Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties

Author

Mahmoud, Magdi S. ; Al-Muthairi, Naser F.

Author_Institution

Dept. of Electr. & Comput. Eng., Kuwait Univ., Safat, Kuwait

Volume

39

Issue

10

fYear

1994

fDate

10/1/1994 12:00:00 AM

Firstpage

2135

Lastpage

2139

Abstract

This paper develops a method for designing a feedback control law to stabilize a class of uncertain linear systems. The class of systems under consideration is described by a continuous-time model with variable-state delay and depends on time-varying unknown-but-bounded uncertain parameters. It is shown that the construction of the stabilizing controller involves solving a certain algebraic Riccati equation. Several previous results are derived as interesting special cases. Finally, a simulation example is presented to illustrate the analytical developments

Keywords

control system synthesis; delays; feedback; stability; time-varying systems; algebraic Riccati equation; continuous time systems; continuous-time model; feedback control design; norm-bounded time-varying uncertainties; quadratic stabilization; state-delay; time-varying unknown-but-bounded uncertain parameters; uncertain linear systems; variable-state delay; Continuous time systems; Control systems; Delay systems; Eigenvalues and eigenfunctions; Linear systems; Matrix decomposition; Riccati equations; Time varying systems; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.328812

Filename

328812