基于特征结构配置的最小灵敏度控制器设计
Design of Minimum Sensitivity Controllers by Eigenstructure Assignment
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摘要: 本文描述了一种多变量控制系统的最小灵敏度控制器的设计方法.该方法除将闭环系统 的特征值配到给定点外,还利用状态反馈所剩余的自由度,对闭环特征向量实行部分配置,以 满足其它设计指标,如低参数灵敏度和良好的响应特性等.设计举例和仿真表明,采用这种最 小灵敏度控制器,被控系统既能获得满意的瞬态响应,又能降低状态轨迹对参数扰动的灵敏 度.本设计采用的算法是以解矩阵Sylvester方程为主.Abstract: A procedure for the design of minimum sensitivity controllers of multivariable control systems is described in this paper. Besides assigning the closed-loop eigenvalues to the specified points, the remaining degrees of freedom of he state feedback are utilized .to partially assign closed-loop eigenvectors to meet other design properties, such as low parameter sensitivity and good response. A design example and simulation show that with this controller, the controlled system can both achieve satisfactory transient characteristics and reduce trajectory sensitivity to parameter perturbation. The computational approach is based on the solution of the matrix Sylvester equation.
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