区域极点配置控制系统的鲁棒摄动界

Perturbation Bounds of Linear Quadratic Feedback Control System with Specified Pole Region

针对各种不确定扰动和模型失配对实际控制系统稳定性的影响 ,给出了保证线性二次 (LQ)反馈控制系统稳定的最大容许摄动界 .在此基础上 ,通过双线性变换的线性摄动关系 ,得出了保证区域极点配置LQ反馈控制系统稳定的不确定最大摄动界 .最后 ,通过计算实例说明了确定鲁棒摄动界的过程 .

Stability of the practical control system may be affected by uncertain disturbance and modelling error. The maximum allowable perturbation bounds are obtained to assure the stability of the linear quadratic system with specified pole region.This is accomplished using the linear perturbation relations of the bilinear transformation. A complete example is given to illustrate the method of solution.