PID Control Using MATLAB Simulation

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PID Control Using MATLAB Simulation

• Lecturer???
• Int. phone 4375
• s8323091_at_cc.ncu.edu.tw

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Proportional-Integral-Derivative(PID) Control

• For control over steady-state and transient
  errors we can combine all three control
  strategies we have discussed is PID control.
• PID combination is sometimes able to provide an
  acceptable degree of error reduction
  simultaneously with stability and damping.

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PID by MATLAB Implement Example 1

• Consider a system with transfer function
• T10K/(?1?2)s2 (?1?2)s1AK

Change it manually
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PID by MATLAB Implement Example 2

• Consider a system with transfer function
• T(KSKi)/S3 3S2(2K)SKi

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Ziegler-Nichols Tuning of PID Regulators

• J. G. Ziegler and N. B. Nichols recognized that
  the step responses of a large number of processes
  control systems exhibits a process reaction curve
  like ltfig.1gt
• Ziegler Nichols gave two methods for tuning the
  controller
• For a decay ratio of 0.25
• Based on a stability boundary

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Fig.1
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Z.-N. Tuning of PID Regulators Method One
For a decay ratio of 0.25
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Sample of MATLAB Implement

• Consider a system with transfer function
• T2/(S2)(0.18S20.6S1)
• With L0.38R1

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10
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Z.-N. Tuning of PID Regulators Method Two
Based on a stability boundary
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Homework Assignment

• Using Z.-N. method Two to establish the PID
  regulator using the same transfer function above.
• Adjusting the P,I,D value manually to establish
  the most stable output using the same transfer
  function above. (Deadline Nov. 10th)