Tracking control for non-Gaussian stochastic distribution sampled-data fuzzy systems.

This paper studies the tracking control problem for the non-Gaussian stochastic distribution sampled-data fuzzy systems. First, by constructing an augmented system, an asynchronous proportional-integral (PI) controller is designed such that the probability density functions (PDFs) of the system output can track the target one. Second, by introducing two sets (the extension reachable set and the ellipsoid set), the state trajectories of the augmented system with persistent reference input signal can be restricted in a given local region, namely, the state constrained problem can be addressed. Furthermore, in some existing asynchronous controller strategies, it is required that the derivative of the membership function of the system not explicitly depends on the system input. However, in this paper, by restricting the state into a specified region, a new asynchronous scheme is proposed so as to the above-mentioned requirement is removed. Finally, an example is given to demonstrate the efficiency of the presented method.