Model-free adaptive chaos control for the boost converter

Author:

Li Ning-zhou1ORCID,Jiang Yi-xiang1,Wei Xiao-juan1

Affiliation:

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

Abstract

In order to solve the dynamic analysis and chaotic motion control problems of the current-mode-controlled Boost converter system, a state equation model in the continuous current mode is established. The evolutionary path of the periodic motion of the system through the doubling bifurcation to the chaotic motion is analyzed by the bifurcation diagram, Poincaré sections and phase portraits. Then, according to the fundamental principle of the resonant parametric perturbation (RPP) method, a controller is designed based on the model-free adaptive control (MFAC) method to output the perturbation amplitude, and the disturbance quantity is calculated according to the perturbation amplitude. By adding a small amplitude disturbance to the controllable parameter of the controlled system, the chaotic motion of the system is guided to expected periodic orbit. The advantage of this method is that no precise mathematical model (PMM) of the system is required. At the same time, the design of the controller is simple and easy to implement.

Funder

Introduction of talents research launch project of Shanghai Institute of Technology

National Natural Science Foundation of China

Capacity Improvement project of Shanghai Science and Technology Commission

Shanghai Science and Technology Commission Qimingxing Program Project

Publisher

SAGE Publications

Subject

Applied Mathematics,Control and Optimization,Instrumentation

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