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SOS Approach for Practical Stabilization of Tempered Fractional-Order Power System.
- Source :
- Mathematics (2227-7390); Jul2023, Vol. 11 Issue 13, p3024, 10p
- Publication Year :
- 2023
-
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]
- Subjects :
- SUM of squares
NONLINEAR systems
FRACTIONAL calculus
MATHEMATICS
MATRIX inequalities
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 13
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 164918884
- Full Text :
- https://doi.org/10.3390/math11133024