摘要
为了改善控制器性能,降低控制器设计过程中存在的保守性,基于线性矩阵不等式(LMI)方法,结合辅助变量替换技术,研究了一类参数不确定线性系统具有极点约束条件的状态反馈鲁棒保成本弹性控制问题.系统中的参数不确定性满足范数有界条件,设计的非脆弱控制器具有乘性增益变化.首先,利用矩阵变换方法,将极点约束鲁棒保成本弹性控制器的设计问题归结为一个线性矩阵不等式凸优化求解问题,通过求解该凸优化问题可以获得控制器参数.然后,利用辅助变量替换技术改进控制器设计方法,降低控制器设计中存在的保守性.最后,通过数值仿真验证了所给出的控制器设计方法的可行性.
In order to improve the performance of the controller and reduce the conservativeness in the controller design procedure,the problem of robust guaranteed cost resilient control for uncertain systems with pole constraint is proposed via the linear matrix inequality theory and the instrumental variable replacement method. The parameter uncertainties of the investigated systems are assumed to satisfy norm-bounded conditions. The case of multiplicative control gain variations is considered. First,the design issue of robust guaranteed cost resilient controller with pole constraint is developed to the convex optimal linear matrix inequality condition by the matrix transformation method. The control parameters can be obtained by solving the convex optimization condition. Then,the less conservative controller design is proposed via the instrumental variable replacement method. Finally,the numerical example shows that the proposed controller design method is valid.
出处
《东南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2010年第S1期287-291,共5页
Journal of Southeast University：Natural Science Edition
关键词
不确定系统
乘性增益变化
保成本弹性控制
极点约束
辅助变量替换
uncertain system
multiplicative gain variation
guaranteed cost resilient control
pole constraint
instrumental variable replacement
