Disturbance perception control method
A control method and technology of expected trajectory, applied in electric controllers, controllers with specific characteristics, etc., can solve the problems of sensitivity to PID gain changes, poor anti-disturbance ability, and irreconcilability, and achieve good real-time performance and anti-disturbance ability. Strong, low-computation effect
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[0010] 1. Mapping ideas from nonlinear uncertain system models to disturbance-aware models
[0011] Suppose a second-order nonlinear uncertain system model is:
[0012]
[0013] 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.
[0014] Define the unknown sum perturbation state (also called the expansion state) y 3 for:
[0015] the y 3 =f(y 1 ,y 2 ,t)+d+g(y 1 ,y 2 ,t)u-b 0 u (2)
[0016] Equation (1) can be rewritten as the following perturbation system:
[0017]
[0018] Among them, b 0 ≠0 is a nonlinear uncertain function g(y 1 ,y 2 ,t) is an estimated value (not required to be precise), and it is a constant.
[0019] Due to the perturbation state y to the sum 3 There are no restrictions, and many nonlinear uncertain sys...
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