文章摘要
刘于之,李木国,杜海.网络化控制系统鲁棒 H ∞ 保性能控制研究[J].,2014,54(1):131-138
网络化控制系统鲁棒 H ∞ 保性能控制研究
Research on robust H ∞ guaranteed cost control for networked control systems
  
DOI:10.7511/dllgxb201401020
中文关键词: 网络化控制系统  H ∞ 保性能控制  线性矩阵不等式  时延  数据包丢失
英文关键词: networked control systems  H ∞ guaranteed cost control  linear matrix inequality (LMI)  time delay  data packet dropout
基金项目:国家自然科学基金资助项目(61202253).
作者单位
刘于之,李木国,杜海  
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中文摘要:
      针对一类含有不确定参数被控对象的网络化控制系统(NCS),研究了网络中存在时延与丢包情况下的鲁棒 H ∞ 保性能控制问题.通过Lyapunov-Krasovskii泛函和Jensen不等式,推导出闭环NCS鲁棒渐近稳定的充分条件.与已有文献相比,该充分条件可以转换为具有较少决策变量的LMI形式.给出了NCS鲁棒 H ∞ 保性能控制律的优化设计算法.最后通过数值实例验证了算法的有效性.
英文摘要:
      Robust H ∞ guaranteed cost control problem for a class of uncertain networked control systems (NCS) with network-induced delay and packet dropout is investigated. A sufficient condition for robust asymptotic stability of the closed-loop NCS is derived by using Lyapunov-Krasovskii functional and Jensen′s inequality, which can be expressed as a linear matrix inequality (LMI) with fewer decision variables than those in existing literatures An algorithm for optimization design of the robust H ∞ guaranteed cost control law is also presented. Numerical examples are given finally to illustrate the effectiveness of the algorithm.
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