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离散系统最优极点配置问题的研究

THE STUDY OF THE OPTIMAL POLE ASSIGNMENT PROBLEM FOR DISCRETE SYSTEMS
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摘要 提出了一种以极点移动为基础的离散系统最优极,支配置的新方法,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Riceati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。 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.
作者 谢宋和
出处 《郑州轻工业学院学报》 1995年第1期15-21,共7页 Journal of Zhengzhou Institute of Light Industry(Natural Science)
关键词 最佳控制 最优极点配置 离散系统 intermittent systems optimal control Riccati equation weighted optimal pole assignment
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