A Lyapunov approach to analysis of discrete singular systems

Author

Zhang, Q.L. ; Liu, Wei Qiang ; Hill, David

Author_Institution

Coll. of Sci., Northeastern Univ., Shenyang, China

Volume

3

fYear

2001

fDate

2001

Firstpage

2844

Abstract

In this paper, a new type of generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to studying problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type of Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structural properties of discrete singular systems is investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design a state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk

Keywords

Lyapunov methods; Riccati equations; closed loop systems; control system analysis; discrete systems; poles and zeros; state feedback; closed-loop systems; controllability; discrete singular systems analysis; disk; finite pole clustering; generalized Lyapunov equation; generalized Riccati equation; necessary conditions; observability; pole clustering; state feedback law; structural properties; sufficient conditions; Australia; Control systems; Controllability; Differential equations; Educational institutions; Observability; Riccati equations; State feedback; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.980705

Filename

980705