时变广义系统线性二次最优控制
The Linear-quadratic Optimal Control of Timevarying Descriptor Systems
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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.Abstract: 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.
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Key words:
- Descriptor systems /
- optimal control /
- state-space system /
- equivalent transformation
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