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In this paper, we consider the problem for passivity analysis and passive control of uncertain discrete switched systems with interval time-varying delay and linear fractional perturbations via a simple switching signal design. A new Lyapunov-Krasovskii functional is used to propose some LMI conditions that design the switching signal to guarantee the passivity and passive switching control of discrete switched time-delay systems. Jensen and Park inequalities combined with delay-partitioning approach are investigated to improve the conservativeness of the obtained results. Finally, some numerical examples and a water quality model illustrate the main proposed results.

Passivity analysis and passive control for uncertain discrete switched time-delay systems via a simple switching signal design