Asymptotic stability, l 2 gain, boundness analysis, and control synthesis for switched systems: A switching frequency approach

Weiming Xiang; Jian Xiao; Muhammad Naveed Iqbal

doi:10.1002/acs.1287

Asymptotic stability, l ₂ gain, boundness analysis, and control synthesis for switched systems: A switching frequency approach

Weiming Xiang, Jian Xiao, Muhammad Naveed Iqbal

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

24 Scopus citations

Abstract

In this paper, several concepts of switching frequency are introduced to analyze the properties and performance of switched systems in infinite as well as finite-time intervals. The observation is very motivating that different system properties and performances depend on different switching frequencies. Sufficient conditions ensuring asymptotic stability, l ₂ gain performance, and state boundness are derived on the basis of the notions of switching frequency, respectively. Then, on the basis of the analysis results, the control synthesis problems are addressed. LMI-based design algorithms are proposed to meet different control synthesis requirements. Numerical design examples are provided to demonstrate our results.

Original language	English (US)
Pages (from-to)	350-373
Number of pages	24
Journal	International Journal of Adaptive Control and Signal Processing
Volume	26
Issue number	4
DOIs	https://doi.org/10.1002/acs.1287
State	Published - Apr 1 2012
Externally published	Yes

Keywords

asymptotical stability
boundness
l gain
switched systems
switching frequency

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1002/acs.1287

Cite this

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abstract = "In this paper, several concepts of switching frequency are introduced to analyze the properties and performance of switched systems in infinite as well as finite-time intervals. The observation is very motivating that different system properties and performances depend on different switching frequencies. Sufficient conditions ensuring asymptotic stability, l 2 gain performance, and state boundness are derived on the basis of the notions of switching frequency, respectively. Then, on the basis of the analysis results, the control synthesis problems are addressed. LMI-based design algorithms are proposed to meet different control synthesis requirements. Numerical design examples are provided to demonstrate our results.",

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AU - Iqbal, Muhammad Naveed

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AB - In this paper, several concepts of switching frequency are introduced to analyze the properties and performance of switched systems in infinite as well as finite-time intervals. The observation is very motivating that different system properties and performances depend on different switching frequencies. Sufficient conditions ensuring asymptotic stability, l 2 gain performance, and state boundness are derived on the basis of the notions of switching frequency, respectively. Then, on the basis of the analysis results, the control synthesis problems are addressed. LMI-based design algorithms are proposed to meet different control synthesis requirements. Numerical design examples are provided to demonstrate our results.

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