基于观测器的模型不确定的耦合时空混沌H∞跟踪控制

考虑子系统的时空耦合作用及模型的不确定性,实现模型不确定的耦合时空混沌的 跟踪控制非常困难.然而耦合时空混沌的每个子系统用一系列模糊逻辑模型逼近,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.由于混沌模型的很多参数和动态 特性很难准确地确定即模型具有不确定性,因此在用模糊模型逼近的同时定会产生建模误差. 基于模糊模型及状态观测器,考虑混沌模型的不确定性,提出一种Ｈ∞ 模糊跟踪控制方法,实现模型不确定性的耦合时空混沌的鲁棒跟踪控制.将控制方 案表征为求解线性矩阵不等式问题,并用凸优化方法 关键词： 耦合时空混沌 模糊模型 模糊观测器 Ｈ∞模糊跟踪控 制 线性矩阵不等式

H∞ tracking control for coupled spatio-temporal chaos with uncertain model based on fuzzy observers

Due to the interactions among coupled spatio_temporal subsystems and th e model uncertainties, it is difficult to achieve tracking control for coupled s patio_temporal chaos with uncertain model. However, every subsystem of the coupl e d spatio_temporal chaos is approximated by a set of fuzzy models. Considering th at the st ates of the subsystems are not all available, a set of fuzzy observers are propo sed to estimate these states. Because it is very difficult to exactly eliminate many parameters and dynamic characters of the chaotic system, that is to say, the s yst em model is uncertain, there can be deviation between the fuzzy models and the real chaotic system due to approximation error. Based on these fuzzy models and observers, considering the model uncertainties, a H∞ fuzzy tracking contro l scheme is proposed, and the robust tracking control for the coupled spatio_tem pora l chaos with the uncertain model is achieved by the above scheme. A linear matri x inequali ty is employed to represent the feedback controller, the parameters of the contr oller being obtained by using the convex optimization techniques of linear matri x inequalites. The stability of the system is guaranteed and the tracking performances are tested by a simul ation example.