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conference paper
Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach
Mignone, D.
•
Ferrari-Trecate, G.
•
Morari, M.
2000
Proc. 39th Conference on Decision and Control
In this paper we present various algorithms both for stability analysis and state-feedback design for discrete-time piecewise affine systems. As in (Johansson and Rantzer, 1998), our approach hinges on the use of piecewise quadratic Lyapunov functions that can be computed as the solution of a set of linear matrix inequalities. We show that the continuity of the Lyapunov function is not required in the discrete-time case. Moreover, the basic algorithms are made less conservative by exploiting the switching structure of piecewise affine systems and by using relaxation procedures.
Type
conference paper
Authors
Mignone, D.
•
Ferrari-Trecate, G.
•
Morari, M.
Publication date
2000
Published in
Proc. 39th Conference on Decision and Control
Volume
1
Note
Sidney, Australia, 12-15 December.
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
January 10, 2017
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