WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Robust Finite-time H∞ Control for Discrete-time Nonlinear Uncertain Singular Systems with Time-delay
Authors: , ,
Abstract: This paper deals with the problems of finite-time H∞ control for a class of discrete-time nonlinear singular systems subject to uncertainties and external disturbance. Firstly, the finite-time stability problem is discussed for discrete-time nonlinear uncertain singular systems with time-delay. The sufficient conditions of finite-time stability of discrete-time nonlinear singular systems are established. Then, by using the Lyapunov functional method, a criterion is established to ensure that the closed-loop system with external disturbance is finite-time bounded. We design the controller gain matrix. Finally, we provide a numerical example to illustrate the effectiveness of the proposed results.
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Keywords: Finite-time stability, discrete-time singular systems, finite-time boundedness, parametric uncertainty
Pages: 524-532
DOI: 10.37394/23206.2022.21.58