一种简化的H_∞控制混合灵敏度算法  

Simplified H_∞ Mixed Sensitivity Algorithm

作　　者：张显库[1] 贾欣乐[1] 

机构地区：[1]大连海事大学轮机工程研究所,大连116026

出　　处：《控制理论与应用》2001年第2期307-309,313,共4页Control Theory & Applications

基　　金：高等学校博士学科点专项科研基金! (980 15 10 1)资助项目

摘　　要：受到回路成形思想的启发 ,通过对H∞ 控制的S T混合灵敏度奇异值曲线的观察及基于S和T具有相关性的考虑给出一种简化的H∞ 控制混合灵敏度算法 .该算法避免了权函数的选择而对系统进行闭环增益成形 ,其核心是确定闭环系统传递函数即T的最终希望的形状 ,不加任何权函数 ,直接设计出K .由于T和S的相关性 ,T的形状确定 ,S 的形状也就确定了 。Inspired by the loop shaping theory, a kind of simplified H ∞ mixed sensitivity algorithm is presented. This is based on the observation on the characteristics of the singular value curves of H ∞ S/T mixed sensitivity function as well as on the correlativity between S and T. The core of the algorithm is to shape T that is the transfer function of the closed loop system according to the knowledge a priori, then the controller K is designed directly without selecting any weighting functions. It is obvious that if the shape of T is fixed, the shape of S is also fixed because of the correlativity of S and T. Therefore it guarantees fundamentally that the designed control system will have fine control performance and robustness.

关 键 词：H∞控制 混合灵敏度算法 传递函数 鲁棒控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]