Title: Stability criterion for networked control systems with additive time-varying state-delays and bounded nonlinearity

Authors: K. Ramakrishnan; Goshaidas Ray

Addresses: Department of Electrical and Electronics Engineering, Pondicherry Engineering College, Puducherry 605 014, India ' Department of Electrical Engineering, Indian Institute of Technology Kharagpur, West Bengal 721 302, India

Abstract: In this paper, a robust delay-dependent stability criterion is presented for a class of networked control systems with additive time-varying state-delays and bounded nonlinear perturbations using Lyapunov-Krasovskii (LK) functional approach. In the proposed delay-dependent stability analysis, to reduce conservatism, a candidate LK functional is considered, and the time-derivative of the functional is bounded using reciprocal convex combination lemma. The proposed stability analysis eventually culminates into a stability criterion in LMI framework that can be solved readily using standard numerical packages. The effectiveness of the proposed stability criterion is illustrated using a standard numerical example and a network controlled DC servo system.

Keywords: delay-dependent stability; time-varying delays; nonlinear perturbations; Lyapunov-Krasovskii functional; linear matrix inequalities; LMIs; networked control systems; NCS; bounded nonlinearity; DC servo systems.

DOI: 10.1504/IJSCC.2016.075119

International Journal of Systems, Control and Communications, 2016 Vol.7 No.1, pp.68 - 82

Received: 29 Jan 2015
Accepted: 07 Aug 2015

Published online: 02 Mar 2016 *

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