摘要
考虑切换系统线性二次最优控制问题,对于时变子系统,研究由状态反馈控制与切换控制组成的最优反馈控制对的存在性。利用动态规划的原理和方法,论证了同时构造最优状态反馈控制与切换控制的可行性,并且通过一组微分Riccati边值问题的解给出了最优控制对的设计方案。对于一维切换系统,证明了最优控制对存在性的结论。提出了便于实现的反馈控制与切换控制分层独立设计的次优化方法。
The linear quadratic optimal control of switched systems is investigated. For the time-varying subsystems, the problem is to find the optimal control pair consisting of the state-feedback control and the switching control. Based on the dynamic programming approach, the optimal switching control and optimal state-feedback control are constructed simultaneously by solving a set of differential Riccati equations with boundary conditions. For the one-dimensional case, it is shown the existence of optimal control pair. Meanwhile a flexible suboptimal control sketch is presented, for which the switching control and state-feedback control are constructed separately.
作者
吕东方
毕永利
丛屾
LYU Dong-Fang;BI Yong-Li;CONG Shen(School of Mechanical ＆ Electrical Engineering, Heilongjiang University, Harbin 150080, China)
出处
《黑龙江大学工程学报》
2017年第4期68-74,共7页
Journal of Engineering of Heilongjiang University
基金
国家自然科学基金资助项目(61573131)
黑龙江省自然科学基金资助项目(F201429
LC201428)
关键词
切换系统
时变系统
线性二次最优控制
动态规划
微分Riccati方程
switching systems
time-varying systems
linear quadratic optimal control
dynamic programming
differential Riccati equations
