A Vibration Control Method Based on Amplitude-Phase Decoupling of Continuous Periodic Signals
A periodic signal and decoupling technology, applied in vibration testing, machine/structural component testing, measuring devices, etc., can solve problems such as inability to meet high-frequency and high-precision reproduction requirements, inability to apply sinusoidal signals, etc., and achieve intuitive physical meaning. , increase the scope of application, eliminate the effect of zero offset disturbance
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Embodiment 1
[0028] When the vibrator adopts a fluid control system (hydraulic or pneumatic), the transfer function model is as follows figure 1 As shown, the system transfer function expression is:
[0029]
[0030] It can be seen that when the external load force F L When it is not zero, the output y of the system is the same as the input x v There will be a static difference between them, and this static difference will cause the system output to have a zero bias. When the system stiffness is low (such as a pneumatic system), this effect cannot be ignored, and the existing amplitude and phase control strategies can only adjust the amplitude and phase of the sinusoidal signal, and cannot adjust the zero deviation caused by the load force.
[0031] In order to eliminate the DC component error of the reference signal in principle, the present invention proposes a three-parameter amplitude-phase decoupling control method, the control idea is as follows figure 2 shown, for figure 1 T...
Embodiment 2
[0036] Carry out sinusoidal excitation to the air pressure driven vibrator, the load is 30kg, the excitation amplitude is 2mm, the frequency is 15Hz, and the DC component is 0.
[0037] Step 1: Construct the regression matrix H, the specific method is:
[0038] a: Since the excitation signal is a sinusoidal signal, there is only the fundamental frequency component, and N=1 is taken.
[0039] b: Known vibrator servo system sampling frequency f s =1000Hz, satisfy the condition
[0040] c: Construct time series T=[Δt 2Δt ... mΔt] T . Among them, Δt=0.01, satisfying the condition m=10, satisfying the condition m≥2N.
[0041] d: Generate regression matrix:
[0042] h m×N =[0 T sin(ω 0 T) cos(ω 0 T) sin(2ω 0 T) cos(2ω 0 T) … sin(Nω 0 T) cos(Nω 0 T)].
[0043] Step 2: Construct the observation matrix, X 2×m =[X s x f ].
[0044] Among them, X s =[1z -τ z-2τ … z -(m-1)τ ] T u(t),X f =[1z -τ z -2τ … z -(m-1)τ ] T y(t), τ is the delay step size, τ=Δt f...
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