Backstepping design for global stabilization of switched nonlinear systems in lower triangular form under arbitrary switchings

This paper is concerned with the global stabilization problem for switched nonlinear systems in lower triangular form under arbitrary switchings. Two classes of state feedback controllers and a common Lyapunov function (CLF) are simultaneously constructed by backstepping. The first class uses the co...

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Bibliographic Details
Published in:Automatica (Oxford) 2010-11, Vol.46 (11), p.1819-1823
Main Authors: Ma, Ruicheng, Zhao, Jun
Format: Article
Language:English
Subjects:
Applied sciences
Backstepping
Common Lyapunov function
Computer science
control theory
systems
Construction
Control system synthesis
Control theory. Systems
Controllers
Design engineering
Dynamical systems
Exact sciences and technology
Global stabilization
Lyapunov functions
Nonlinear dynamics
Stabilization
State feedback
Switched nonlinear systems
Switching
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Summary:This paper is concerned with the global stabilization problem for switched nonlinear systems in lower triangular form under arbitrary switchings. Two classes of state feedback controllers and a common Lyapunov function (CLF) are simultaneously constructed by backstepping. The first class uses the common state feedback controller which is independent of switching signals; the other class utilizes individual state feedback controllers for the subsystems. As an extension of the designed method, the global stabilization problem under arbitrary switchings for switched nonlinear systems in nested lower triangular form is also studied. An example is given to show the effectiveness of the proposed method.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2010.06.050