A three-speed intelligent pid control method
A control method and intelligent technology, applied in the direction of electric controllers, controllers with specific characteristics, etc., can solve the problems of irrationality of PID control law model, poor anti-disturbance ability, accurate understanding of mathematical models, etc., and achieve good anti-disturbance Robust performance, strong anti-disturbance ability, and high control precision
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[0024] 1. Mapping ideas from nonlinear uncertain systems to linear uncertain systems
[0025] Suppose a second-order nonlinear uncertain system model is:
[0026]
[0027] Among them, y 1 ,y 2 ∈R is the two states of the system, u∈R is the control input of the system; f(y 1 ,y 2 ,t) and g(y 1 ,y 2 ,t) is an uncertain smooth function of the system, and g(y 1 ,y 2 ,t) is a non-negative function; d is the external disturbance; y is the system output.
[0028] Define the unknown sum perturbation state (also called the expansion state) y 3 for:
[0029] the y 3 =f(y 1 ,y 2 ,t)+d+g(y 1 ,y 2 ,t)u-b 0 u (2)
[0030] Then formula (1) is mapped to the following linear uncertain system:
[0031]
[0032] Among them, b 0 ≠0 is determined by the nonlinear uncertain function g(y 1 ,y 2 ,t) Determined control coefficient.
[0033] Since system (3) is an equivalent map of system (1), the effective controller designed by system (3) can exert effective control on syst...
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