引用本文:吴志刚,钟万勰.有限时间H∞控制系统设计的精细积分方法[J].控制理论与应用,2002,19(2):291~296.[点击复制]
WU Zhigang,ZHONG Wanxie.The Precise Integtation Method for Finite Horizon H-infinity Control System Synthesis[J].Control Theory and Technology,2002,19(2):291~296.[点击复制]
有限时间H∞控制系统设计的精细积分方法
The Precise Integtation Method for Finite Horizon H-infinity Control System Synthesis
摘要点击 1401  全文点击 1214  投稿时间：1999-11-25  修订日期：2000-12-20
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DOI编号  10.7641/j.issn.1000-8152.2002.2.032
  2002,19(2):291-296
中文关键词  H∞控制  精细积分  Riccati方程  广义Rayleigh商
英文关键词  H-infinity control  precise integration  Riccati equation  generalized Rayliegh quotient
基金项目  博士后基金资助项目.
作者单位E-mail
吴志刚 大连理工大学 工业装备结构分析国家重点实验室, 大连 116023 wuzhg@dlut.edu.cn 
钟万勰 大连理工大学 工业装备结构分析国家重点实验室, 大连 116024  
中文摘要
      按照结构力学与最优控制的模拟理论, H∞ 状态反馈控制系统的最优H∞ 范数γop 可以通过求广义Rayleigh商的最小本征值得到. 利用精细积分法和扩展的Wittrick_Williams(W_W )方法, 可以求解有限时间H∞ 状态反馈控制的Riccati微分方程, 并确定其最优H∞ 范数γop, 实现控制系统的设计. 在此基础上, 闭环H∞ 控制系统状态方程的解也可以由精细积分法计算, 虽然
英文摘要
      Based on the analogy between structural mechanics and optimal control, the optimal H-infinity norm γop of H-infinity state feedback control system can be obtained through the computation of fundamental eigenvalue of a generalized Rayleigh quotient. To synthesise finite horizon H-infinity state feedback control system, the precise integration method is utilized to solve the Riccati differential equation and to compute the corresponding optimal H ∞ norm combined with the extended Wittrick-Williams (W-W) algorithm. The state equation of closed loop system is also solved by the precise integration method, although it is time varying. Therefore the simulation of response of H-infinity state feedback control system under the initial value disturbance can be accomplished by the precise integration method also, which is helpful for the design of control system and the evaluation of system performance.