Iterative algorithm and curve fitting technique for tuning with time delay system PID controller

Article type: Research Article

Authors: Agnihotri, SP^* | Waghmare, Laxman Madhavrao

Affiliations: SGGS Institute of Engineering and Technology, Vishnupuri, Nanded

Correspondence: [*] Corresponding author. S.P. Agnihotri, SGGS Institute of Engineering and Technology, Vishnupuri, Nanded. Tel.: +75 88306244; [email protected]

Abstract: In this paper, hybrid technique proposed for tuning Time Delays System with proportional–integral–derivative (PID) controller. So, the performance and the robustness for a class of Time Delay System are improved. The proposed hybrid technique is the combination of the iterative algorithm and curve fitting technique. The proposed iterative algorithm is improved, performance of the feedback tuning iterative technique; so the computational complexity of the iterative algorithm reduced. By using the iterative technique, the best polynomial coefficients of curve fitting technique is determined. Using the curve fitting technique, the Time Delay System is tuned and the stability parameters of the system is maintained. The curve fitting technique is one of the non linear programming techniques which can be constructed that approximately fits the data from the extract data. The proposed hybrid technique is implemented in MATLAB working platform and the tuning performance is evaluated. Then, the system performance of the proposed hybrid technique is compared with classical PID controller, Ziegler–Nichols tuning method.

Keywords: Hybrid technique, iterative algorithm, curve fitting, PID controller, fractional order, time delay, and system

DOI: 10.3233/IFS-151632

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 4, pp. 1527-1537, 2015