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 |
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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). |
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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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