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  4. Stability and Stabilization of Piecewise Affine and Hybrid Systems: An LMI Approach
 
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.

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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
SCI-STI-GFT  
Available on Infoscience
January 10, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/132719
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