摘要
针对一类时滞分布参数切换系统的H∞控制问题进行了研究。通过构造适当的Lyapunov函数,结合poincare不等式、线性矩阵不等式(LMI),给出了闭环系统渐近稳定的充分条件并设计了H∞状态反馈控制器和切换规则。和已有的分布参数系统的结果比较,考虑了分布参数系统中拉普拉斯算子的系数对系统性能的影响。所得结果是已有时滞分布参数系统H∞控制结论的推广。最后通过数值例子说明该设计方法的有效性。
The H∞control problem for a class of switched distributed parameter system with time-delay is considered.By constructing H∞appropriate Lyapunov functions,employing poincare and linear matrix inequalities,the asymptotical stability's sufficient condition of closed-loop delay system is given.Furthermore,the control state feedback controller and the switching rule are designed.Compared with the results of distributed parameter systems,the research considered the coefficient's influence of Laplacian.The obtained result can be regarded as the extension of H∞control for distributed parameter system.Finally,numerical examples are given to illustrate the proposed result.
作者
鲍乐平
黄璞
BAO Le-ping;HUANG Pu(Department of Automation, Taiyuan Institute of Technology, Taiyuan 030008, China;School of Information Science and Engineering, Northeast University, Shenyang 100819, China)
出处
《科学技术与工程》
北大核心
2019年第35期28-33,共6页
Science Technology and Engineering
基金
国家自然科学基金(11661020,61673169)
国家留学基金(201808140223)资助
