摘要
在差分进化(DE)算法和线性矩阵不等式(LMI)方法的基础上提出了一种新型混合方法来解决H2/H∞混合控制问题。对确定系统和多面体不确定系统进行了系统的研究。DE算法用来得到控制器的样本,LMI方法用来最小化系统的H2性能指标。该方法采用了不同的Lyapunov方程表达形式,因而减小了以往算法中存在的保守性问题。最后,通过引例证明了该方法的有效性。
Based on differential evolution(DE) algorithm and linear matrix inequalities(LMIs),this paper proposed a new hybrid approach to deal with the mixed H2/H∞ control problem.Investigated both precisely known systems and uncertain systems with polytopic uncertainties.DE algorithm was used to obtain the population of controllers and the LMI based routines were used to minimize the H2 performance criterion.This approach was formulated in terms of different Lyapunov functions,which reduced the conservatism of the u...
出处
《计算机应用研究》
CSCD
北大核心
2009年第3期846-848,共3页
Application Research of Computers
基金
国家自然科学基金资助项目(59604451)
吉林大学"985"基金资助项目
