1. SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System.
- Author
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Gassara, Hamdi, Kharrat, Dhouha, Ben Makhlouf, Abdellatif, Mchiri, Lassaad, and Rhaima, Mohamed
- Subjects
- *
SUM of squares , *NONLINEAR systems , *FRACTIONAL calculus , *MATHEMATICS , *MATRIX inequalities - Abstract
Fractional systems have been widely utilized in various fields, such as mathematics, physics and finance, providing a versatile framework for precise measurements and calculations involving partial quantities. This paper aims to develop a novel polynomial controller for a power system (PS) with fractional-order (FO) dynamics. It begins by studying the practical stability of a general class of tempered fractional-order (TFO) nonlinear systems, with broad applicability and potential for expanding its applications. Afterward, a polynomial controller is designed to guarantee the practical stability of the PS, encompassing the standard constant controller as a specific instance. The design conditions for this controller are resolved using the sum of squares (SOS) approach, a powerful technique for guaranteeing stability and control design. To showcase the practical value of the analytical findings, simulations of the PS are conducted utilizing SOSTOOLS. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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