Generalised absolute stability analysis and synthesis for Lur´e-type descriptor systems

Author

Yang, C. ; Zhang, Q. ; Zhou, L.

Author_Institution

Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Liaoning Province

Volume

1

Issue

3

fYear

2007

fDate

5/1/2007 12:00:00 AM

Firstpage

617

Lastpage

623

Abstract

Lur´e-type descriptor systems (LDS) described by a linear time-invariant descriptor system with feedback-connected nonlinearities are considered. Firstly, the notion of generalized absolute stability (GAS) is defined for LDS and a necessary and sufficient condition (NASC) is derived. It is shown that GAS for LDS implies that the nominal system is admissible and the overall system is globally exponentially stable. Then, a sufficient condition for a generalised absolutely stable LDS to be of index one and solvable is presented. Furthermore, a method to estimate the decay rate of the solutions to the system is obtained. Finally, the synthesis problem is addressed and an approach to designing a state-feedback controller that renders the closed-loop system is generalised absolutely stable with a given decay rate is given. A numerical example illustrates the approach

Keywords

asymptotic stability; closed loop systems; control nonlinearities; control system analysis; control system synthesis; linear systems; nonlinear control systems; state feedback; Lure-type descriptor systems; closed-loop system; exponential stability; feedback-connected nonlinearities; generalised absolute stability analysis; generalised absolute stability synthesis; linear time-invariant descriptor system; state-feedback controller design;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

Filename

4204997