Title: Observer-based controller design for linear time-varying delay systems using a new Lyapunov-Krasovskii functional

Authors: M. Venkatesh; Sourav Patra; Goshaidas Ray

Addresses: Department of Electrical Engineering, Indian Institute of Technology Kharagpur, West Bengal, 721302, India ' Department of Electrical Engineering, Indian Institute of Technology Kharagpur, West Bengal, 721302, India ' Heritage Institute of Technology, Chowbaga Road, Kolkata, West Bengal, India

Abstract: This paper presents an observer-based controller design method for linear systems with interval time-varying state-delay. In this work, using a new Lyapunov-Krasovskii (LK) functional, a less conservative stabilisation criterion is derived. The Wirtinger's inequality and reciprocally convex combination lemma are exploited to develop a computationally tractable method by representing the design constraints in linear matrix inequality (LMI) framework. Numerical examples are given to demonstrate the superiority of the proposed results over the existing method.

Keywords: time-delay system; observer-based stabilisation; Lyapunov-Krasovskii functional; Wirtinger's inequality; reciprocally convex combination lemma; linear matrix inequality; LMI.

DOI: 10.1504/IJAAC.2021.111767

International Journal of Automation and Control, 2021 Vol.15 No.1, pp.99 - 123

Received: 06 May 2019
Accepted: 19 Oct 2019
Published online: 14 Dec 2020 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article