Input-dependent stability analysis of systems with saturation in feedback

Author

Pogromsky, Alexander Yu ; Matveev, A.S. ; Chaillet, Antoine ; Ruffer, B.

Author_Institution

Dept. of Mech. Eng., Eindhoven Univ. of Technol.Eindhoven, Eindhoven, Netherlands

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

5903

Lastpage

5908

Abstract

The paper deals with global stability analysis of linear control systems with saturation in feedback driven by an external input. Various new criteria based on non-quadratic Lyapunov functions are proposed, that unlike many previous results, offer better account for the role of the external excitation by providing input-dependent conditions for stability of solutions. For example, it is shown that even if the system fails to satisfy the incremental version of the circle criterion, the stability is guaranteed whenever the uniform root mean square value of the input signal is less than a computable threshold. The general theoretical results are illustrated in the case of the double integrator closed by a saturated linear feedback with an external excitation.

Keywords

Lyapunov methods; feedback; linear systems; stability; circle criterion; double integrator; external excitation; global stability analysis; input signal; input-dependent stability analysis; linear control systems; nonquadratic Lyapunov functions; saturated linear feedback; uniform root mean square value; Asymptotic stability; Convergence; Lyapunov methods; Stability criteria; Standards; Steady-state;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760820

Filename

6760820