Title :
Model-based fuzzy control system design for magnetic bearings
Author :
Kosaki, Takahiro ; Sano, Manabu ; Tanaka, Kazuo
Author_Institution :
Dept. of Comput. Sci., Hiroshima City Univ., Japan
Abstract :
This paper describes the application of a model-based fuzzy control technique to active magnetic bearing systems. The stabilization problem of the magnetic bearing systems is reduced to a two degrees-of-freedom control problem about rotational motion including interaction. We derive a multivariable fuzzy controller for this problem from the fuzzy model of rotor dynamics using the concept of parallel distributed compensation. Moreover, the stability of the designed control system is proved by means of the Lyapunov stability condition. A common Lyapunov function is found by solving an optimization problem based on linear matrix inequality conditions. The performance of the developed fuzzy controller is verified through simulation
Keywords :
Lyapunov methods; compensation; dynamics; fuzzy control; machine bearings; magnetic levitation; multivariable control systems; optimisation; robust control; rotors; Lyapunov function; active magnetic bearing systems; linear matrix inequality; model-based fuzzy control; multivariable control systems; optimization; parallel distributed compensation; rotational motion; rotor dynamics; stability; stabilization; Control systems; Electromagnets; Fuzzy control; Fuzzy systems; Lyapunov method; Magnetic levitation; Motion control; Nonlinear control systems; Sliding mode control; Stability;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.622828