tailieunhanh - Vibration Control Part 15

Tham khảo tài liệu 'vibration control part 15', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Robust Active Vibration Control of Flexible Stewart Isolators 339 Fig. 4. Closed-loop system structure in robust design importance and frequency content of inputs and outputs as in Skogestad etal 2005 . The performance weighting function W1 reflects the relative significance of performance requirements over difference frequency ranges because the maximum peak of G is23 dB so the maximum of W1 should be more than 0dB to satisfy REQ1 the control weighting function W2 avoids saturation of the PZT actuator and suppresses the high and low frequency gains because the maximum force of actuators is 400N the W2 should be more than -52dB 1 400 the noise weighting function Wn is less than in low frequency 300Hz but is 1N in high frequencies 1000Hz Wn 10is the disturbance weighting function. The weighting functions are selected as follows 70s W1 -------5 ------ 1 s2 18850 W2 2 s2 62830s s Wn ----ttEt- n s 9425 The augmented plant Gaugm is given by equation 7 x Ax B1W B2u z C1x D11w D12u y C2x D21w D22u 6 7 Where z z1 z2 T w r The PZT stacks are very precision actuators but they are typically not highly linear for the nonlinear factors such as hysteresis creep and temperature effects and in low frequencies the error can be 10 -15 of the full scale in open loop. And so the output uncertainty of the PZT stack is represented by Wu as seen in equation 8 340 Vibration Control 1 2094s 106 Wz 1 __ A u 10 106 8 Where is A the complex perturbation. Controller design The H synthesis is a mixed sensitivity H suboptimal control based on DGKF method and Ị1 synthesis is based on D - K iteration in Skogestad 2005 . The following criterion is used for H synthesis w1 s S s Y W2 s T s ll Hm 9 Where S s and T s are the sensitivity function and complementary sensitivity function respectively. The D - K iteration Ị1 synthesis method is based on solving the following optimization problem for a stabilizing controller K and a .

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