Fixed terminal time fractional optimal control problem for discrete time singular system

• Autorzy: Chiranjeevi Tirumalasetty , Devarapalli Ramesh , Babu Naladi Ram , Vakkapatla Kiran Babu , Rao R. Gowri Sankara , Garcìa Màrquez Fausto Pedro

Identyfikatory

DOI

10.24425/acs.2022.142846

• Języki publikacji: EN

Abstrakty

EN

This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various 𝛼 values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.

Słowa kluczowe

EN

fractional order differential equation; discrete time singular system; fractional derivative; linear quadratic optimal control problem

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2022
• Tom: Vol. 32, No. 3
• Strony: 489--506
• Opis fizyczny: Bibliogr. 57 poz., wykr., wzory

Twórcy

autor

Chiranjeevi Tirumalasetty

• Department of Electrical Engineering, Rajkiya Engineering College Sonbhadra, U.P., India

autor

Devarapalli Ramesh

• Department of EEE, Lendi Institute of Engineering and Technology, Vizianagaram-535005, India

• https://orcid.org/0000-0003-4246-7728

autor

Babu Naladi Ram

• Department of EEE, Aditya Engineering College, Surampalem, Andhra Pradesh, India

autor

Vakkapatla Kiran Babu

• Lingayas Institute of Management and Technology Madalavarigudem, A.P., India

autor

Rao R. Gowri Sankara

• Department of EEE, MVGR College of Engineering Vizianagaram, A.P., India

autor

Garcìa Màrquez Fausto Pedro

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

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Uwagi

1. The work reported herein was supported financially by the Ministerio de Ciencia e Innovación (Spain) and the European Regional Development Fund, under Research Grant WindSound project (Ref.: PID2021-125278OB-I00).

2. Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)