PID Control Using MATLAB Simulation

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Presentation transcript:

PID Control Using MATLAB Simulation Lecturer:黃教琪 Int. phone #:4375 s8323091@cc.ncu.edu.tw Automatic Control - Matlab lecture4

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. Automatic Control - Matlab lecture4

PID by MATLAB Implement Example 1 Consider a system with transfer function T=10K/[(1*2)s^2+ (1+2)s+1+AK] Change it manually Automatic Control - Matlab lecture4

PID by MATLAB Implement Example 2 Consider a system with transfer function T=(K*S+Ki)/[S^3+ 3*S^2+(2+K)*S+Ki] Automatic Control - Matlab lecture4

Automatic Control - Matlab lecture4

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 <fig.1> Ziegler & Nichols gave two methods for tuning the controller For a decay ratio of 0.25 Based on a stability boundary Automatic Control - Matlab lecture4

Automatic Control - Matlab lecture4 Fig.1 Automatic Control - Matlab lecture4

Z.-N. Tuning of PID Regulators Method One For a decay ratio of 0.25 Automatic Control - Matlab lecture4

Sample of MATLAB Implement Consider a system with transfer function T=2/[(S+2)*(0.18*S^2+0.6*S+1)] With L=0.38;R=1; 1 Automatic Control - Matlab lecture4

Automatic Control - Matlab lecture4 2 3 5 Automatic Control - Matlab lecture4

Automatic Control - Matlab lecture4

Z.-N. Tuning of PID Regulators Method Two Based on a stability boundary Automatic Control - Matlab lecture4

Automatic Control - Matlab lecture4 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) Automatic Control - Matlab lecture4