Combined H∞ and passivity control for networked control systems with random gain fluctuations and sojourn probabilities: A switched system approach

On the basis of the passivity theory, the problem of designing non‐fragile H∞ control for a class of networked control systems (NCSs) with the plant being a switched system is presented. The NCSs under consideration are modeled by considering the network‐induced imperfections like transmission delays and packet dropouts as a single time‐varying delay. The network status is assumed to vary on the basis of sojourn probabilities, and these probabilities are known a prior. The controller is designed including stochastic fluctuations in its gain matrix by considering the Bernoulli distributed white sequence along with time‐varying probability measures. The key steps in this method are to construct an improved Lyapunov–Krasovskii Functional and to utilize reciprocally convex technique. The sojourn probability‐dependent sufficient criteria are obtained to ensure the closed‐loop, mode‐dependent switched NCSs to be robustly stochastically stable on the basis of the combined H∞ and passivity performance. The effectiveness of the proposed method is illustrated through an example. Copyright © 2017 John Wiley & Sons, Ltd.

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