摘要
为了认识Butterworth最优控制的本质,揭开Butterworth最优传递函数与加权矩阵Q,R的相互关系,本文研究Butterworth最优控制的逆问题.首先用Butterworth最优控制确定状态反馈增益阵K,然后给出计算加权矩阵Q的参数化公式,最后用一个例子说明这种确定加权矩阵Q,R的方法的有效性和简便性.
In order to understand the essence of Butterworth optimal control, uncover the correlation between the Butterworth optimal transfer functions and the weighting matrices Q and R, the inverse problems of Butterworth optimal control are studied in this paper. Firstly, the state feedback gain matrix K is designed by the method of Butterworth optimal control. Then, the parametric formula for calculating the weighting matrix Q is given. Finally, an example is given to illustrate the effectiveness and simplicity of the method for choosing the weighting matrix Q.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2006年第3期455-457,共3页
Control Theory & Applications
基金
福建省自然科学基金资助项目(A0410020)
