Fast switching analysis of linear switched systems using exponential splitting

M. Porfiri; D. G. Roberson; D. J. Stilwell

doi:10.1137/060665750

Fast switching analysis of linear switched systems using exponential splitting

M. Porfiri, D. G. Roberson, D. J. Stilwell

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

Original language	English (US)
Pages (from-to)	2582-2597
Number of pages	16
Journal	SIAM Journal on Control and Optimization
Volume	47
Issue number	5
DOIs	https://doi.org/10.1137/060665750
State	Published - 2008

Keywords

Averaging method
Exponential splitting
Fast switching
Linear systems
Stability
Switched systems

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

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10.1137/060665750

Cite this

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AU - Roberson, D. G.

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N2 - Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

AB - Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary (including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

KW - Averaging method

KW - Exponential splitting

KW - Fast switching

KW - Linear systems

KW - Stability

KW - Switched systems

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JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 5

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Fast switching analysis of linear switched systems using exponential splitting

Abstract

Keywords

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