International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2007
Volume 17 - 2007

Fault tolerant control design for polytopic LPV systems

Mickael Rodrigues, Didier Theilliol, Samir Aberkane, Dominique Sauter

Abstract
This paper deals with a Fault Tolerant Control (FTC) strategy for polytopic Linear Parameter Varying (LPV) systems. The main contribution consists in the design of a Static Output Feedback (SOF) dedicated to such systems in the presence of multiple actuator faults/failures. The controllers are synthesized through Linear Matrix Inequalities (LMIs) in both fault-free and faulty cases in order to preserve the system closed-loop stability. Hence, this paper provides a new sufficient (but not necessary) condition for the solvability of the stabilizing output feedback control problem. An example illustrates the effectiveness and performances of the proposed FTC method.

Keywords
fault tolerant control, multiple actuator failures, polytopic LPV systems, LMI, static output feedback, stability

DOI
10.2478/v10006-007-0004-5