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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.
In this paper, a method of designing a minimum sensitivity controller for a multivariable control system is described. This method not only allocates the eigenvalues of the closed-loop system to a given point, but also uses the remaining degrees of freedom of the state feedback to partially configure the closed-loop eigenvector , To meet other design specifications such as low parameter sensitivity and good response characteristics, etc. Design examples and simulations show that with this minimum sensitivity controller, the controlled system can obtain satisfactory transient response and reduce the state trajectory Parameter perturbation sensitivity.The algorithm used in this design is to solve the matrix Sylvester equation.