Fault Tolerant Control Design For Polytopic LPV Systems

TLDR

Polytopic linear parameter varying (LPV) systems require fault‑tolerant control strategies to maintain performance under actuator faults. This work proposes a static output‑feedback design for such LPV systems that can handle multiple actuator faults. The controller is synthesized via linear matrix inequalities for both fault‑free and faulty operating points to guarantee closed‑loop stability. A new sufficient condition for the solvability of the stabilizing output‑feedback problem is derived, and a numerical example demonstrates the method’s effectiveness.

Abstract

Fault Tolerant Control Design For Polytopic LPV Systems 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.