摘要
设计了单输入多变量系统的最优控制问题,动态约束为n阶指数阻尼振子,得到了指数阻尼振子最优性的必要条件,以单自由度指数阻尼振子的最优控制问题为例,采用一组内部变量替换来求解两点边值问题,得到了单自由度指数阻尼振子最优性的必要条件.数值模拟结果很好地展示了该控制设计。
In this paper,the optimal control problem of the single-input multi-variable system is designed.The dynamic constraints are the n-order exponentially damped oscillators,and the necessary conditions for the optimality of the exponentially damped oscillators are obtained.Taking the optimal control problem of the exponentially damped oscillators of single degree of freedom as an example,a set of internal variables are used to solve the two-point boundary value problem,and the necessary conditions for the optimality of the exponentially damped oscillators of single degree of freedom are obtained.The numerical simulation results show the above control design well.
作者
修国众
王丽英
时宝
XIU Guozhong;WANG Liying;SHI Bao(School of Software,Zhengzhou University of Industrial Technology,Xinzheng 450064,Henan,China;School of Basic Sciences for Aviation,Naval Avition University,Yantai 264001,Shandong,China;Department of Mathematics and Physics,Yantai Nanshan University,Longkou 265713,Shandong,China)
出处
《上海师范大学学报（自然科学版）》
2023年第3期332-338,共7页
Journal of Shanghai Normal University(Natural Sciences)
基金
河南省高等学校重点科研项目(23B110013)
郑州市智能交通视频图像感知与识别重点实验室项目(郑科[2020]34号)
郑州工业应用技术学院重点项目(2023ZD005)。
关键词
指数阻尼振子
最优控制
两点边值问题
性能指标函数
exponentially damped oscillators
optimal control
two point boundary value problem
performance index function
