LMI-Based Robust Control of Norm-Bounded Uncertain Perturbed Discrete Systems with both State and Input Delays

Yang Li

doi:10.4028/www.scientific.net/AMR.591-593.1208

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 591-593LMI-Based Robust Control of Norm-Bounded Uncertain...

LMI-Based Robust Control of Norm-Bounded Uncertain Perturbed Discrete Systems with both State and Input Delays

Abstract:

This paper is concerned with the problem of norm-bounded uncertain perturbed discrete systems(NUPDS) with both state and input delays.Based on constructing a quadratic Lyapunov function, a delay-dependent criteria, which is expressed in terms of linear matrix inequalities(LMIs), has been proposed to guarantee the asymptotic stability of the system.Compared with existed open literature, this paper suggests a novel controller design method , which deals with more aspects including time-varying parameter uncertainties, perturbation, state and input time-delays.In addition, we also consider the condition of operating region is outer approximated by extended ellipsoids, which can be ultilized for dealing with the perburbed term of the system. The solution of the LMIs can be obtained easily by using existed efficient convex optimization techniques. In the end, a numerical example is given to illustrate the effectiveness of the proposed theoretical result.

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Periodical:

Advanced Materials Research (Volumes 591-593)

Pages:

1208-1211

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.591-593.1208

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Online since:

November 2012

Authors:

Yang Li

Keywords:

Discrete-Delay System, Linear Matrix Inequality (LMI), Lyapunov Method

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