Question: please solve it with MATLAB onlyyyyy.... I don't need written solutions I want only MATLAB !!! The closed-loop responses to a step change in x1
The closed-loop responses to a step change in x1 from 0.2 to 0.4 are shown in Fig. 15.13. The set point is the nominal value, xsp=0.34. The static feedforward controllers for cases (a) and (b) are equivalent and thus produce identical responses. The comparison in part (a) of Fig. 15.13 shows that the dynamic feedforward controller is superior to the static feedforward controller, because it provides a better approximation to the ideal feedforward controller of Eq. 15-33. The PI controller in part (b) of Fig. 15.13 produces a larger maximum deviation than the dynamic feedforward controller. The combined feedforward-feedback control system of part (d) results in better performance than the PI controller, because it has a much smaller maximum deviation and IAE value. The peak in the response at approximately t=13min in Fig. 15.13b is a consequence of the x1 measurement time delay. For this example, feedforward control with dynamic compensation provides a better response to the measured x1 disturbance than does combined feedforward-feedback control. However, feedback control is essential to cope with unmeasured disturbances and modeling errors. Thus, a combined feedforward-feedback control system is preferred in practice
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