多变量自适应极点配置对偶控制的研究

Dual control for multivariable adaptive pole placement

针对参数未知的多变量差分方程形式的系统,首先利用Kalman滤波器进行参数辨识,根据确定性等价原理对系统进行极点配置;然后利用极点配置得到的非对偶控制器作为标称输入,其对应的输出作为标称输出,进而根据双指标准则进行对偶控制器的设计;最后给出一个仿真实例,验证该算法的可行性和有效性.

The dual control of multivariable unknown parameter difference equation system is studied. Firstly, by using Kalman filter, the unknown parameter is estimated. Based on certainty equivalence principle, the pole placement is made to the original system. Then the controller, which is obtained through the pole placement, is regarded as the nominal input, the corresponding output is named for the nominal output and the dual controller is designed with bicriterion. Finally, the simulation example shows the feasibility and effectiveness of the method .