A Fast Weight Optimization Method in H∞ Loop-shaping Design for Single Input Single Output System
A weight optimization method for single input single output system H∞ Loop-shaping Design is addressed.Using the proposed method,suboptimal weight which meets constraints of desired loop-shaping and grade of amplitude-frequency curve of weight can be obtained.Acceptable range of amplitude-frequency curve of weight is also given,in which maximum robust stable margin is kept.Designer can choose low order whose amplitude-frequency curve is within this range no matter how much fitting error between the selected weight and optimal amplitude-frequency is.Simulation results show that the proposed method can maximize the robust stable margin while ensuring loop shape of open loop plant lives in a pre-defined region and grade of weight less than the value given by designer.Stable lightly damped pole-zero cancellation is prevented,which is attributed to grade constraint of amplitude-frequency curve of the synthesized weight.And corresponding program is at least 100 times faster than similar optimization algorithm which completely is based on linear matrix inequality technology.
H∞ Loop Shaping Weight Optimization Robust Control Lightly Damped System
Liu Yuyan Zhou Shiliang
School of Control and Computer Engineering,North China Electric Power University,Beijing 102206 School of Nuclear Science and Engineering,North China Electric Power University,Beijing 102206
国际会议
长沙
英文
1072-1077
2014-05-31(万方平台首次上网日期,不代表论文的发表时间)