The issue of finite-time event-triggered sliding mode control (SMC) is investigated for a class of interval type- II fuzzy Markov jump systems with partially known transition probabilities. Firstly, for the sake of saving network resources, a dynamic event-triggered scheme (DETS) is proposed to determine whether to transmit the signal or not. Then, a feasible SMC law is developed that makes the state trajectory of the system reach the specified sliding surface in finite-time. Thereafter, by means of the time partition strategy, sufficient conditions for the system to be bounded in finite-time during the arrival and sliding stages are derived. Additionally, the controller gains are computed by utilizing the linear matrix inequality (LMI) toolbox. Lastly, the advantages of the SMC strategy are verified by simulation products.
In this paper, we investigate the finite-time event-triggered sliding mode control(SMC) issue of a class of interval type-II fuzzy semi-Markov jump systems affected by quantization and fading channels. Firstly, the data needs to be quantized by logarithmic quantizers before being transmitted over the channel. To alleviate network pressure, a periodic event-triggered scheme is introduced to govern whether the data are sent to the sensor-tocontroller(S/C) channel or not. As the transmitted data passes through the S/C channel, it could undergo fading. Then, considering the asynchronous issue between the system mode and the controller mode, an asynchronous control scheme is applied; Thereafter, a feasible fuzzy observer-based SMC law is developed, which enables the state trajectories of the system to reach the specified sliding surface within finite-time; And with the aid of the time partition strategy, sufficient conditions for the system to be bounded in finite-time during the arrival and sliding stages are derived. Besides, by means of the linear matrix inequality(LMI) toolbox, the controller and the observer gains are computed. Finally, the advantages of the SMC strategy are validated by emulation products.
This paper is concerned with the \(H_{\infty}\) proportional-integral-derivative (PID) control problem for a class of discrete-time networked control systems (NCSs). First, a dynamic event-triggered control (DETC) scheme has been introduced to save the constrained network bandwidth of networked control systems. In addition, in order to reduce the probability of data packet loss and further improve the reliability of network communication, a redundant channels transmission mechanism has been constructed during the sensor transmission process. Considering that the system state may not be obtained directly, an observer has been added when designing a closed-loop system to observe the system state. Then, according to the closed-loop system construction, with the help of Lyapunov function and through a series of derivations, some sufficient conditions are established to guarantee the exponentially stability and the prescribed \(H_{\infty}\) performance for the controlled system. Meanwhile, under the condition that the system satisfies the \(H_{\infty}\) performance, the gains of the observer and PID controller can be derived by solving linear matrix inequalities (LMIs). Finally, a simulation example is presented to demonstrate the validity of the proposed method.
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