Output feedback stabilization for switched systems subject to saturation nonlinearity

This paper studies the stabilization problem via output feedback for a class of switched discrete-time linear systems subject to saturation nonlinearity. A switched output feedback controller in the quasi-LPV form is designed which guarantees the closed-loop system is locally asymptotically stable....

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Bibliographic Details
Main Authors: Yong-Mei Ma, Guang-Hong Yang
Format: Conference Proceeding
Language:English
Subjects:
Actuators
Control system synthesis
Control systems
Linear feedback control systems
Linear systems
LMIs
Lyapunov method
Nonlinear control systems
Output feedback
quasi-LPV
saturation nonlinearity
State feedback
Switched systems
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Summary:This paper studies the stabilization problem via output feedback for a class of switched discrete-time linear systems subject to saturation nonlinearity. A switched output feedback controller in the quasi-LPV form is designed which guarantees the closed-loop system is locally asymptotically stable. New sufficient LMI conditions related to the number of system modes are proposed for control synthesis, which are developed by introducing a new congruence transformation. The design problem of controller (coefficient matrices) that maximizes an estimation of the domain of attraction is then reduced to optimization problems with LMI constraints. A numerical example is given to illustrate that the proposed method is less conservative than existing results on the same problem.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2008.4586766