TY - JOUR
T1 - Robust observer design for nonlinear uncertain switched systems under asynchronous switching
AU - Xiang, Weiming
AU - Xiao, Jian
AU - Iqbal, Muhammad Naveed
N1 - Funding Information:
This work was supported by the National Natural Science Foundation of China (No. 60674057 , No. 60974027 ) and Youth Foundation of Southwest University of Science and Technology ( 10zx3121 ).
PY - 2012/2
Y1 - 2012/2
N2 - Switching between the system and the associated observer or controller is in fact asynchronous in switched control systems. However, many times we assume it synchronous, for simplicity. In this paper, the robust observer design problems for a class of nonlinear uncertain switched systems for synchronous and asynchronous switching are addressed. At first, a robust observer under synchronous switching is proposed based on average dwell time approach. After that, the results are extended to robust observer design in the asynchronous case. In this case, two working modes are adopted to facilitate the studies on the issue. Finally, an extension case covering more practical applications is investigated under asynchronous switching. The designed observer cannot maintain the asymptotical stability of error state, but the eventual boundness is guaranteed. At the end, a numerical design example is given to illustrate our results.
AB - Switching between the system and the associated observer or controller is in fact asynchronous in switched control systems. However, many times we assume it synchronous, for simplicity. In this paper, the robust observer design problems for a class of nonlinear uncertain switched systems for synchronous and asynchronous switching are addressed. At first, a robust observer under synchronous switching is proposed based on average dwell time approach. After that, the results are extended to robust observer design in the asynchronous case. In this case, two working modes are adopted to facilitate the studies on the issue. Finally, an extension case covering more practical applications is investigated under asynchronous switching. The designed observer cannot maintain the asymptotical stability of error state, but the eventual boundness is guaranteed. At the end, a numerical design example is given to illustrate our results.
KW - Asynchronous switching
KW - Average dwell time
KW - Eventual boundness
KW - Observer
KW - Switched system
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U2 - 10.1016/j.nahs.2011.08.001
DO - 10.1016/j.nahs.2011.08.001
M3 - Article
AN - SCOPUS:80052535002
SN - 1751-570X
VL - 6
SP - 754
EP - 773
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
IS - 1
ER -