Title: H_∞ performance analysis for uncertain systems with actuator fault control via relaxed integral inequalities

Authors: C. Karthik; G. Nagamani

Addresses: Department of Mathematics, The Gandhigram Rural Institute-Deemed to be University, Gandhigram – 624 302, Tamil Nadu, India ' Department of Mathematics, The Gandhigram Rural Institute-Deemed to be University, Gandhigram – 624 302, Tamil Nadu, India

Abstract: This paper investigates the stability behaviour of uncertain systems with time-varying delays under actuator fault control in the continuous case. The proposed H_∞ control problem is constructed such that the dynamics of the uncertain system under actuator fault is asymptotically stable. Based on Lyapunov-Krasovskii functional technique and using the relaxed integral inequality, the delay-dependent Stability criterion is established for ensuring the stability behaviour of the addressed time delay uncertain systems with regard to linear matrix inequality (LMI) with prescribed gain matrices. Lastly, two numerical examples with simulations are presented to illustrate the validity of the proposed theoretical results.

Keywords: H_∞ control; actuator faults; uncertainty; LKF; Lynapunov-Krasovskii functional; relaxed integral inequality; LMI; linear matrix inequality.

DOI: 10.1504/IJDSDE.2021.120053

International Journal of Dynamical Systems and Differential Equations, 2021 Vol.11 No.5/6, pp.630 - 646

Accepted: 05 Apr 2021
Published online: 05 Jan 2022 *

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