Stochastic H_∞ finite-time control of networked cascade control systems under limited channels, network delays and...

Communication channel in the control loop brings new challenging topics that cause the controller design for the system very complicated. Data packet dropout, delay and limited channel are the main inevitable problems that can significantly degrade the system performance. Besides, stability analysis of such systems over infinite time interval using the Lyapunov stability concept imposes significant restrictions in practice due to control input saturation. The purpose of this paper is to introduce a control algorithm for stabilizing the discrete-time networked cascade control systems to suppress the detrimental effects of limited channel, delay and data packet dropout by means of finite-time H_∞ control. Non-uniformly distributed nature of the delay together with packet dropout are modeled as a Bernoulli distributed white sequence. Finite-time boundedness and stochasticH_∞finite-time stability are demonstrated by designing a switching state-feedback controller. Simulations are given to show the proposed controller under the network imperfections.