A RobustH∞ Fault Tolerant Controller for Uncertain Systems Described by Linear Fractional Transformation Model

Abstract

In this article, a robust ∞ fault tolerant control law is addressed for a class of the uncertain dynamical systems represented via linear fractional transformation. To this objective, a state-feedback controller law is utilized for achieving the control objective. Thus, a linear matrix inequality based performance condition would be derived to guarantee that the disturbance suppression is accomplished in the uncertain system. Hence, the gains of the robust ∞ controller would be suitably determined by checking the feasibility of such a convex linear matrix inequality problem. The proposed control technique is numerically simulated in two dynamical uncertain systems (i.e., a typical control system and a mechanical robotic arm). Considering the disturbance rejections and transient responses, the results illustrate the efficiency of the recommended robust technique compared with the existing control methods.INDEX TERMS Robust ∞ fault tolerant controller; uncertain control systems; linear fractional transformation; linear matrix inequality.

Fractional Modelling and Optimal Control of COVID-19 Transmission in Portugal

“…In particular, mathematical modelling plays an important role in the prediction of possible scenarios and in its effective control [2,3]. Readers interested in fractional modelling are referred to [4,5] and references therein.…”