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

Xiangze Lin, Xueling Li, Chih Chiang Chen, Shihua Li

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)34-53
Number of pages20
JournalNonlinear Analysis: Hybrid Systems
Volume29
DOIs
Publication statusPublished - 2018 Aug 1

Fingerprint

Feedback Stabilization
Switched Systems
Output Feedback
Nonlinear systems
Stabilization
Nonlinear Systems
Higher Order
Feedback
Observer
Nonlinear Observer
Feedback Law
Output Feedback Control
Lyapunov functions
State feedback
Linearization
State Feedback
Lyapunov Function
Feedback control
Machinery
Subsystem

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Analysis
  • Computer Science Applications

Cite this

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Smooth output feedback stabilization for a class of high-order switched nonlinear systems. / Lin, Xiangze; Li, Xueling; Chen, Chih Chiang; Li, Shihua.

In: Nonlinear Analysis: Hybrid Systems, Vol. 29, 01.08.2018, p. 34-53.

Research output: Contribution to journalArticle

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