A Unified Framework for lp Analysis and Synthesis of Linear Switched Sytems
| Title | A Unified Framework for lp Analysis and Synthesis of Linear Switched Sytems |
| Publication Type | Conference Paper |
| Year of Publication | 2016 |
| Authors | Mohammad 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 Name | American Control Confernce |
| Date Published | 07/2016 |
| Conference Location | Boston, 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. |
| Citation Key | node-29201 |
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