摘要
本文从理论上分析了LQ 问题逆推法解的存在性和唯一性,给出了二次型最优闭环系统在频域内的两个必要条件,以及单输入线性定常可控系统逆推法解存在的充分必要条件。所得结论对于设计一个具有预期闭环极点的最优控制系统有着很重要的指导意义。最后推导出二阶系统两个主要动态参数ξ,ω_n 与权阵 Q、最优反馈阵K 以及被控系统参数之间的关系。
The existence and uniqueness of the solutions of the inverse method for IQ problems are theoretically analysed in this paper.Two necessary conditions for linear quadratic optimal closed—loop systems in the frequency domain are gived out,and the sufficient and necessary condition for the existence of the inverse method for single input linear time—invariant controllable systems are presented.The gained results is very significant for design of a optimal system with prescribed closed—loop poles.In the end,the relation between two dyn- amic parameters ξω_n and the weighting matrix Q and optimal feedback matrix K is derived.
出处
《西北轻工业学院学报》
1990年第4期25-30,116-117,共6页
Journal of Northwest University of Light Industry
关键词
线性二次型
逆推标法
最优控制系统
LQ problems
optimal control
inverse method
optimal control systems
