This paper performs the observer-based exponential stabilization criterion for event-triggered fuzzy systems using observer-based sliding mode fuzzy control subject to limited communication resources and unmeasurable premise variables. The nonlinear control system is modeled through a fuzzy model by considering the observer-based sliding mode control with event triggered mechanism. A discrete-time event-triggered scheme has been proposed to determine the unmeasurable states of the proposed system. To deal with the integral factors occurring in the derivate of the Lyapunov–Krasovskii functional (LKF), a new relaxed-based integral inequality has been introduced as a combination of Wirtinger-based inequality and reciprocally convex lemma together with the proposed Lemma. By employing this new integral inequality and by the Lyapunov stability theory, the exponential stability conditions with the prescribed observer and controller gain matrices are attained for ensuring the exponential stability of the T-S fuzzy system. Finally, the proposed theoretical results are applied to the truck-trailer model to validate the effectiveness of the proposed approach.

本文在通信资源有限且前提变量不可测的情况下，采用基于观测器的滑模模糊控制，对事件触发的模糊系统执行了基于观测器的指数稳定准则。考虑到基于事件的触发机制的基于观察者的滑模控制，通过模糊模型对非线性控制系统进行建模。已经提出了离散时间事件触发方案来确定所提出系统的不可测量状态。为了处理在Lyapunov–Krasovskii泛函（LKF）的导数中出现的积分因子，引入了一个新的基于松弛的积分不等式，将基于Wirtinger的不等式和倒凸引理与拟引理结合起来。通过利用这个新的积分不等式和李雅普诺夫稳定性理论，为了保证TS模糊系统的指数稳定性，在规定的观测器和控制器增益矩阵的基础上达到了指数稳定性条件。最后，将所提出的理论结果应用于卡车-拖车模型，以验证所提出方法的有效性。