An improvement of Gamma approximation for reduction of continuous interval systems

• Autorzy: Bokam Jagadish Kumar , Singh Vinay Pratap , Devarapalli Ramesh , García Márquez Fausto Pedro

Identyfikatory

DOI

10.24425/acs.2021.137422

• Języki publikacji: EN

Abstrakty

EN

In recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation. The denominator polynomial of reduced-order continuous interval model (ROCIM) is obtained using modified Routh table, while the numerator polynomial is derived using Gamma parameters. The distinctive features of this approach are: (i) It always generates a stable model for stable HOCIS in contrast to other recent existing techniques; (ii) It always produces interval models for interval systems in contrast to other relevant methods, and, (iii) The proposed technique can be applied to any system in opposite to some existing techniques which are applicable to second-order and third-order systems only. The accuracy and effectiveness of the proposed method are demonstrated by considering test cases of single-inputsingle-output (SISO) and multi-input-multi-output (MIMO) continuous interval systems. The robust stability analysis for ROCIM is also presented to support the effectiveness of proposed technique.

Słowa kluczowe

EN

continuous interval systems; Kharitonov polynomials; Routh approximation; modelling; SISO systems; MIMO system

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 2
• Strony: 347--373
• Opis fizyczny: Bibliogr. 41 poz., rys., tab., wzory

Twórcy

autor

Bokam Jagadish Kumar

• Department of Electrical Electronics and Communication Engineering, Gandhi Institute of Technology and Management (Deemed to be University), Visakhapatnam, 530045, Andhra Pradesh, India

autor

Singh Vinay Pratap

• Department of Electrical Engineering, Malaviya National Institute of Technology Jaipur, India

autor

Devarapalli Ramesh

• Department of Electrical Engineering, BIT Sindri, Dhanbad, Jharkhand

autor

García Márquez Fausto Pedro

• Ingenium Research Group, University of Castilla-La Mancha, Spain

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Uwagi

1. The work reported herewith has been financially by the Dirección General de Universidades, Investigación e Innovación of Castilla-La Mancha, under Research Grant ProSeaWind project (Ref.: SBPLY/ 19/180501/000102)

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).