Controller Design for Large-Gap Control of Electromagnetically Levitated System by Using an Optimization Technique

• Published in: IEEE transactions on control systems technology Vol. 16; no. 3; pp. 408 - 415
• Main Authors: Banerjee, S., Kumar, T.K.S., Pal, J., Prasad, D.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.05.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Computer science; control theory; systems; Computer simulation; Control design; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Design optimization; Electrical engineering. Electrical power engineering; Electromagnetic levitation; Electromagnets; Exact sciences and technology; Ferromagnetism; Magnetic levitation; Mathematical models; model matching control; Modelling and identification; Optimization; optimization technique; Optimization techniques; Pi control; Polyimide resins; Power electronics, power supplies; Proportional control; random search method; Search methods; Stability; Studies; switched mode chopper; Weight control; model matching control; Integral proportional control; optimization technique; Nyquist diagram; Position control; Overshoot; random search method; Ferromagnetic materials; Control synthesis; Power electronics; Modeling; Steady state; Optimization; switched mode chopper; Search algorithm; Random search; Electromagnet; Model matching; Operating point; Electromagnetic levitation; Power amplifier; Non linear effect; Magnetic levitation
• ISSN: 1063-6536; 1558-0865
• DOI: 10.1109/TCST.2007.906272

In this paper, design and implementation of an optimized controller for a single magnet-based electromagnetic levitation system (EMLS) where an electromagnet of 2.6-kg mass is levitated over a large gap under a fixed ferromagnetic guide-way has been discussed. EMLS is inherently unstable and strongly nonlinear in nature. A single position controller (lead type) along with an outer proportional-integral (PI) controller has been designed that will stabilize the EMLS represented mathematically by three different plants corresponding to three different operating points. An optimization technique utilizing the random search method with interval reduction, proposed by Luus and Jaakola, has been used for designing the controller. A "model matching control" design procedure has been utilized for the design of outer PI controller. The inner controller stabilizes the three unstable plants, whereas the outer PI control action is used to modify the three position outputs as per the desired model response. The combined control action provides good stability and satisfactory performance (like fast response, less overshoot, and zero steady-state error) for the different operating zones of EMLS. Stability has been confirmed by Kharitonov-Nyquist enclosure diagrams. The simulated controllers have been successfully implemented, thus validating the modeling and controller design procedure.