摘要
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。
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.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2007年第6期27-30,共4页
Journal of Air Force Engineering University(Natural Science Edition)
基金
高等学校博士学科点专项基金(20060700007)
陕西省自然科学基金资助项目(2005F15)
西安财经学院科研基金资助项目(06JD02)
