Chaos Suppression in Fractional Order Permanent Magnet Synchronous Motor and PI controlled Induction motor by Extended Back stepping Control

Nonlinear engineering: Modeling and application

article

Karthikeyan Rajagopal¹  Anitha Karthikeyan²  Prakash Duraisamy¹ 

[1] Center for Non-Linear Dynamics, Defense University;Electronics Engineering, Chennai Institute of Technology

关键词: Permanent Magnet Synchronous Motor;    Induction motor;    Fractional order systems;    Chaos suppression;    Extended back stepping control;   

DOI  :  10.1515/nleng-2016-0036

来源: De Gruyter

【 摘 要 】

In this paper we investigate the control of three-dimensional non-autonomous fractional-order model of a permanent magnet synchronous motor (PMSM) and PI controlled fractional order Induction motor via recursive extended back stepping control technique. A robust generalized weighted controllers are derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results.

【 授权许可】

Unknown