多输入灰色控制系统的状态反馈问题

本文提出了一种利用非线性规划来确定灰色系统反馈阵K的设计方法。其特点是充分利用已知的信息,使闭环系统对开环灰矩阵A((?))的平均白化阵有希望的极点,对任意可能的偏差阵,希望极点的变化尽可能的小,当不确定性最差时,系统具有稳定性。

State Feedback Problems in Multi-Input Grey Linear Control Systems

This paper presents a pole assignment method for the grey linear control system by solving the nonlinear programming. By making the best use of the known information, a reasonable feedback matrix K is selected such that (1) for the average white matrix of the grey matrix A() in the open loop system, the closed system has prescribed poles; (2) for any possible biased white matrix, the variation of the poles of a closed system can be minimized; (3) even if the uncertainty of the parameters is in the worst situation, the closed system is still stable. In order to minimize the perturbation to the poles of a closed loop due to the biased white matrix, the problem has been reduced to a nonlinear programming model which can be solved by many algorithms. To save computational time, an effective algorithm for assigning the closed loop poles for grey linear systems is proposed with a proof of the reasonableness of the simplified objective function.