Title: H_∞ stabilisation of discrete time-delayed systems with anti-windup approach

Authors: Komal Agrawal; Nehal Srivastava; Richa Negi; Vipin Chandra Pal

Addresses: Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Prayagraj, Uttar Pradesh, 211002, India ' Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Prayagraj, Uttar Pradesh, 211002, India ' Department of Electrical Engineering, Motilal Nehru National Institute of Technology, Prayagraj, Uttar Pradesh, 211002, India ' Department of Electronics and Instrumentation Engineering, National Institute of Technology Silchar, Assam, 788010, India

Abstract: This paper is devoted to analysing the stability of a discrete time-delayed system subjected to saturation. To ensure the asymptotic stability of the closed-loop system, an anti-windup compensator has been designed where the anti-windup gains are calculated via linear matrix inequality (LMI) technique. The accomplishment of the system has been investigated using H_∞ technique to tackle external interference. By employing Wirtinger inequality with reciprocal convex inequality, delay-dependent solution of the system ensures the asymptotic stability of the system. An optimisation methodology is given to maximise the basin of attraction. Numerical illustrations prove the efficacy of the proposed criterion.

Keywords: discrete-time system; time delay; actuator saturation; asymptotic stability; anti-windup; H_∞.

DOI: 10.1504/IJAAC.2024.135095

International Journal of Automation and Control, 2024 Vol.18 No.1, pp.110 - 132

Received: 01 Oct 2022
Accepted: 07 Feb 2023
Published online: 30 Nov 2023 *

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