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 ,虽然对于有限时间H∞ 状态反馈控制来讲 ,这是一个变系数线性微分方程组 .从而实现了H∞ 状态反馈控制系统初值响应的仿真 。
Based on the analogy between structural mechanics and optimal control, the optimal H ∞ norm γ op of H ∞ state feedback control system can be obtained through the computation of fundamental eigenvalue of a generalized Rayleigh quotient. To synthesise finite horizon H ∞ 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 ∞ 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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2002年第2期291-296,共6页
Control Theory & Applications
基金
博士后基金资助项目
