具有指定性能的不稳定时滞对象H_2控制器(英文)

Quantitative Performance Design for H_2 Controllers of Unstable Processes with Time Delay

本文基于 H2 最优控制理论针对一类不稳定对象推导了具有指定性能的控制器整定公式。设计过程分为两步。首先根据闭环系统渐近跟踪约束寻找满足要求的控制器集合 ,然后定义 H2 最优性能指标 ,利用有理近似逼近控制对象中的纯滞后 ,进行控制器推导。最后 ,分析了系统的性能和稳定性 ,给出了判定的充要条件。在给出的例子中比较了新的控制器和其它控制器的性能。

Based on the H_2 optimal control theory, the controller of a class of unstable processes is designed for quantitative performance in this paper. The design procedure is divided in to two steps. First, the conditions that guarantee the internal stability and asymptotic tracking of the closed loop system are investigated. Second, the optimal performance index is defined. A rational approximation of time delay is introduced for deriving the controller and explicit formulas are obtained. The performance and robustness are discussed. Sufficient and necessary conditions are given. Examples are given to illustrate the new method.