混沌系统的最优保性能控制

研究了混沌系统的最优保性能控制问题。通过采用线性矩阵不等式方法,获得了一类混沌系统存在保性能控制律的一个充分必要条件,在此基础上,通过建立并求解一个凸优化问题,给出了混沌系统的最优保性能控制律的设计方法。以Chen系统作为典型的例子,验证了这种控制方法的有效性。

Optimal Guaranteed Cost Control in Chaotic System

This paper makes a study of the problem of guaranteed cost control in chaotic systems,and obtains a necessary and sufficient condition existing in guaranteed cost controllers.The result shows that this condition is equivalent to the feasibility problem of a certain linear matrix-inequality system,and provides a guaranteed cost controller.The design problem of optimal guaranteed cost controller in chaotic systems is formulated as a convex optimization problem on the basis of this,which can be solved by convex optimization techniques.Finally Chen system is taken as an example to demonstrate the effectiveness of this method.