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

A discrete increment and control method technology, applied in the field of control, can solve problems such as dwell, time-frequency domain error, and application impossible

Active Publication Date: 2013-09-18
SHANDONG UNIV
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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

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

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[0072] The present invention will be further described below in conjunction with the accompanying drawings and examples. It should be noted that the following descriptions are only for explaining the present invention and not limiting its content.

[0073] The idea of ​​distribution order operator was first proposed by Michele Caputo in 1969. Therefore, Michele et al. proposed the distribution-order equation related to the medium diffusion constitutive equation and the distribution-order filter. The current literature on distributed-order operators introduces in detail the existence domain of orders, distributed-order dynamics, and methods for solving some special distributed-order equations, and summarizes variable-order and distributed-order operator theories, distributed-order viscoelastic materials, diffusion , complex systems, system identification, and many other application developments in distributed-order physics. In addition, some papers have carried out basic analy...

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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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Application Information

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IPC IPC(8): G05B13/04
Inventor 李岩周风余田国会赵阳陈阳泉
Owner SHANDONG UNIV
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