线性离散系统开环控制能力、控制策略空间与闭环性能的关系
Relations among Open-loop Control Ability, Control Strategy Space and Closed-loop Performance for Linear Discrte-time Systems
摘要：
本文系统地研究了线性动力系统的控制能力的定义，以及开环控制能力与闭环性能之间的关系。首先，为了合理地定义和比较不同被控对象或同一被控对象在不同系统参数下的状态控制能力，讨论了输入变量、状态变量、系统模型的归一化问题。在单位输入约束（输入幅值受限）下，利用归一化方法定义了具有时间属性的状态控制能力。在此基础上，给出了开环控制能力、控制策略空间（即，控制问题的输入变量的解空间），以及具有时间属性的闭环性能。在此基础上，得出了对实际工程问题进行控制能力优化的必要性。最后，通过仿真实验对变量和系统模型进行了归一化处理，并比较了不同控制策略的控制能力。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
