Optimal control based on multiple models approach of chaotic switched systems, application to a stepper motor

被引:0
作者
Miladi, Yosra [1 ]
Derbel, Nabil [1 ]
Feki, Moez [2 ,3 ]
机构
[1] Univ Sfax, Sfax Engn Sch, Energy Management Lab, CEMLab, BP 1073, Sfax 3038, Tunisia
[2] Univ Sousse, Ecole Super Sci & Technol Hammam Sousse, Res Grp LAMMDA, Sousse, Tunisia
[3] Univ Carthage, Ecole Super Commun Tunis, Res Grp Securite Numer, Tunis, Tunisia
关键词
multiple models; linear time-invariant model; optimal control; chaotic switched systems;
D O I
10.1504/ijaac.2021.113345
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we are interested in the control of chaotic switched systems with application to a stepper motor. The aim of the control is to determine the optimal sequence of switching instants in order to bring the chaotic behaviour of the system to a periodic one. The determination of the optimal sequence will follow two steps using an optimisation algorithm, the Hamiltonian system and the derivative of a performance criterion over the switching instants. The nonlinear switched system is modelled by a multiple linear time-invariant models approach to make possible to calculate the gradient of the cost function and therefore to determine the optimal instants of switches. Simulations are applied to a stepper motor to illustrate the results.
引用
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页码:240 / 258
页数:19
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