离散系统最优极点配置问题的研究

提出了一种以极点移动为基础的离散系统最优极点配置的新方法，得到了加权矩阵和最优闭环系统在频域内的关系；讨论了指定闭环极点的选择问题，并举例说明了该方法的有效性和简便性。这种方法的主要优点是保证了加权矩阵的正定性以及不需要求解复杂的矩阵代数Ｒｉｃｃａｔｉ方程也可确定满足指定闭环极点配置要求的状态反馈增益矩阵。

THE STUDY OF THE OPTIMAL POLE ASSIGNMENT PROBLEM FOR DISCRETE SYSTEMS

Based on the pole-shifting,a new method of optimal pole assignment for diScrete systemsis presented.The relation between the weighting matrices and optimal closed-loop system is obtained in the freqency domain,and the choice of the prescribed closed-loop poles is discussed.In the end ,an illustrative example is presented to demonstrate the effectiveness and simplicity of the method.This new method has the main advantages that the positivity of weighting matrices is proved out and the state feedback gain matrix satisfing the poles assignment is easily determined without solving the complex matrix algebraic Riccati equation.