摘要
研究一类广义时滞系统的极小极大控制问题,目的是利用构造局部检验函数的方法设计极小极大控制器,使得在最坏的干扰下系统的性能指标上界极小.利用线性矩阵不等式(LM I)给出了广义时滞系统极小极大控制器存在的充分条件,讨论了闭环系统的容许性,并将所得结果推广到含有不确定性的广义时滞系统.最后以数值算例说明了所提出的控制器设计方法的有效性和可行性.
The minimax control of delay descriptor systems is discussed. A minimax controller is destgned by means of structure local criterion function, which makes the plant get the minimum under condition of worst case disturbance. And the minimax controller is got to make the close-loop system admissible and the judgment is expressed by LMI. Furthermore, this kind of result is extended to the descriptor systems with. uncertainty. A numerical example shows the effectiveness of the descriptor systems with uncertainty.
出处
《控制与决策》
EI
CSCD
北大核心
2005年第10期1107-1110,共4页
Control and Decision
基金
国家自然科学基金项目(60274009)
教育部博士点基金项目(20020145007)