Volume 12, Issue 4, September 2015, Pages 864–873
Wahidul Hasan1, Sajib Chakraborty2, S.M. Salim Reza3, Khosru M. Salim4, and M.A. Razzak5
1 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
2 Department of Electrical & Electronic Engineering, University of Science & Technology Chittagong, Bangladesh
3 Faculty of Science & Technology, Bangladesh University of Professionals (BUP), Dhaka, Bangladesh
4 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
5 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In control system design it is difficult to ascertain the appropriate value of controller gain. Generally a high gain value causes an excessively oscillatory response with the possibility of instability, while a low gain value produces a slow system response. The desired optimal response is a value of gain that produces a quick system response with minimal steady state error and oscillation; this paper investigates various steps to get this system response. The main objective of this proceeding is to achieve unit step response curve of the designed system which exhibits a maximum overshoot of no more than 15%. To check the system response for reducing maximum overshoot, the system has been controlled via a PID Controller with Variable Plant Transfer Function. The proposed controller is mathematically designed and modeled with MATLAB, and the results are presented to confirm the PID controller effectiveness. Furthermore, the proposed approach is fairly simple for implementation in real time.
Author Keywords: PID controller, Overshoot, step response, transfer function, Routh's Criterion.
Wahidul Hasan1, Sajib Chakraborty2, S.M. Salim Reza3, Khosru M. Salim4, and M.A. Razzak5
1 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
2 Department of Electrical & Electronic Engineering, University of Science & Technology Chittagong, Bangladesh
3 Faculty of Science & Technology, Bangladesh University of Professionals (BUP), Dhaka, Bangladesh
4 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
5 Department of Electrical & Electronic Engineering, Independent University, Bangladesh, Dhaka, Bangladesh
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In control system design it is difficult to ascertain the appropriate value of controller gain. Generally a high gain value causes an excessively oscillatory response with the possibility of instability, while a low gain value produces a slow system response. The desired optimal response is a value of gain that produces a quick system response with minimal steady state error and oscillation; this paper investigates various steps to get this system response. The main objective of this proceeding is to achieve unit step response curve of the designed system which exhibits a maximum overshoot of no more than 15%. To check the system response for reducing maximum overshoot, the system has been controlled via a PID Controller with Variable Plant Transfer Function. The proposed controller is mathematically designed and modeled with MATLAB, and the results are presented to confirm the PID controller effectiveness. Furthermore, the proposed approach is fairly simple for implementation in real time.
Author Keywords: PID controller, Overshoot, step response, transfer function, Routh's Criterion.
How to Cite this Article
Wahidul Hasan, Sajib Chakraborty, S.M. Salim Reza, Khosru M. Salim, and M.A. Razzak, “Improvement of Systems Response of a PID Controller in Underdamped Condition,” International Journal of Innovation and Applied Studies, vol. 12, no. 4, pp. 864–873, September 2015.
