Computation of Root-Mean-Square Gains of Switched Linear Systems

Authors:
João Hespanha
Affiliations:
-
Venue:
HSCC '02 Proceedings of the 5th International Workshop on Hybrid Systems: Computation and Control
Year:
2002

Citing 4
Cited 0

Criteria of asymptotic stability of differential and difference inclusions encountered in control theory

Systems & Control Letters
Robust and optimal control

Robust and optimal control
Lie-Algebraic Stability Criteria for Switched Systems

SIAM Journal on Control and Optimization
Logic-based switching algorithms in control

Logic-based switching algorithms in control

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Abstract

In this paper we compute the root-mean-square (RMS) gain of a switched linear system when the interval between consecutive switchings is large. The algorithm proposed is based on the fact that a given constant 驴 provides an upper bound on the RMS gain whenever there is a separation between the stabilizing and the antistabilizing solutions to a set of 驴-dependent algebraic Riccati equations. The motivation for this problemis the application of robust stability tools to the analysis of hybrid systems.