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Reciprocal convex approach to delay-dependent stability of uncertain discrete-time systems with time-varying delay

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2 Author(s)
Ramakrishnan, K. ; Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India ; Ray, G.

In this paper, we consider the problem of delay-dependent stability of a class of uncertain linear discrete-time systems with time-varying delay using Lyapunov functional approach. By exploiting a candidate Lyapunov functional, and using reciprocal convex approach in the delay-dependent stability analysis, a less conservative robust stability criterion is derived in terms of linear matrix inequalities (LMIs) for computing the maximum allowable bound of the delay-range, within which, the uncertain system under consideration remains asymptotically stable in the sense of Lyapunov. The effectiveness of the proposed criterion over a recently reported result is validated using a standard numerical example.

Published in:

American Control Conference (ACC), 2012

Date of Conference:

27-29 June 2012