The form of α and β values is rewritten by this tool to design the transfer function at given some paramaters.

Order poles on s-domain Poles are ordered on s-domain of the transfer function inputted form of α and β. G(s) is rewritten that it solve the following equation.   G(s) = {the transfer function of inputted old α and β}×H(s) 1st order system       p= 2nd order system        p1,p2=±j     p1,p2=exp(±j )

Order zeros on s-domain The system of H(s) is setted zeros z, z1 and z2 of a given the following form. The matrix of α and β as transfer function G(s) is rewritten to add zeros. The G(s) is solved the following equation.   G(s) = {the transfer function of inputted old α and β}×H(s) If α and β was blank, G(s) = H(s). 1st order system   H(s)= s - z    z= 2nd order system   H(s)=(s - z1 )(s - z2 )     z1,z2= ± j     z1,z2=exp(±j )

Design from ζ and ω0 on a 2nd order system Poles are ordered on s-domain of the transfer function inputted form of α and β. G(s) is rewritten that it solve the following equation.   G(s) = {the transfer function of inputted old α and β}×H(s) If α and β was blank, G(s) = H(s). 2nd order system    •Natural angular frequency ω0=[rad/s] •Damping ratio ζ=

Design the coefficient of s2, s1, s0 G(s) is rewritten that it solve the following equation.   G(s) = {the transfer function of inputted old α and β}×H(s) If α and β was blank, G(s) = H(s). the transfer function   H(s)=β1s2+β2s+β3      β1=0  β1=1  β1=   β2=0  β2=2ζω0 β2=     •Use the left form to input of ω0, ζ   β3=0  β3=ω02  β3=     •Use the left form to input of ω0

Convert frequency

→

ω₀(natural angular frequency) from the transfer function of inputted α and β is converted that ω₀ is multiplied by a given ω_k.

  ω_k=    

Convert gain

G(s) transfer function of inputted α and β is multiplied by a given K.
    G(s)←KG(s)

  K=