H基于模糊观测器参数摄动的耦合时空混沌H跟踪控制

由于子系统的时空耦合作用及参数的摄动性，实现参数摄动的耦合时空混沌的跟踪控制非常困难。然而模型未知的耦合时空混沌的每个子系统可由一系列模糊逻辑模型逼近，每个模糊逻辑模型代表子系统在特定运行点的局部线性化模型，同时考虑子系统状态的不可测性，采用模糊观测器来估计子系统的状态。基于模糊模型及状态观测器，计及混沌参数的摄动性，提出一种模糊跟踪控制方案，实现了参数摄动的耦合时空混沌的鲁棒跟踪控制，并将模糊跟踪控制表征为线性矩阵不等式问题，用线性矩阵不等式的凸优化方法求解控制器参数，确保系统的全局渐近稳定性。仿真验证了方案的有效性。

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

Due to the interactions among coupled spatio-temporal subsystems and the parametric uncertainties, it is difficult to achieve the tracking control of the coupled spatio-temporal chaos with parametric uncertainties. However every subsystem of the coupled spatio-temporal 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 newfuzzy tracking control scheme is proposed, where a linear matrix inequalities (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.