PASSIVITY AND PASSIVATION OF FRACTIONAL-ORDER NONLINEAR SYSTEMS

Zhimin Han (), Yi Wang (), Quanbao Ji and Sultan Alodhaibi ()
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Zhimin Han: School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China
Yi Wang: School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P. R. China
Quanbao Ji: School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China
Sultan Alodhaibi: Department of Mathematics, College of Sciences and Arts, Qassim University, ArRass, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-10

Abstract: Although the passivity of integer-order systems has been extensively analyzed, the research outcomes on the passivity of fractional-order nonlinear systems (FONSs) are scarce. This paper presents some theoretical results on passivity and passivation of FONSs. Based on the definition of the passivity of FONSs, and by using the Lyapunov stability theory and the linear matrix inequality (LMI) method, some conditions are derived to assure the FONSs is passive, which enrich the existing theoretical knowledge about the passivity of FONSs. Moreover, an observer-based output passive control is established to ensure that the corresponding closed-loop system is passive by means of LMI technique and matrix singular value decomposition (SVD). Ultimately, the practicality of our yielded results is revealed by two numerical simulations.

Keywords: Fractional-Order Nonlinear System; Passivity; Passivation; Linear Matrix Inequality (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402423

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