Two-parameter cooperative intelligent optimal control of chaotic motion for a vibro-impact system with soft constraint

Author:

WEI Xiao-juan1ORCID,ZHOU Fangwei1,LI Ning-zhou1,LI Deyang2,DING Wang-cai3

Affiliation:

1. School of Railway Transportation, Shanghai Institute of Technology, China

2. School of Material Science and Engineering, Lanzhou Jiaotong University, China

3. School of Mechatronic Engineering, Lanzhou Jiaotong University, China

Abstract

For the chaotic motion control of a single-degree-of-freedom vibro-impact system with soft constraint, two-parameter cooperative intelligent optimal control method based on LRS-QPSO (i.e., Local Rotational Search Quantum Particle Swarm Optimization) algorithm optimization SVM (i.e., Support Vector Machines) was proposed. Firstly, in the parameter plane ( ω,ζ), the motion distribution of the system and the change of the maximum Lyapunov exponent is obtained by numerical simulation, and the correlation between parameters change and the transition from chaotic motion to periodic motion is analyzed. Secondly, by introducing ω and ζ into the construction of the input variables of the SVM controller, a chaotic motion two-parameter cooperative intelligent optimal control strategy is proposed to meet the requirements of expected control objectives. Therefore, by the virtue of nonlinear mapping characteristics of SVM, the combined effects of ω and ζ on the dynamic state transition of the system can be reflected in the output variables of the controller. Finally, with single parameter ω and single parameter ζ as the research object, the bifurcation diagram, Lyapunov exponential spectrum, and controlled periodic motion orbit diagram are analyzed, and the advantages of two-parameter cooperative intelligent optimal control are compared and analyzed.

Funder

Introduction of talents research launch project of Shanghai Institute of Technology

Interdisciplinary graduate team project of Shanghai Institute of Technology

Natural Science Foundation of Gansu Province

Youth Science and Technology Fund program of Gansu Province

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

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