Novel method of Smith self-coupling PI cooperative control theory of time delay system
A time-delay system and cooperative control technology, which is applied to controllers with specific characteristics, electric controllers, etc., can solve the problems of time-delay time sensitivity, difficulty, and difficulty in grasping, and achieve the effect of good anti-disturbance robustness.
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[0035] The specific implementation manners of the present invention will be described in detail below in conjunction with the accompanying drawings and examples.
[0036] 1. Smith predictive compensation model for time-delay systems
[0037] 1) Problem description
[0038] 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
[0039]
[0040] Among them, T is the system time constant, τ is the delay time, and K is the system gain.
[0041] The corresponding differential equation of the time-delay system (1) is
[0042]
[0043] Among them, a=1 / T, b=K / T, u is the control input, y 1 is the internal state of the time-delay system, y p is the actual output of the time-delay system.
[0044] 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 m...
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