TY - JOUR
T1 - Smooth output feedback stabilization for a class of high-order switched nonlinear systems
AU - Lin, Xiangze
AU - Li, Xueling
AU - Chen, Chih Chiang
AU - Li, Shihua
N1 - Funding Information:
This work was supported by Natural Science Foundation of China (Grant No. 61773216 ), Natural Science Foundation of Jiangsu Province of China (Grant No. BK20171386 ), the Fundamental Research Funds for the Central Universities (Grant No. KYZ201559 ).
Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/8/1
Y1 - 2018/8/1
N2 - In this paper, the problem of global stabilization via smooth output feedback, for a class of high-order switched nonlinear systems with subsystems whose Jacobian linearization neither controllable nor observable, is addressed. By virtue of adding a power integrator approach, a common Lyapunov function is found and state stabilizing feedback laws are designed simultaneously. Reduced-order observers for the switched nonlinear systems are constructed to estimate the unmeasurable states. A machinery is developed to make the observer gains assignment in an iterative way possible. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotical stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control. An example is employed to verify the efficiency of the proposed method.
AB - In this paper, the problem of global stabilization via smooth output feedback, for a class of high-order switched nonlinear systems with subsystems whose Jacobian linearization neither controllable nor observable, is addressed. By virtue of adding a power integrator approach, a common Lyapunov function is found and state stabilizing feedback laws are designed simultaneously. Reduced-order observers for the switched nonlinear systems are constructed to estimate the unmeasurable states. A machinery is developed to make the observer gains assignment in an iterative way possible. Coupling the state feedback controllers with the developing nonlinear observers, global asymptotical stabilization of the switched nonlinear system under arbitrary switchings is achieved by the output feedback control. An example is employed to verify the efficiency of the proposed method.
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U2 - 10.1016/j.nahs.2017.12.003
DO - 10.1016/j.nahs.2017.12.003
M3 - Article
AN - SCOPUS:85043287037
VL - 29
SP - 34
EP - 53
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
SN - 1751-570X
ER -