摘要
本文对结构式不确定系统给出了一种鲁棒输出反馈设计算法,首先导出了包括不确定因素在内的H∞范数作为鲁棒性指标,可用梯度法进行优化.为了限制输出反馈阵K的高增益,在性能指标中附加了K的Forbenius范数作为惩罚项,并给出了相应的寻优算法,以求得合适的输出反馈阵.算例表明,优化效果明显.
This paper presents an algorithm for robust design of systems with structured uncertainty,using output feedback. First we provide a H∞-norm including uncertain factors as robust index,which canbe optimized with gradient method. In order to restrict the high gain of the output feedback matrix K, thispaper considers the Frobenius-norm of K as a penalty term in the performance index. Finally the algorithmis provided to obtian the appropriate output feedback matrix. The numerical results show that its effect isideal.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
1996年第5期672-676,共5页
Control Theory & Applications
基金
国家自然科学基金
关键词
输出反馈
鲁棒控制
H∞范数
寻优算法
output feedback
robust control
H∞-norm
structured uncertainty