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Enlargement of the domainof attraction of polynomial systems with design observer based controller and conversion to SOS programming
Farhad Esmaili *
Department of Electrical Engineering, Birjand Branch, Islamic Azad University, Birjand, Iran
Abstract:   (22 Views)
Estimating and expanding the domain of attraction for nonlinear systems is a challenging topic in the field of control. This paper addresses the development of the attraction domain for polynomial systems, a prevalent class of nonlinear systems. By designing a state feedback controller and an observer, the closed-loop stability of the system is achieved around the origin (system equilibrium point) in the presence of input saturation. To reach a broader attraction domain around the equilibrium point, the design problem is converted into a bilinear SOS optimization problem. Numerical examples demonstrate the performance of the designed observer-based controller in expanding the attraction domain, showing improvements over using output feedback and, in some cases, even compared to state feedback controllers.
 
Keywords: Region of Attraction, Polynomial Sysytems, sum of squares polynomials, Input saturation
     
Type of Article: Research paper | Subject: Special
Received: 2024/02/13 | Accepted: 2025/07/7 | ePublished ahead of print: 2025/11/24
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