Visible to the public A Unified Frameworks for LpAnalysis and Synthesis of Linear Switched SystemsConflict Detection Enabled

TitleA Unified Frameworks for LpAnalysis and Synthesis of Linear Switched Systems
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
Date Published06/2016
Conference LocationBoston, MA
KeywordsNSA SoS Lablets Materials, science of security, Static-Dynamic Analysis of Security Metrics for Cyber-Physical Systems, UIUC
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 descriptions and the Youla parametrization and provides a unified way for analysis and 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, stabilizability and to synthesize stabilizing controllers that guarantee a near optimal closed-loop gain.

URLhttp://publish.illinois.edu/science-of-security-lablet/files/2014/05/A-Unified-Framework-for-lp-Anal...
Citation Keynode-30448

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A Unified Framework for lp Analysis and Synthesis of Linear Switched Systems