摘要
利用 L Q最优控制逆问题的参数化解 ,将求解对称、非负定加权矩阵 Q的问题变为一类 F-范数优化问题 ,给出了一种求解离散时间系数 L Q最优控制加权矩阵 Q的数值解法 .算法的优点在于任意给定一组自变量 ,通过解这类优化问题就可以求得满足闭环特征值要求的加权矩阵 Q。
The numerical algorithms are given to solve the weighting matrix Q of discrete time systems by transforming the problem of determing a symmetric,nonnegative weighting matrix to a F norm optimization problem.The methods have the advantage that the weighting matrix can be obtained to meet the requirements of the closed loop eigenvalues by optimizing the F norm with a set of initial variables arbitrarily chosen.Simulation shows the algorithms to have good performance in convergence.
出处
《天津工业大学学报》
CAS
2001年第3期35-38,共4页
Journal of Tiangong University
