WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 19, 2024
Full-State Observer Synthesis for a Class of One-Sided Lipschitz Nonlinear Fractional-Order Systems
Authors: ,
Abstract: A full-order observer design for a large class of fractional-order continuous-time nonlinear systems that satisfies the one-sided Lipschitz and quadratic inner boundedness conditions problem is addressed. By employing the fractional-order extension of the Lyapunov direct approach, a sufficient condition for the existence of the proposed observer is established in the form of a Nonlinear Matrix Inequality (NMI), guaranteeing the asymptotic convergence of the observation error to the origin. The effectiveness and distinct advantages of the proposed design are validated through numerical simulations on a representative fractional-order system.
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Keywords: Fractional-order observers, One-sided Lipschitz systems, Quadratic inner boundness, Riccati equation, Lyapunov direct approach extension, Nonlinear systems, Nonlinear Matrix Inequality (NMI)
Pages: 379-384
DOI: 10.37394/23203.2024.19.41