Visible to the public A Unified Framework for lp Analysis and Synthesis of Linear Switched SytemsConflict Detection Enabled

TitleA Unified Framework for lp Analysis and Synthesis of Linear Switched Sytems
Publication TypeConference Paper
Year of Publication2016
AuthorsMohammad Naghnaeian, University of Illinois at Urbana-Champaign, Petros G. Voulgaris, University of Illinois at Urbana-Champaign, Geir Dullerud, University of Illinois at Urbana-Champaign
Conference NameAmerican Control Confernce
Date Published07/2016
Conference LocationBoston, MA
Abstract

In this paper we develop a new framework to analyze stability and stabilizability of Linear Switched Systems (LSS) as well as their gain computations. Our approach is based on a combination of state space operator descritions and the Youda parametrization and provides a unified way to analysis an synthesis of LSS and in fact of Linear Time Varying (LTV) systems, in any lp induced norm sense. By specializing to the l case, we show how Linear Programming (LP) can be used to test stability, stabiliazbility and to synthesize stabilizing controllers that guarantee a near optimal closed-loop gain.

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