research report
Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach
Mignone, D.
•
Ferrari-Trecate, G.
•
Morari, M.
2000
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
research report
Author(s)
Mignone, D.
Ferrari-Trecate, G.
Morari, M.
Date Issued
2000
Editorial or Peer reviewed
REVIEWED
Written at
OTHER
EPFL units
Available on Infoscience
January 10, 2017
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