Abstract

The paper investigates the tuning of a second order compensator from the first compensators generation when used to control a highly oscillating second order process. It compares the performance characteristics of the control system comprising this compensator to control the highly oscillating second order process with those resulting from the use of five compensators from the second compensators generation. The comparison covers three time-based characteristics: maximum percentage overshoot, settling time and steady-state error. All the compensators are tuned and the analysis results help control engineers to select appropriate compensators according to the desired performance characteristic for a specific application.

Highlights

  • Automatic control is used to maintain accuracy in most industrial and domestic operations

  • Because of some of the drawbacks of the conventional compensators, the author conducted an intensive research to enhance the use of compensators to provide better performance for the control system during the period 2013-2015 as will be illustrated in the following literature review focusing on the use of feedforward compensators and how they are designed

  • The MATLAB optimization toolbox is used through its command 'fminunc' to minimize a performance index function of the error between the step time response of the process output and its steady state response [20]

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Summary

Introduction

Automatic control is used to maintain accuracy in most industrial and domestic operations. Al-Gamil and Lashin (2013) studied the tuning of a lag-lead compensator having four parameters when used to control a first order with an integrator process Their tuning technique could generate a step time response for reference input tracking of 2.438 % maximum overshoot and 0.648 s settling time [6]. Through tuning the compensator he could improve the performance of the control system achieving an 0.1 % maximum overshoot, an 0.407 s settling time and an 0.005 steady state error [8] He studied the use of a feedforward lag-lead second order compensator to control a highly oscillating second order process. He tuned the controller parameters using the ITAE error functions using the real coded genetic algorithm and compared three other methods [19]

The Controlled Process
The Process Control using a Second Order Compensator
Compensator Tuning
The Process Control using a Feedback PD Compensator
The Process Control using a Feedforward Notch Compensator
The Process Control using a Feedback First Order Compensator
Control System Performance Comparison
Findings
Conclusion
Full Text
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