Magnetically levitated permanent magnet planar motor is a new-generation motion device in modern precision industry, and the design of advanced motion controller has always been a main concern in the research and development of magnetically levitated permanent magnet planar motor. Due to the decrease in electromagnetic force caused by the deflection of the mover or the sharp decrease in magnetic flux density with height, it is very difficult to realize accurate positioning control of 3 degrees of freedom. In this article, an active disturbance rejection control scheme is adopted. The extended state observer is used to estimate the comprehensive disturbance and motion state in real time. Then, according to the value estimated by the extended state observer, the active disturbance rejection control motion controller can compensate the electromagnetic force in time to achieve good anti-jamming performance. Simulation and experimental results demonstrate that the adopted active disturbance rejection control scheme has good dynamic performance and uncertain disturbance robustness.
A new oscillation criterion is established for a certain class of second-order nonlinear differential equation x"(t)-b(t)x'(t)+c(t)g(x)=0, x"(t)+c(t)g(x)=0 that is different from most known ones. Some applications of the result obtained are also presented. Our results are sharper than some previous ones.
The author introduces the method and steps of determining key parameters of spline cold-rolling die using back-stepping design method. To verify the feasibility of the back-stepping design method in theory, the author made forming simulation and experiment with cold-rolling tooth-entwisted spline designed, analyzing the relationship between die design parameters and spline forming precision and giving correction way. Finally, the related factors influencing the forming precision of spline are introduced and the practical significance in machine-building industry of the back-stepping design method is emphasized.
The principle of human-simulated intelligent controller (HSIC) and the application in industrial control have been discussed. The improved HSIC compensates and consumes the system according to different conditions combined by error and error change rate. Because the parameter tuning of HSIC is completed in programmable logic controller, the control strategy of HSIC is simple than that of PID algorithm and the system response speed is more quickly. The author suggests that the parameters of HSIC should be optimized to decrease the complex degree of parameter tuning process and to reduce system overshoot dramatically.
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