摘要
优化控制方法可以考虑系统性能和节省能源,但是不能给出初始稳定区域的描述.本文阐述的优化控制方法可以给出初始稳定区域的描述,使得约束非线性系统有限时间稳定.首先设计有限时间优化控制器使得系统的状态在有限时间内进入初始稳定区域,同时优化目标函数,系统实现性能最优和消耗最小.进而设计有限时间鲁棒镇定控制器使得系统的状态在有限时间内收敛到原点. Lyapunov函数分析方法给出了吸引域的估计,并确保在不同状态下,设计的控制器使得闭环系统有限时间稳定.最后给出了一个仿真实例验证算法的有效性.
The optimization control method can consider the performance of the system and save energy, but it can’t give the description of the initial stability region. An optimization control method that can give the description of the initial stability region is presented in this paper to stabilize a class of switched nonlinear systems with constrains in finite time. First, finite-time optimization controller is designed to pull system’s states to enter the initial stability region in finite time, at the same time, objective function is optimized, the system can achieve the best performance and the lowest energy consumption. Then finite-time robust stabilizing controller ensures that the system’s states converge to the origin in finite time. The estimation of the region of attraction can be prescribed by Lyapunov function method, and the controllers can stabilize the closed-loop system according to the different states in finite time. Final, the simulation example is used to verify the effectiveness of the proposed algorithm.
作者
淳于丹丹
苏佰丽
孙宗耀
CHUNYU Dan-dan;SU Bai-li;SUN Zong-yao(College of Engineering,Qufu Normal University,Rizhao Shandong 276826,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2019年第5期753-758,共6页
Control Theory & Applications
基金
国家自然科学基金项目(61374004,61773237,61473170)
中国博士后科研基金项目(2017M610414)
山东省研究生教育优质课程(SDYKC17079)
山东省重点研发计划项目(2017GSF18116)资助~~
