IJPAM: Volume 101, No. 2 (2015)

DYNAMICS AND CONTROL DESIGN VIA
LQR AND SDRE METHODS FOR A MAGLEV SYSTEM

Thalles Denner Ferreira Cabral$^1$, Fábio Roberto Chavarette$^2$
$^1$UNESP - Universidade Estadual Paulista
Department of Mechanical Engineering
Brazil Avenue, 56, 15385-000, Ilha Solteira, SP, BRAZIL
$^2$UNESP - Universidade Estadual Paulista
Department of Mathematics
Brazil Avenue, 56, 15385-000, Ilha Solteira, SP, BRAZIL


Abstract. Several experimental maglev systems all around the world, mainly in Germany and Japan have demonstrated that this mode of transportation can profitably compete with air travel. However, a system such as the German maglev train (called Transrapid) is inherently unstable. This instability is because the electromagnetic suspension (EMS) uses attractive force to levitate the train. So, the electromagnets of the vehicle must be actively controlled to make safe operation. Herewith, from a simplified model for the German Transrapid experimental system, we propose two control designs and, then we compare them. The linear quadratic regulator (LQR) is used to design the linear controller and the state-dependent Riccati equation (SDRE) is used to design the nonlinear controller. The simulation shows that the SDRE controller allows the maglev train to operate with much larger disturbances in the air gap than the LQR controller does.

Received: January 19, 2015

AMS Subject Classification: 93C10

Key Words and Phrases: computer simulation, dynamics systems, mathematical model, maglev system, optimal control

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DOI: 10.12732/ijpam.v101i2.13 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 101
Issue: 2
Pages: 289 - 300


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