Parameter Tuning Method of Fractional Order piλ Controller Based on Vector Method

Abstract

The invention relates to a vector method-based method for setting the parameter of a fractional order PI lambda controller and belongs to the technical field of frictional order automatic control. The method comprises the steps of writing a controlled object into a controlled object vector mode by combining the mathematical model transfer function of a given controlled object system, writing a performance index vector mode, utilizing a correcting vector L to correct the controlled object vector P to achieve the performance index vector G, and solving the transfer function of the controller, wherein the correcting vector and a controller vector form a triangle in a complex plane. The vector method-based method for setting the parameter of the fractional order PI lambda controller has the advantages that the calculation amount is reduced, and the setting process is simple and easy to understand. When the controlled object is changed, people can mechanically apply the subsequent formula by only computing the module value, the phase angle and the angle speed of the controlled object, so the process of repeated equation derivation is reduced, and the multi-solution problem existing in the matlab (matrix laboratory) solving is solved.

Description

technical field [0001] The invention belongs to the technical field of fractional order automatic control, and mainly relates to a PI λ Parameter tuning method for structured fractional order controllers. Background technique [0002] The servo system occupies a very important position in the field of automatic control. It is a feedback control system whose controlled quantities are displacement, speed, and acceleration, and can accurately follow a certain control process. In addition, the working environment of some servo systems is complex, and the system has relatively large uncertainties and hysteresis, as well as changes in inertial loads during the work process, which are typical nonlinear systems. At present, the controllers used in servo systems based on automatic control technology are mostly traditional PID controllers, fuzzy adaptive controllers, and neural network controllers. The control method of the traditional PID controller is too simple, and the control p...

AI Technical Summary

Problems solved by technology

[0003] Also because fractional PI λ The controller has an additional adjustable parameter λ, so that the fractional order PI λ The controller parameter tuning process is complex and requires a large amount of computation

For different controlled objects, parameter tuning equations need to be re-derived and calculated, making controller design cumbersome and time-consuming

Moreover, the controller parameters are solved by matlab, and generally there are multiple solutions, and it is necessary to find a solution that meets the requirements, which brings a lot of inconvenience to the simulation and experiment.

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