控制理论(社会学)
有界函数
非线性系统
控制(管理)
数学
转化(遗传学)
航程(航空)
功能(生物学)
微分同胚
上下界
变结构控制
数学优化
计算机科学
滑模控制
工程类
进化生物学
生物
基因
物理
数学分析
航空航天工程
人工智能
化学
量子力学
生物化学
作者
Chenming Li,Ye‐Hwa Chen,Hao Sun,Han Zhao
标识
DOI:10.1080/00207179.2020.1841911
摘要
In this paper, we study the constraints of control inputs, which is important to system performance, but rarely noticed. To deal with the constraints in practical situations, a new approach is proposed based on using diffeomorphism, which is the first introduced. Based on this transformation, the control input can be regarded as a function of an auxiliary variable. As a result, the value of control input is limited to a prescribed bound by choosing the proper bounded function. That is, it provides a new aspect to deal with the inequality control input constraints. The range of the input bounds is related to the uncertainties and can be designed according to the actual situation. This novel control is proven to guarantee uniform boundedness and uniform ultimate boundedness. In the simulation, we show this control renders a superior performance at a lower control cost, comparing with the LQR control.
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