Control method on basis of discrete incremental distribution-order PI (proportion and integration) controller

Abstract

The invention discloses a control method on the basis of a discrete incremental distribution-order PI (proportion and integration) controller. The control method includes steps of 1), analyzing a distribution-order integrator in a time domain; 2), establishing a continuous mathematical model G (s) of a controlled object and analyzing the continuous mathematical model G (s) in a frequency domain; 3), establishing a distribution-order PI controller C(s) and analyzing the distribution-order PI controller C(s) in the frequency domain; 4), acquiring a system open-loop transfer function L(s)=G(s)XC(s) according to the steps 2) and 3), and then determining parameters of the controller according to design rules of the robust distribution-order PI controller; 5), digitally implementing the discrete incremental distribution-order PI controller; 6), enabling the distribution-order PI controller to perform self-adjusting; 7), operating a genetic algorithm on the distribution-order IC controller. The control method has the advantages that merits of a fraction-order method are inherited by a distribution-order operator of the control method, and the distribution-order operator has a large amount of unique characteristics.

Description

technical field [0001] The invention relates to a control method, in particular to a control method based on a discrete incremental distributed order PI controller. Background technique [0002] Integer-order PID controllers are widely used in industrial control due to their simple control algorithm, easy parameter setting, and strong robustness. system, this is because many control systems or real physical objects are more suitable to be expressed by differential equations and integral equations of any order, and the integer order PID controller is only suitable for the minimum phase of single input and single output due to the simplicity of its control algorithm system, and cannot meet the different performance requirements of the control system at the same time. When determining the controlled system with large time-delay and uncertainty, multiple PID controllers need to be connected in series to achieve the ideal control effect. The response ability and anti-interferen...

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Problems solved by technology

[0003] However, due to the genetic characteristics of fractional-order operators, the incremental formula of existing fractional-order controllers needs to be expressed as the sum of infinite terms, and the truncation method will produce large errors in the time-frequency domain. Due to the above difficulties The achievements of fractional-order incremental controllers are still in the theoretical stage, and the theory and application of distributed-order controllers have not been reported, let alone the application in practical problems.

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