论文标题

线性离散时间系统的开环控制能力,控制策略空间和闭环性能之间的关系

Relations among Open-loop Control Ability, Control Strategy Space and Closed-loop Performance for Linear Discrte-time Systems

论文作者

Zhao, Mingwang

论文摘要

在本文中,针对线性动力学系统系统地研究了有关控制能力的定义以及开环控制能力和闭环性能之间的关系。首先,为了合理地定义和比较不同受控植物或具有不同系统参数的一个受控植物之间的状态控制能力,请讨论输入变量的归一化,状态变量,讨论了系统mdeols。借助归一化,具有时间属性的状态控制能力可以在单位输入约束(输入振幅限制)下进行区分。然后,关于开环控制能力之间关系的两个定理,控制策略空间(即,用于控制问题的输入变量的解决方案空间)以及具有时间属性的闭环性能是有目的和证明的。基于此,可以得出优化实用工程问题的控制能力的结论。最后,仿真实验向我们展示了变量和系统模型的正常化,并比较了不同受控的PALNT之间的抑制能力。

In this article, the definition on the control ability, and the relation between the open-loop control ability and the closed-loop performance are studied systematically for the linear dynamical systems. Firstly, to define and compare rationally the state control ability between the different controlled plants or one controlled plant with the different system parameters, the normalization of the input variables, the state variables, the system mdeols are discussed. With the help of the normalization, the state control ability with the time attribute can be difined under the unit input constraint (input amplitude limited). And then, two theorems on the relations among the open-loop control ability, the control strategy space (i.e., the solution space of the input variables for control problems), and the closed-loop performance with the time attribute are purposed and proven. Based on that, the conclusion that it is very necessary to optimize the control ability for the practical engineering problems can be got. Finally, the simulation experiments show us the normalizing the variables and system models, and comparing the contol ability between the different controlled palnts.

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