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7 Example 8-24 OGATA 4ed(Bode plot, resonant peak magnitude, resonant peak frequency, bandwidth)



    Let's calculate Bode plot, resonant peak magnitude, resonant peak frequency, bandwidth by Scilab


    \begin{displaymath}G(s)=\frac{1}{s\cdot (5\cdot s+1)\cdot (s+1)}\end{displaymath}


    Scilab program
    s=%s/(%pi*2);
    g=1/(s*(0.5*s+1)*(s+1));
    gc=g/. 1;
    gcs=syslin('c',gc);
    clf;
    bode(gcs);
    w=logspace(-2,3,100);
    gsf=tf2ss(gcs);
    [frq1,rep] =repfreq(gsf,w);
    [db,phi]=dbphi(rep);
    [mdb,k]=max(db);
    resonantf=w(k)
    resonantpeak=mdb
    n=1;
    while db(n)>-3,
    n=n+1;
    end;
    bandwidth=w(n)
    
    Solutions:
     -->resonantf=w(k)
     resonantf  =
     
        0.8302176  
    -->resonantpeak=mdb
     resonantpeak  =
     
        5.2696204  
    
        
    -->bandwidth=w(n)
     bandwidth  =
     
        1.3219411
    

     

    Image Ejemplo8-24Pag574