Observer-based controller design for linear time-varying delay systems using a new Lyapunov-Krasovskii functional
by M. Venkatesh; Sourav Patra; Goshaidas Ray
International Journal of Automation and Control (IJAAC), Vol. 15, No. 1, 2021

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.

Online publication date: Mon, 14-Dec-2020

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