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Robust/Reliable Stabilization of Multi-Channel Systems via Dilated LMIs and Dissipativity-Based Certifications
 

Summary: Robust/Reliable Stabilization of Multi-Channel Systems via
Dilated LMIs and Dissipativity-Based Certifications
Getachew K. Befekadu, Member, IEEE, Vijay Gupta, Member, IEEE, and Panos J. Antsaklis, Fellow, IEEE
Abstract-- In this paper, we consider the problem of reliable
stabilization for a multi-channel system, where our main
objective is to maintain the stability of the perturbed closed-loop
system and when there is a single controller failure in any of
the control channels. We specifically present a computationally
tractable and less-conservative result in terms of a set of
dilated LMIs for the reliable state feedback stabilization of the
nominal system, while a dissipativity-based certification is used
to extend the stability condition under model perturbation in
the system. Finally, a numerical example is used to demonstrate
the applicability of the proposed technique.
I. INTRODUCTION
Reliable control using multi-controllers, which was originally
proposed by Siljak [1], is used for enhancing robustness
against possible component failures that occur in controllers
or sensors and actuators. In a multi-channel decentralized
control configuration (e.g., see references [2], [3]), the objec-

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering