//denominator polynomial// s=poly(0,'s'); //Defines s as polynomial variable F=syslin('c',[36/((s+8)*s)]); //Creates transfer function in forward path B=syslin('c',(1+0*s)/(1+0*s)); //Creates transfer function in backward path CL=F/.B //Calculates closed-loop transfer function // compare CL with Wn^2/(s^2+2*zeta*Wn+Wn^2) y=denom(CL) //extracting the denominator of CL z=coeff(y) //extracting the coefficients of the denominator polynomial //Wn^2=z(1,1) ,comparing the coefficients Wn=sqrt(z(1,1)) // Wn=natural frequency //2*zeta*Wn=z(1,2) zeta=z(1,2)/(2*Wn) // zeta=damping factor Mr=1/(2*zeta*sqrt(1-zeta^2)) Wr=Wn*sqrt(1-zeta^2) Wc=Wn*sqrt((1-2*zeta^2)+sqrt(4*zeta^4-4*zeta^2+2)) BW=Wc //BANDWIDTH