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Article

Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability

1
Electrical Engineering, National Institute of Technology Raipur, Chhattisgarh 492010, India
2
Electrical and Electronics Engineering, ABES Engineering College, Ghaziabad 201009, India
3
Electrical Engineering, Malaviya National Institute of Technology Jaipur, Rajasthan 302017, India
*
Authors to whom correspondence should be addressed.
Algorithms 2020, 13(12), 317; https://doi.org/10.3390/a13120317
Received: 18 October 2020 / Revised: 22 November 2020 / Accepted: 23 November 2020 / Published: 1 December 2020
(This article belongs to the Special Issue Metaheuristic Algorithms in Engineering Optimization Problems)
The focus of present research endeavor was to design a robust fractional-order proportional-integral-derivative (FOPID) controller with specified phase margin (PM) and gain cross over frequency (ωgc) through the reduced-order model for continuous interval systems. Currently, this investigation is two-fold: In the first part, a modified Routh approximation technique along with the matching Markov parameters (MPs) and time moments (TMs) are utilized to derive a stable reduced-order continuous interval plant (ROCIP) for a stable high-order continuous interval plant (HOCIP). Whereas in the second part, the FOPID controller is designed for ROCIP by considering PM and ωgc as the performance criteria. The FOPID controller parameters are tuned based on the frequency domain specifications using an advanced sine-cosine algorithm (SCA). SCA algorithm is used due to being simple in implementation and effective in performance. The proposed SCA-based FOPID controller is found to be robust and efficient. Thus, the designed FOPID controller is applied to HOCIP. The proposed controller design technique is elaborated by considering a single-input-single-output (SISO) test case. Validity and efficacy of the proposed technique is established based on the simulation results obtained. In addition, the designed FOPID controller retains the desired PM and ωgc when implemented on HOCIP. Further, the results proved the eminence of the proposed technique by showing that the designed controller is working effectively for ROCIP and HOCIP. View Full-Text
Keywords: fractional calculus; fractional-order PID controllers; sine-cosine algorithm (SCA); continuous interval systems; modeling; Routh approximation fractional calculus; fractional-order PID controllers; sine-cosine algorithm (SCA); continuous interval systems; modeling; Routh approximation
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MDPI and ACS Style

Bokam, J.K.; Patnana, N.; Varshney, T.; Singh, V.P. Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability. Algorithms 2020, 13, 317. https://doi.org/10.3390/a13120317

AMA Style

Bokam JK, Patnana N, Varshney T, Singh VP. Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability. Algorithms. 2020; 13(12):317. https://doi.org/10.3390/a13120317

Chicago/Turabian Style

Bokam, Jagadish K., Naresh Patnana, Tarun Varshney, and Vinay P. Singh. 2020. "Sine Cosine Algorithm Assisted FOPID Controller Design for Interval Systems Using Reduced-Order Modeling Ensuring Stability" Algorithms 13, no. 12: 317. https://doi.org/10.3390/a13120317

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