【摘 要】
：
针对一类状态矩阵、控制输入矩阵及关联矩阵存在数值界不确定性关联大系统,研究其分散鲁棒H2/H∞状态反馈控制问题.基于有界实引理提出了存在分散鲁棒H2/H∞状态反馈控制器的
【机 构】
：
中南大学信息科学与工程学院,中南大学信息科学与工程学院,中南大学信息科学与工程学院 湖南长沙410083,湖南长沙410083,湖南长沙410083
论文部分内容阅读
针对一类状态矩阵、控制输入矩阵及关联矩阵存在数值界不确定性关联大系统,研究其分散鲁棒H2/H∞状态反馈控制问题.基于有界实引理提出了存在分散鲁棒H2/H∞状态反馈控制器的参数化定理和两种LMI设计方法:直接LMI方法和迭代LMI,并用实例说明了这2种方法的有效性.理论和实验结果表明,所获得的控制器具有块对角结构,闭环大系统稳定且能优化闭环传递函数的H2/H∞性能指标.
For a class of state matrices, control input matrices and associated matrices, a numerical large-scale uncertain interconnected large-scale system is studied and the decentralized robust H2 / H∞ state feedback control problem is studied. Based on bounded real lemmas, H∞ state feedback controller parameterization theorem and two LMI design methods: direct LMI method and iterative LMI, and illustrate the effectiveness of these two methods with examples. The theoretical and experimental results show that the controller has block pairs Angle structure, closed-loop system is stable and can optimize the closed-loop transfer function H2 / H∞ performance index.
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