A result on the hyperstability of a class of hybrid dynamic systems

Author

de la Sen, M.

Author_Institution

Dept. de Electr. y Electron., Pais Vasco Univ., Bilbao, Spain

Volume

42

Issue

9

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

1335

Lastpage

1339

Abstract

This paper presents a hyperstability theorem for a class of hybrid dynamic systems composed of coupled differential and difference equations subject to (possibly) time-varying nonlinearities satisfying a Popov-type inequality. The nonlinear controller generates the plant input at all times from its sampled values by defining an extended discrete system. The hyperstability results are obtained from this discrete system of special type whose state consists of the sampled continuous substate and the digital substate of the given hybrid system. Some corollaries and related physical interpretations are also given

Keywords

Popov criterion; control nonlinearities; differential equations; nonlinear control systems; stability; time-varying systems; Popov-type inequality; coupled equations; difference equations; differential equations; extended discrete system; hybrid dynamic systems; hyperstability; nonlinear controller; sampled continuous substate; stability; time-varying nonlinearities; Automatic control; Control systems; Delay estimation; Delay systems; Differential equations; Interpolation; Nonlinear dynamical systems; Optimal control; Robustness; State-space methods;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.623104

Filename

623104