Contents

• 1 Program 5.3 Ogata 4edition, second-order system
  Let us enter the value of undamped natural frecuecy 5 rad/seg and damping ratio 0.4 by Scilab
  
  
• 2 Program 5.4 Ogata 4edition (response to unit-step input)
  

  Let us draw the response to unit-step input by Scilab (csim, step)

  
  
  
• 3 Program 5.5 Ogata 4edition (response to step input, damping ratio)
  

  Let us draw the response to unit-step input with the following damping ratios 0, 0.2, 0.4, 0.6, 0.8, 1.0 . by Scilab.(csim, syslin, legends, step)

  
  
  
• 4 Program 5.6 Ogata 4edition (rise time, peak time, maximum overshoot, settling time)
  Let us calculate the rise time, peak time, maximum overshoot and settling time by Scilab.(csim, syslin)
  
  
• 5 Programa 5.8 Ogata 4edition (response to unit-impulse input)
  

  Let us draw the response to unit-impulse input by Scilab(syslin, csim, xgrid, impulse)

  
  
  
• 6 Program 5.9 Ogata 4edition (response to unit-step input)
  

  Let us draw the response to unit-step input by Scilab(syslin, csim, xgrid, impulse), getting the same answer the the program 5.8.

  
  
  
• 7 Program 5.10 Ogata 4edition (response to unit-ramp input)
  

  Let us draw the response to unit-ramp input by Scilab (syslin, csim, xgrid, step).

  
  
  
• 8 Program 5.12 Ogata 4edition (response to unit-ramp input)
  

  Let us draw the response to unit-ramp input by Scilab.(syslin, csim, xgrid)

  
  
  
• 9 Program 5.14 Ogata 4edition (response to unit-step input)
  

  Let us draw the response to unit-step of Example' 5.9 solution by Scilab (syslin, csim, xgrid, step)

  
  
  
• 10 Program 5.18 Ogata 4edition (Response to mechanical vibratory system)
  

  Let us draw the solution of Example, response to mechanical vibratory system by Scilab (csim, syslin, legend)

  
  
  
• 11 Example 5.13 Ogata 4edition (Routh's stability criterion)
  Let us calculate Routh by Scilab(routh_t)
  
  
• 12 Problema A.5.8 Ogata 4edition (Equation)
  Solve a equation
  
  
• 13 Problem A.5.9 Ogata 4edition (partial-fraction expansion)
  

  Lets do the partial-fraction expansion by Scilab (tf2ss, pfss, clean ) of the system

  
  
  
• 14 Problem A.5.10 Ogata 4edition (partial-fraction expansion)
  

  Lets do the partial-fraction expansion by Scilab (tf2ss, pfss, clean )

  
  
  
• 15 Problem A.5.11 Ogata 4edition (response to unit-step and unit-ramp)
  

  Let's plot the system's response to unit-step and unit-ramp input by Scilab (csim, step, syslin, subplot)

  
  
  
• 16 Problem A.5.12 Ogata 4edition (response to unit-step,rise time, peak time, maximum overshoot and settling time)
  

  Let's plot the system's response to unit-step and calculate rise time, peak time, maximum overshoot and settling time by Scilab (csim, step).

  
  
  
• 17 Problem A.5.13 Ogata 4edition (response unit-step, damping ratio, undamped natural frecuency)
  

  Let's plot the response to unit-step input for several values of damping ratio 0.3,0.5,0.7,0.8 and undamped natural frecuency 1,2,4,6 by Scilab (csim, step)

  
  
  
• 18 Problem A.5.14 Ogata 4edition (response to unit-ramp)
  

  Let's plot the response to unit-ramp input and a function by Scilab.(csim)

  
  
  
• 19 Problem A.5.15 Ogata 4edition (Response to function)
  

  Let's plot the response to input 2+t by Scilab(csim, legends)

  
  
  
• 20 Problem A.5.16 Ogata 4edition (Response to function)
  

  Let's plot the response of close-loop system to input 0.5* t^2.

  
  
  
• 21 Problem A.5.23 Ogata 4edicion (offset)
  We will demonstrate that the system suffers offset to unit-step input
  
  
• 22 Problem A.5.24 Ogata 4edicion (steady-state error)
  

  We calculate steady-state error of a system. Correction method

  
  
  
• 23 Problem A.5.25 Ogata 4edition (steady-state error, torque disturbances)
  Let's see the system's error with torque disturbances