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本文描述了一种抗参数扰动的最优控制器设计方法。它从解 Sylvester 矩阵方程入手,求取状态反馈增益 F,来配置期望的闭环极点。另一方面,又充分利用了多输入状态反馈配置闭环极点以外的自由度,使控制系统设计达到多目标最优。实例及仿真结果表明:由最优控制器构成的闭环系统,既能获得满意的瞬态响应,又具有较强的抗参数变化的能力。
In this paper, an optimal controller design method for anti-parameter perturbation is described. It begins with solving the Sylvester matrix equation and finds the state feedback gain F to configure the desired closed-loop pole. On the other hand, it takes full advantage of the freedom of multi-input state feedback configuration other than the closed-loop pole, so that the control system design to achieve multi-objective optimal. The simulation results show that the closed-loop system composed of the optimal controller can obtain satisfactory transient response and strong resistance to the change of parameters.