Title: Equal-weight and rank-sum-weight-based systematic diminution of higher-order continuous systems using grey wolf optimisation

Authors: Umesh Kumar Yadav; Naresh Patnana; V.P. Meena; V.P. Singh

Addresses: Electrical Engineering Department, Malaviya National Institute of Technology, Jaipur, Rajasthan, India ' Electrical and Electronics Engineering Department, GITAM University, Visakhapatnam, AP, India ' Electrical Engineering Department, Malaviya National Institute of Technology, Jaipur, Rajasthan, India ' Electrical Engineering Department, Malaviya National Institute of Technology, Jaipur, Rajasthan, India

Abstract: The order-diminution techniques are adopted in various fields of engineering and applications to reduce the order of systems from higher-order to desired lower-order. In this research proposal, diminution of higher-order-continuous-systems (HOCSs) is done by incorporating systematic procedures for determination of weights. The errors between time-moments and Markov-parameters of HOCS and desired reduced-order-model (ROM) are utilised to frame the objective function. In the objective function, associated weights are determined using systematic procedures. The systematic procedures exploited in this work are equal-weight method and rank-sum-weight method. The minimisation of framed objective function is done by grey-wolf-optimisation algorithm. The effectiveness and superiority of proposed method is claimed with the help of tenth-order and seventh-order system by considering as test cases. The comparative analysis is done by tabulating time-domain specifications and error-indices. The responses of the HOCS and ROMs are also presented, to prove the efficacy and effectiveness of the proposed method.

Keywords: higher-order continuous systems; HOCSs; grey wolf optimisation algorithm; order-diminution; reduced-order model; ROM; systematic procedures.

DOI: 10.1504/IJMIC.2023.132102

International Journal of Modelling, Identification and Control, 2023 Vol.43 No.1, pp.64 - 79

Received: 19 Mar 2022
Received in revised form: 24 May 2022
Accepted: 30 May 2022
Published online: 11 Jul 2023 *

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