The sandbox

test

$(-3dBpoint)={\frac {1}{2\pi }}(R1*R2*C1*C2)^{\frac {1}{2}}$

$x[n+1]=x[n]+\gamma (u[n]-x[n])-K_{P}\sum _{j=1}^{N}({\frac {1}{N}}x_{j}[n])+K_{I}\sum _{j=1}^{N}({\frac {1}{N}}w_{j}[n])$

$w[n+1]=w[n]-K_{I}\sum _{j=1}^{N}({\frac {1}{N}}x_{j}[n])$

${\begin{bmatrix}{\dot {u}}_{x}\\{\dot {u}}_{y}\\\end{bmatrix}}={\begin{bmatrix}1&0&2(R_{x}-x_{Mx})&(R_{y}-x_{My})&0\\0&1&0&(R_{x}-x_{Mx})&2(R_{y}-x_{My})\\\end{bmatrix}}{\begin{bmatrix}k_{Mx}&0&0&0&0\\0&k_{My}&0&0&0\\0&0&k_{Mxx}&0&0\\0&0&0&k_{Myy}&0\\0&0&0&0&k_{Mxy}\\\end{bmatrix}}{\begin{bmatrix}g_{Mx}-x_{Mx}\\g_{My}-x_{My}\\g_{Mxx}-x_{Mxx}\\g_{Myy}-x_{Myy}\\g_{Mxy}-x_{Mxy}\\\end{bmatrix}}$

Spur Gears

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Rack and Pinion

Bevel Gears

Helical Gears

Worm Drives

Planetary Gears

Ball Screw

Harmonic Drive Gears

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