具有预期闭环极点区域的稳定控制器的H∞优化设计方法

本文从工程应用角度出发,提出了一种将闭环极点设置于预期稳定区域的稳定控制器的 H∞优化设计方法,即实参数优化求解控制器的方法.这种方法综合考虑了闭环动态性能、抗 干扰、鲁棒性以及控制器本身的稳定性.实例表明,与现有的H∞设计方法相比,用本文方法 设计的控制系统在不显著增大抗干扰和鲁棒性指标情况下,具有闭环动态性能良好及控制器 稳定等优点,因此具有工程应用价值.

A H∞ Optimal Design of Stable Controller Ensuring Assigned Region of Closed-Loop Poles

In this paper, an H∞ optimal design method of stable controllers ensuring assigned region of closed-loop poles is presented. A method of obtaining controllers is described using real parameter optimization. The method fulfils engineering requirements on closed-loop behaviour, disturbance rejection and robustness as a whole. It is worth to mention that the method always gives a stable controller. This is important from the engineering point of view. Numerical examples show that a controller designed by the proposed method has good closed-loop behaviour, and that the disturbance rejection and robustness properties are not very much worse than that of any controller designed by the existing H∞ methods. Hence this method is applicable to practical problems.