H_∞ tracking control of coupled spatiotemporal chaos with parametric uncertainties based on fuzzy observers

摘要

Due to the interactions among coupled spatiotemporal subsystems and the parametric uncertainties, it is difficult to achieve the tracking control of the coupled spatiotemporal chaos with parametric uncertainties. However, every subsystem of the coupled spatiotemporal chaos can be approximated by a set of fuzzy models. Considering that all states of the subsystem are not available, fuzzy observers are suggested to estimate these states. Based on these fuzzy models and observers, and the consideration of the parametric uncertainties, a new H_∞ fuzzy tracking control scheme is proposed, where a linear matrix inequality (LMI) is employed to represent the feedback controller. The parameters of the controller are obtained by using convex optimization techniques of LMI. The robust stability of the controlled system is guaranteed in this scheme. The tracking performances are tested by simulation as an example.