Title: Design of a nonlinear controller using feedback linearisation based on backstepping technique for magnetic levitation system

Authors: Bhawna Tandon; Shiv Narayan; Jagdish Kumar

Addresses: ECE Department, Chandigarh Engineering College, Ladran, Mohali, India ' Electrical Engineering Department, PEC University, Sec-12, Chandigarh, India ' Electrical Engineering Department, PEC University, Sec-12, Chandigarh, India

Abstract: This study proposes a feedback linearisation based on the back-stepping method to design a nonlinear controller with a goal of improving both steady state and transient stability of a magnetic levitation system. The feedback linearisation based on back-stepping technique is the combination of the two techniques mentioned i.e. feedback linearisation and backstepping. It uses backstepping design process, designs a sequence of 'virtual' systems of relative degree one, reduces the relative degree by one by choosing a 'virtual' input, achieves passivity with respect to a 'virtual output', and the last 'virtual output' is used to close feedback loop. Unlike the direct feedback linearisation method, the proposed method does not require a linear controller. Moreover, there is no need to know the exact nonlinear model of the system. Back stepping process of the controller guarantees its robustness against disturbances and uncertainties.

Keywords: backstepping technique; feedback linearisation; nonlinear control; magnetic levitation system; MLS.

DOI: 10.1504/IJANS.2016.085802

International Journal of Applied Nonlinear Science, 2016 Vol.2 No.4, pp.247 - 257

Accepted: 08 Aug 2016
Published online: 14 Aug 2017 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article