文献类型：期刊文献

英文题名：An optimal control model for the Lyapunov system of stability problem

作者：Xiong, Xiaolin[1]; Lao, Zhi[1]; Feng, Zhiguo[2]

机构：[1] Institute of Intelligent Manufacturing, Zhanjiang Science and Technology College, Zhanjiang, 524094, China; [2] Guangdong Ocean University, Faculty of Mathematics and Computer Science, Zhanjiang, 524088, China

年份：2021

起止页码：3768

外文期刊名：Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021

收录：EI(收录号：20220911715560)

基金：This work is supported by the grant of Guangdong Basic and Applied Basic Research Foundation (No. 2020A1515010463) and the program for scientific research start-up funds of Guangdong Ocean University.

语种：英文

外文关键词：Control system stability - Numerical methods - Optimal control systems - Lyapunov methods

外文摘要：Lyapunov theory is the key point of stability problems. In this paper, we consider the stability problem of a nonlinear system. First, we design the control function and prove that the Lyapunov function can be maximally reduced. Next, we treat the Lyapunov function as a state variable and formulate a dynamic system of Lyapunov function, where the control is the magnitude of original control function. After proving that there exist many control functions such that the Lyapunov function can be stabilized in finite time, we generate the optimal control problem to find the control function such that a given objective, which combines stabilize time and control cost, is minimized. Finally, we take the Lorenz system as a numerical example to illustrate the proposed method. ? 2021 IEEE.