On optimal control problem subject to fractional order discrete time singular systems

• Autorzy: Chiranjeevi Tirumalasetty , Biswas Raj Kumar , Devarapalli Ramesh , Babu Naladi Ram , García Márquez Fausto Pedro

Identyfikatory

DOI

10.24425/acs.2021.139733

• Języki publikacji: EN

Abstrakty

EN

In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.

Słowa kluczowe

EN

fractional optimal control problem; discrete time singular system; fractional derivative; Hamiltonian technique

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 4
• Strony: 849--863
• Opis fizyczny: Bibliogr. 37 poz., rys., wzory

Twórcy

autor

Chiranjeevi Tirumalasetty

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

autor

Biswas Raj Kumar

• Department of Electrical Engineering, National Institute of Technology, Silchar, India

autor

Devarapalli Ramesh

• Department of Electrical Engineering, BIT Sindri, Dhanbad 828123, Jharkhand, India

autor

Babu Naladi Ram

• Department of Electrical Engineering, National Institute of Technology, Silchar, India

autor

García Márquez Fausto Pedro

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

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Uwagi

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