论文信息 - Stabilization of discrete-time singular systems: a matrix inequalities approach

Stabilization of discrete-time singular systems: a matrix inequalities approach

This paper is concerned with the state feedback stabilization problem of discrete-time singular systems. The singular system under consideration is not assumed to be regular. The problem we address is to design state feedback controllers such that the resulting closed-loop system is regular, causal and stable. Conditions for the existence of solutions to this problem are obtained, expressed in terms of certain matrix inequalities. When these conditions are satisfied, the explicit formula of desired state feedback controllers is also given without resorting to decomposing the system matrices.

Shengyuan Xu | Chengwu Yang | Shengyuan Xu | Chengwu Yang

[1] C. Desoer,et al. Feedback Systems: Input-Output Properties , 1975 .

[2] Cheng-Wu Yang,et al. Observer design for singular systems with unknown inputs , 1989 .

[3] A. Varga. On stabilization methods of descriptor systems , 1995 .

[4] Izumi Masubuchi,et al. PII: S0005-1098(96)00193-8 , 2003 .

[5] T. Katayama,et al. A generalized Lyapunov theorem for descriptor system , 1995 .

[6] T. Katayama. A spectral factorization algorithm for discrete-time descriptor systems via generalized eigenproblems , 1994 .

[7] C. S. Berger,et al. A simple approach to stabilization of discrete-time systems by output feedback , 1985 .

[8] Wei Lin,et al. Solutions to the output regulation problem of linear singular systems , 1996, Autom..

[9] P. Bernhard. On Singular Implicit Linear Dynamical Systems , 1982 .

[10] Pradeep Misra,et al. On the discrete generalized Lyapunov equation, , 1995, Autom..

[11] Luciano Pandolfi,et al. Controllability and stabilization for linear systems of algebraic and differential equations , 1980 .

[12] L. Dai,et al. Singular Control Systems , 1989, Lecture Notes in Control and Information Sciences.

[13] A. T. Neto,et al. Stabilization via static output feedback , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[14] Tohru Katayama,et al. (J, J′)-Spectral factorization and conjugation for discrete-time descriptor system , 1996 .