Non-fragile H_∞Control Research For Magnetic Levitation Permanent Magnet Linear Servo System

The paper is related to the magnetic levitation permanent magnet linear motor servocontrol system.It is supported by the National Natural Science Foundation project:“Studyon the direct magnetic levitation permanent magnet linear motor of CNC machine toolsand its servo control system(project approval number:50975181)”.Since in the magneticlevitation permanent magnet linear motor servo system there are the problems of parameterperturbation in model and the vulnerability of the controller, the non-fragile robust H∞control strategy is researched to suppress the influence of the uncertainties for performanceof magnetic levitation permanent magnet linear servo system. The paper consists of thefollowing parts:(1) For magnetic levitation permanent magnet linear servo system affected by theuncertain factors, by means of researching the structure and operation principle of themagnetic levitation permanent magnet linear motor and introducing the motor unifiedtheory which provides the linear motor space vector formula, mathematical model ofmagnetic levitation permanent magnet linear servo system state space expression withuncertainties is derived.(2) Robust non-fragile H∞control study for magnetic levitation permanent linearservo system with uncertain parameters. Based on magnetic levitation permanent magnetlinear servo system state space model with uncertain parameters, the sufficient conditionthat magnetic levitation permanent magnet linear servo system is asymptotically stable isderived by constructing a Lyapunov function. And then based on quality of linear matrixinequality, the non-fragile H∞controller which meets the H∞performance is obtained.Finally, the MATLAB is used to simulate this system which adopts non-fragile H∞controller.(3) Non-fragile H∞guaranteed cost control research for magnetic levitationpermanent magnet linear servo system. Based on the linear quadratic performance indexand magnetic levitation permanent magnet linear servo system with uncertainties, the suppression of interference of system was attributed to the design problem of non-fragilerobust H∞guaranteed cost. And then based on linear matrix inequality, expressions of thenon-fragile robust H∞guaranteed cost controller existence conditions and the feasiblesolution are given. So, the closed-loop system is regular, impulse free, stable and its linearquadratic performance index has an upper bound. Finally, in order to verify the feasibilityof this method, the software is used to simulate this system which adopts non-fragile H∞guaranteed cost controller.(4) Experimental research of magnetic levitation permanent magnet linear motorfeeding control system. Through application of digital signal processor TMS320LF2812and intelligent power module, the main circuit and control circuit of servo control systemare designed. The C language is used to write systems software. The experimental study ofmagnetic levitation permanent magnet linear servo system is carried on.