This article concerns the exponential H ∞ tracking control problem of uncertain switched stochastic systems with mixed time-varying delays including discrete delay and distributed delay. First, according to the multiple Lyapunov-Krasovskii functional described by the mixed time-varying delays and the average dwell time method, a delay-dependent sufficient conclusion is obtained, which makes the augmented system mean-square exponential stable and satisfies the H ∞ tracking performance. Then, the corresponding controllers are designed to ensure that the system has H ∞ model reference tracking performance based on the above stability analysis. Finally, a numerical example and water quality preservation problems are employed to corroborate the usefulness of the method.
K E Y W O R D Saverage dwell time, H ∞ tracking control, mixed time-varying delays, uncertain switched stochastic system
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