TUNING OF PID CONTROLLER TECHNIQUE USING ARCHIMEDES OPTIMIZATION ALGORITHM

DESIGN DETALS
PID Controller (Proportional Integral Derivative) was invented since 1910, but till today still is used in industries, even though there are many kinds of modern controllers like fuzz controller and neural network controller are being developed. Performance of PID controller is dependent on Proportional Gain (Kp), Integral Gain (Ki) and Derivative Gain (Kd). These gains can be got by using method Ziegler-Nichols (ZN), gain-phase margin, Root Locus, Minimum Variance dan Gain Scheduling however these methods are not optimal to control systems that nonlinear and have high-order, in addition, some methods relative hard. This Matlab design is based on a PID tuning method using AOA to get optimal Kp, Ki and Kd.
The PID controller transfer function that is given as:
C(s)=K_p+K_i/s+K_d s
Four indices to depict the system performance: ISE, IAE, ITAE and ITSE. They are defined as follows,
ISE=∫_0^∞▒〖e^2 (t)dt〗, IAE=∫_0^∞▒|e(t)|dt,ITAE=∫_0^∞▒t|e(t)|dt,ITSE=∫_0^∞▒〖te^2 (t)dt〗
Therefore, for the AOA-based PID tuning, these performance indexes above equation will be used as the objective function. Using Matlab, the performance of the design is evaluated.
REFERENCES
Reference Paper-1: Tuning of PID Controller Using Particle Swarm Optimization (PSO)
Author’s Name: Mahmud Iwan Solihin, Lee Fook Tack and Moey Leap Kean
Source: IJASEIT
Year: 2011
Reference Paper-2: Archimedes optimization algorithm: a new metaheuristic algorithm for solving optimization problems.
Author’s Name: Fatma A. Hashim, Kashif Hussain, Essam H. Houssein, Mai S. Mabrouk, Walid Al-Atabany
Source: Springer
Year: 2020
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