Quadratic stability and stabilization of bimodal piecewise linear systems

This paper deals with quadratic stability and feedback stabilization problems for continuous bimodal piecewise linear systems. First, we provide necessary and sufficient conditions in terms of linear matrix inequalities for quadratic stability and stabilization of this class of systems. Later, these...

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Bibliographic Details
Published in:Automatica (Oxford) 2014-05, Vol.50 (5), p.1444-1450
Main Authors: Eren, Yavuz, Shen, Jinglai, Camlibel, Kanat
Format: Article
Language:English
Subjects:
Applied sciences
Bimodal systems
Common quadratic Lyapunov function
Computer science
control theory
systems
Control system analysis
Control system synthesis
Control systems
Control theory
Control theory. Systems
Dynamic tests
Dynamics
Exact sciences and technology
Feedback
Feedback stabilization
Linear systems
Piecewise linear systems
Quadratic stability
Stability
Stabilization
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Summary:This paper deals with quadratic stability and feedback stabilization problems for continuous bimodal piecewise linear systems. First, we provide necessary and sufficient conditions in terms of linear matrix inequalities for quadratic stability and stabilization of this class of systems. Later, these conditions are investigated from a geometric control point of view and a set of sufficient conditions (in terms of the zero dynamics of one of the two linear subsystems) for feedback stabilization are obtained.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2014.03.009