by a new method based on time discretization, and a sufficient condition of the robust stabilization was obtained. Firstly, an approximate system of the closed-loop system of the singular system with time-delays was obtained. The approximate system is a singular system in standard state space. Then, the robust stabilization of the singular system was investigated with time-delays by researching the stability of the approximate system using all the exiting analysis method. Finally, a numerical example was presented to verify the effectiveness of the new method.
