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Chattering Free Sliding Mode Control for Uncertain Discrete Time-Delay Singular Systems


  • This work is supported by The National Natural Science Foundation of P.R. China under grant 61134007, 61104102 and 61174029.


The problem of chattering free sliding mode control for a class of uncertain discrete singular systems with state delay is investigated in this paper. As a component of the solution, a new least squares support vector machine (LS-SVM) reaching law is proposed. In terms of linear matrix inequalities, a delay-dependent condition for sliding mode dynamics to be regular, causal, and asymptotically stable is established, and the chattering problem that appears in traditional variable structure systems is eliminated. Numerical examples are provided to demonstrate the applicability of the proposed methods.