一种大系统分散H_∞状态反馈优化控制的算法

来源期刊：中南大学学报(自然科学版)1995年第4期

论文作者：桂卫华 吴敏 陈宁

文章页码：541 - 545

关键词：优化控制; 分散H_∞状态反馈; 迭代算法; 大系统

Key words：optimal control; decentralized H_∞ state feedback; iterative algorithm; largescale svstems

摘    要：提出了一种基于H_∞范数优化的大系统分散状态反馈控制的求解方法。首先讨论了大系统分散H_∞优化控制问题,然后提出了一种迭代算法。这种算法应用可行方向阵,保证了迭代过程的收敛性和闭环系统的稳定性,并使闭环系统传递矩阵的H_∞.范数趋于最优值。作者还给出了1个设计算倒,说明了该方法的应用及收敛性好和实用性强的特点。

Abstract: This paper provides an approach to deslgn optimal decentralized state feedback controlbased on H_∞ theory in large scale systems,It is shown that the problem of H_∞-norm opti-mization under structural restrictions on the controller can be solved relatively simply.Analgorithmi;proposed which uses the method of a feasible direction matrix.The given algo-rithm provides a minimum of the H_∞-norm of the closedloop transfer function matrix fromdisturbance inputs to controlled outputs while ensuring, at each iteration,he stability of theoverall controlled system The given example shows that the convergence of the large scale systems