分散H2/H∞控制的LMI方法
来源期刊：中南大学学报(自然科学版)1999年第2期
论文作者：谢永芳 桂卫华 刘晓颖 吴敏
文章页码：92 - 95
关键词：分散控制; H2/H∞控制;LMI;迭代算法;大系统
Key words：decentralized control; H2/H∞ control; LMI; iterative algorithm; large scale systems
摘 要：描述了大系统分散H2/H∞状态反馈 控制问题，提出了存在分散H2/H∞状态反馈控制器的参数化定理和2种设计方法：直接线性矩阵不等式LMI)方法和迭代LMI(ILMI)方法，并用实例说明了这２种方法的应用．理论和实验结果表明，所获得的状态反馈矩阵具有块对角结构，闭环系统稳定且能优化闭环传递函数的H2/H∞性能指标．
Abstract: This paper provides two methods to design decentralized state feedback suboptimal controllers based on H2/H∞ theory for large-scale systems. In the paper, the problem of decentralized H2/H∞ state feedback control is described, and the parametrization theorem for state feedback controller where decentralized H2/H∞ exists is offered and two methods based on linear matrix inequality(LMI) are proposed to solve the problem : the direct LMI approach and iterative LMI(ILMI) approach. The controller obtained has the block diagonal structure, ensures the closed-loop system asymptotically stable and offers an H2/H∞ perform index optimized. The given example shows the applications of the methods.
