摘要
研究时变广义系统线性二次最优控制问题。通过引进时变广义系统脉冲能控性及脉冲能观性等概念，建立了这类问题与标准状态空间系统二次指标问题的等价性。进而证明了解的存在唯一性，给出了解的表示和最优反馈综合。
In this paper, the optimal control problem of linear time-varying systems with quadratic cost is discussed. The equivalent relationship between this problem and that of standard state-space systems is established by introducing the concepts of impulse-controllability and impulse-observability of time-varying systems. Furthermore, the existence and uniqueness of the solution of this problem are proved, an expression of the solution and a feed-back synthesis of the optimal control are given.
出处
《自动化学报》
EI
CSCD
北大核心
1995年第5期537-544,共8页
Acta Automatica Sinica
基金
国家自然科学基金
山东省自然科学基金
关键词
广义系统
最优控制
状态空间系统
等价变换
Keywords systems, optimal control, state-space systems, equivalent transformation
