TY - GEN
T1 - Switching Output Feedback Control of LTI Systems
AU - Xiao, Minqing
AU - Zhai, Guisheng
AU - Yu, Qiang
AU - Lian, Jie
N1 - Funding Information:
Corresponding address: gs.zhai@gmail.com (Guisheng Zhai). This research has been supported in part by National Science Foundation of Fujian Province of China under Grant 2017J01567, and the Fundamental Research Funds for the Central Universities under grant no. JBK190502, and by the Japan Ministry of Education, Sciences and Culture under Grants-in-Aid for Scientific Research (C) 21560471.
Publisher Copyright:
© 2020 IEEE.
PY - 2020/10/9
Y1 - 2020/10/9
N2 - For linear time-invariant (LTI) systems, we consider a switching control composed of a collection of static output feedback controllers and an output dependent switching law so that the closed-loop system is asymptotically stable when the controllers are switched under the switching law. Both certain and uncertain LTI systems are dealt with. Multiple Lyapunov functions and a piecewise observer are proposed to implement the switching law, and sufficient conditions are derived for the existence condition and the computation of multiple Lyapunov functions and static output feedback gains.
AB - For linear time-invariant (LTI) systems, we consider a switching control composed of a collection of static output feedback controllers and an output dependent switching law so that the closed-loop system is asymptotically stable when the controllers are switched under the switching law. Both certain and uncertain LTI systems are dealt with. Multiple Lyapunov functions and a piecewise observer are proposed to implement the switching law, and sufficient conditions are derived for the existence condition and the computation of multiple Lyapunov functions and static output feedback gains.
KW - Linear time-invariant (LTI) system
KW - multiple Lyapunov functions
KW - norm bounded uncertainty
KW - piecewise observer
KW - static output feedback
KW - switched system
KW - switching law
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U2 - 10.1109/ICCA51439.2020.9264465
DO - 10.1109/ICCA51439.2020.9264465
M3 - Conference contribution
AN - SCOPUS:85098057707
T3 - IEEE International Conference on Control and Automation, ICCA
SP - 1032
EP - 1037
BT - 2020 IEEE 16th International Conference on Control and Automation, ICCA 2020
PB - IEEE Computer Society
T2 - 16th IEEE International Conference on Control and Automation, ICCA 2020
Y2 - 9 October 2020 through 11 October 2020
ER -