连续系统线性二次型期望极点配置问题的研究

STUDY ON THE LINEAR QUADRATIC EXPECTED POLE ASSIGNMENT PROBLEM FOR THE CONTINUOUS TIME SYSTEM

  • 摘要: 本文以线性二次型性能指标中的加权矩阵和最优闭环系统在频域内的解析关系为基础,提出了一种新的期望极点配置方法.该方法的主要优点是不必求解复杂的矩阵Riccati方程也可很容易地确定满足指定闭环极点配置要求的状态反馈矩阵.本文还讨论了指定闭环极点的选择方法,并用例子说明这种极点配置方法的有效性和简便性.

     

    Abstract: This paper presents a new method of the expected pole assignment based on the analytical relationship between the weighting matrices in the linear quadratic performance and the closed-loop systems in the frequency domain.The advantage of the method is that the state feedback matrix satisfying the pole assignment can be easily determined without solving the complex matrix algebraic Riccati equation.The choice of prescribed closed-loop poles is discussed and the effectiveness and simplicity of the method is expounded based on an example.

     

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