Step response bounds for time varying uncertain systems with bounded disturbances

Author

Blanchini, F. ; Miani, S. ; Sznaier, M.

Author_Institution

Dipartimento di Matematica e Inf., Udine Univ., Italy

Volume

3

fYear

1995

fDate

13-15 Dec 1995

Firstpage

3188

Abstract

In this paper we focus our attention on the determination of upper bounds of the l^∞ norm of the output of a linear discrete-time dynamic system driven by a step input, in the presence of both persistent unknown-but-l^∞ bounded disturbances and memoryless time-varying model uncertainty. For the same type of systems we also analyze the transient behavior of the step response in terms of its overshoot. The problem is solved in a constructive way by determining appropriate D-invariant sets contained in a given convex region. Finally, we show how to extend these results to continuous-time systems

Keywords

asymptotic stability; continuous time systems; discrete time systems; memoryless systems; robust control; step response; time-varying systems; transient analysis; uncertain systems; bounded disturbances; continuous-time systems; l^∞ norm; linear discrete-time dynamic system; memoryless time-varying model; overshoot; robust control; step response bounds; time varying uncertain systems; transient behavior; upper bounds; Informatics; Linear matrix inequalities; Mathematical model; Robustness; Steady-state; Time varying systems; Transient analysis; Uncertain systems; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1995., Proceedings of the 34th IEEE Conference on

Conference_Location

New Orleans, LA

ISSN

0191-2216

Print_ISBN

0-7803-2685-7

Type

conf

DOI

10.1109/CDC.1995.478638

Filename

478638