In this article, an optimal design of the fractional order proportional integral derivative (FOPID) controller for time delay system is proposed. The proposed optimal design is the combined performance of both the cuttlefish optimizer (CFO) and Opposition-based learning (OBL) scheme called CFOBL scheme. The proposed CFOBL uses the concept of opposition based population initialization and opposition based position updating to improve its searching behavior, computational speed and convergence profile in the basic CFO. In FOPID controller, apart from the three tuning parameters (G P , G I , and G D ) there are two additional tuning parameters that are λ and μ. Here, CFOBL is used to tune the three controller parameters and also to find the optimal values of λ and μ. The uniqueness of the proposed technique is to reduce the FOPID controller's fault in the higher order time delay scheme by the aid of the controller's increase limits. The objective of the proposed technique is chosen by considering the set point parameters and the accomplished parameters from the time delay system. The proposed technique is used to avoid high-order delays and reliability constraints such as small overruns, time resolution and fixed condition defects. This technique is performed on the MATLAB/ Simulink platform and the results are compared with different existing techniques such as Ziegler-Nichols (ZN) tuning method, curve fitting (CF) technique, Wang technique, and regression technique.
K E Y W O R D Scuttlefish optimizer, FOPID controller, opposition based two-step approaches, reliability constraints, time delay system
The rocket is the only vehicle that launches the spacecraft in the space. The orientation of the spacecraft in precise position is so crucial. But, the motion of the rocket can be influenced by internal and external disturbances. Furthermore, the rocket is a multi-input and multi-output nonlinear system whose dynamics are unstable and poorly understood. Hence, attitude control of the rocket is a big challenge with real time. To make the rocket stable against the influences, this paper has examined the control technology such as proportional integral derivative control using anti-windup mechanism and linear quadratic regulator theory based on the degree of freedom mathematical model. The transient behaviour of both the controller is not smooth and takes more time to settle in the defined location. Specific to the deficiencies of PID and LQR, the proportional integral derivative controller is combined with a fuzzy logic controller to overcome the defects of PID and LQR. In conclusion, this paper compares the performance analysis of fuzzy-PID controller with linear quadratic regulator and proportional integral derivative controller. The simulation results indicate that the hybrid fuzzy-PID controller has a remarkable improvement in terms of overshoot and settling time besides reducing steady state error. The proposed hybrid fuzzy-PID controller eliminates the overshoot completely and produces enormous stability to the rocket engine.
The surname of the second author of Sumathi and Umasankar 1 was incorrectly spelled in the original published article. The surname should read "Umasankar" and not "Umashankar". This is now corrected in the online version of the article.
REFERENCE1. Sumathi R, Umasankar P. New opposition cuttlefish optimizer based two-step approach for optimal design of fractional order proportional integral derivative controller for time delay systems.
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