线性广义系统的最优控制  

Optimal Control for Linear Descriptor Systems

作　　者：张庆灵[1] 邢伟[1] 张国峰[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110006

出　　处：《东北大学学报（自然科学版）》2000年第6期672-674,共3页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金! (6 95 740 0 4) ;辽宁省自然科学基金! (9710 46 );教育部骨干教师基金资助项目

摘　　要：研究线性广义系统的最优控制问题·引入线性广义系统的Riccati方程 ,给出了该系统在二次性能指标下存在线性最优控制的充分必要条件·The quadratic optimal control problem is investigated for linear descriptor systems which are the natural models of various practical control systems such as circuits systems, economics, power systems, robots and electric networks, etc. First by adopting restricted system transformation (RST), a type of generalized Lyapunov equation is proposed to study the asymptotic stability of the descriptor systems concerned. Then based on this Lyapunov equation, a generalized Riccati equation is derived and studied. Finally several necessary and sufficient conditions for the existence of optimal controller are obtained by using this Riccati equation and the optimal controller guarantees that the pre specified performance index is obtained as well as the asymptotic stability of the closed loop systems. The result here shows that it is unnecessary to consider the impulse behaviors when one wants only to discuss the asymptotic stability and the quadratic optimal control problem of the linear descriptor systems.OptimalCon

关 键 词：线性广义系统 RICCATI方程 线性最优控制 LYAPUNOV方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231.1[自动化与计算机技术—控制科学与工程]