主导极点圆域约束下具L_2有界不确定性系统的鲁棒优化设计问题  

Robust Optimal Design of Systems with L_2 Bounded Uncertainty Under Circular Regional Dominant Pole Constraint

作　　者：陈善本[1] 范颖晖[2] 张福恩[2] 

机构地区：[1]哈尔滨工业大学材料科学与工程系,150001 [2]哈尔滨工业大学控制工程系,150001

出　　处：《航天控制》1997年第4期17-23,共7页Aerospace Control

基　　金：国家自然科学基金!No.69474.14

摘　　要：根据闭环极点的渐近性质，在考虑了L2有界不确定性对系统闭环极点的最坏影响下利用复s平面与复ω平面之间的Mobins变换，给出满足闭环主导极点圆域约束的状态加权阵Q的选取过程，实现保证一定稳定格度并具有主导极点与非主导极点分布的鲁棒性优化设计。仿真算例表明了设计的有效性。The selection of werght matrix in LQL index for optimization of uncerain systemswith L2 bounded uncertainty while satisfying the circular regional dominant pole constraint isinvestigated. Based on the asymptotic property of closed -loop poles, the weight selection isachieved by using the Mobius transformation between complex s plane and w plane, while tak-ing into account the worst influence of L2 bounded uncmertainty to closed - loop poles. Thesimwlation illustrative example demonstrates the effectiveness of the method.

关 键 词：飞行器 自动控制系统 主导极点圆域 鲁棒优化 

分 类 号：V249.1[航空宇航科学与技术—飞行器设计]