Smooth output feedback stabilization for a class of high-order switched nonlinear systems

被引：22

作者：

Lin, Xiangze ^{[1
]}

Li, Xueling ^{[2
]}

Chen, Chih-Chiang ^{[3
]}

Li, Shihua ^{[4
]}

机构：

[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China

[2] China Pharmaceut Univ, Sch Sci, Nanjing 211198, Jiangsu, Peoples R China

[3] Natl Cheng Kung Univ, Dept Syst & Naval Mechatron Engn, 1 Univ Rd, Tainan 70101, Taiwan

[4] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2018年 / 29卷

关键词：

High-order switched nonlinear systems; Reduced-order observer; Smooth output feedback; Iterative design; P-NORMAL FORM; GLOBAL STABILIZATION; LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS; PLANAR SYSTEMS; STABILITY; DESIGN; STABILIZABILITY; ODD;

D O I：

10.1016/j.nahs.2017.12.003

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：34 / 53

页数：20

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