摘要
一个系统的所有控制器,其能达到的不确定抑制水平是有限的,在这种极限条件下,控制器会具有存在性问题.利用状态反馈控制器分析了这种渐近性质,对极限的存在性进行了讨论.在最劣条件下,最优控制器使系统临界稳定.利用Riccati方程给出了最优状态反馈控制器存在的充分必要条件,简化了最优的判定方法,并讨论了其判定方面的问题.
The behavior of the uncertain disturbance restraining approaches to its limitation is addressed. Several usual systems are given to explain that many H∞ control problems have no optimal controllers. The asymptotic performance is analyzed in the case of H∞ state feedback controllers. The necessary and sufficient conditions are given for the existence of optimal H∞ state feedback controller in Riccati equations. The optimal controller makes system critical stabilization under the worst case disturbance. The optimal feedback controller is constructed. A simplified existing criterion of optimal controller is given by two Riccati equations.
出处
《控制与决策》
EI
CSCD
北大核心
2004年第9期1030-1033,共4页
Control and Decision
基金
福建省科技创新基金资助项目(2001J004).
关键词
鲁棒控制
最优控制
不确定性
渐近性质
Asymptotic stability
Feedback control
Riccati equations
Robustness (control systems)
State feedback
