Stability criterion for networked control systems with additive time-varying state-delays and bounded nonlinearity
by K. Ramakrishnan; Goshaidas Ray
International Journal of Systems, Control and Communications (IJSCC), Vol. 7, No. 1, 2016

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.

Online publication date: Thu, 03-Mar-2016

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