Normalisation design for delayed singular Markovian jump systems based on system transformation technique

ABSTRACT This paper deals with the problem of normalisation and stabilisation for time-varying delayed singular Markovian jump systems by virtue of proportional-derivative state feedback control. Based on the system transformation technique, the normalisation problem of singular systems is changed into the stabilisation problem of the augmented singular systems. Sufficient conditions are provided in terms of linear matrix inequalities by constructing mode-dependent and delay-dependent Lyapunov–Krasovskii functional. Simulation examples including an oil catalytic cracking process are utilised to verify the effectiveness and usefulness of the proposed method.

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