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Novel Smith mutual coupling PI cooperative control theory method of time delay system

A time-delay system and cooperative control technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve the time-delay system's sensitive control performance, small stability domain margin, appropriate range, slow response speed, etc. question

Inactive Publication Date: 2020-02-28
曾喆昭
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  • Claims
  • Application Information

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Problems solved by technology

However, the stability domain margin obtained by this method has only a small appropriate range, and is very sensitive to the control performance of the time-delay system, and a small change in the stability domain (such as 0.005) may cause system instability
In addition, the response speed of this method is very slow. For the controlled object with a delay time τ=60s, it takes about 6000 seconds to enter a stable state

Method used

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  • Novel Smith mutual coupling PI cooperative control theory method of time delay system
  • Novel Smith mutual coupling PI cooperative control theory method of time delay system
  • Novel Smith mutual coupling PI cooperative control theory method of time delay system

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Embodiment Construction

[0033] The specific implementation manners of the present invention will be described in detail below in conjunction with the accompanying drawings and examples.

[0034] 1. Smith predictive compensation model for time-delay systems

[0035] 1) Problem description

[0036] In the industrial production process, the first-order plus pure lag model is often used to simulate the large time-delay process in the production process, and its transfer function can be expressed as

[0037]

[0038] Among them, T is the system time constant, τ is the delay time, and K is the system gain.

[0039] The corresponding differential equation of the time-delay system (1) is

[0040]

[0041] Among them, a=1 / T, b=K / T, u is the control input, y 1is the internal state of the time-delay system, y p is the actual output of the time-delay system.

[0042] Let the desired output be y d , according to the characteristics of the time-delay system, when t1 =y d -y p =y d has been in the ma...

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Abstract

In a large time delay process, information feedback is not timely, so that a controller based on feedback information is powerless for systems of the kind. Aiming at the control problem of a large time delay system, the invention provides a novel Smith mutual coupling PI cooperative control theory method, which is mainly characterized by and innovative in the steps of: constructing a Smith nominalpredictor according to nominal parameters of a time delay object; forming a time-delay-free inertia system by combining the Smith nominal predictor with a time-delay object; originally designing an SMCPI cooperative control force model; setting a central speed factor according to a nominal time constant and time delay; and analyzing global robust stability of an SMCPI control system. The numerical simulation results show that the control method provided by the invention can obtain good dynamic quality and steady-state performance under the condition that various model parameters have time-varying perturbation, thus the novel Smith mutual coupling PI cooperative control theory method is an effective control method and has wide application value in the field of time-delay system control.

Description

technical field [0001] The invention relates to a control method of a time-delay system, in particular to a new method of Smith Mutual Coupling PI (SmithMutual Coupling Proportional-Integral, SMCPI) cooperative control theory. Background technique [0002] Time lag widely exists in industrial processes such as petroleum, chemical industry, metallurgy, nuclear reactor, and wastewater treatment. These industrial processes can often be simplified as one or more first-order plus-purity lag systems. Due to the existence of the time lag phenomenon, the system has been in invalid output during the time lag period (assuming that the invalid output is y=0), therefore, during the time lag period, the tracking error e 1 =y d -y=y d It is always at the maximum value, and it is easy to cause large overshoot, long response time, and even oscillation or instability of the entire system due to integral saturation, which brings great challenges to the design of the time-delay system contr...

Claims

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Application Information

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IPC IPC(8): G05B13/04
CPCG05B13/04
Inventor 曾喆昭
Owner 曾喆昭
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