Volume 18, Issue 4 (Journal of Control, V.18, N.4 Winter 2025)
JoC 2025, 18(4): 57-65 |
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Esmaili F. Enlargement of the Domain of Attraction of Polynomial Systems via Observer-Based Controller Design and Transformation into an SOS Programming Problem. JoC 2025; 18 (4) :57-65
URL: http://joc.kntu.ac.ir/article-1-1024-en.html
URL: http://joc.kntu.ac.ir/article-1-1024-en.html
Department of Electrical Engineering, Birjand Branch, Islamic Azad University, Birjand, Iran
Abstract: (120 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
Type of Article: Research paper |
Subject:
Special
Received: 2024/08/14 | Accepted: 2025/01/5 | ePublished ahead of print: 2025/01/19 | Published: 2025/03/20
Received: 2024/08/14 | Accepted: 2025/01/5 | ePublished ahead of print: 2025/01/19 | Published: 2025/03/20
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