TY - GEN
T1 - A unified framework for lp analysis and synthesis of Linear Switched Systems
AU - Naghnaeian, Mohammad
AU - Voulgaris, Petros G.
AU - Dullerud, Geir E.
N1 - Funding Information:
This work was supported in part by the National Science Foundation under NSF Award NSF ECCS 10-27437 and AFOSR under award AF FA 9550-12-1-0193. The authors acknowledge AFOSR support under grant FA9550-15-1-0059
Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - 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.
AB - 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.
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U2 - 10.1109/ACC.2016.7524998
DO - 10.1109/ACC.2016.7524998
M3 - Conference contribution
AN - SCOPUS:84992147349
T3 - Proceedings of the American Control Conference
SP - 715
EP - 720
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 American Control Conference, ACC 2016
Y2 - 6 July 2016 through 8 July 2016
ER -