Document Type : Research Article
Authors
1 Department of Mathematics, Payame Noor University (PNU), P.O. Box. 19395-3697, Tehran, Iran
2 Professor of Systems and Control Engineering, KN Toosi University of Technology, Tehran, Iran
Abstract
In the present study, a novel methodology is developed to enlarge the Region of Attraction (ROA) at the point of equilibrium of an input-affine nonlinear control system. Enlarging the ROA for non-polynomial dynamical systems is developed by designing a nonlinear state feedback controller through the State-Dependent Riccati Equation (SDRE). Consequently, its process is defined in the form of Sum-of-Squares (SOS) optimization problem with control and non-control constraints. Of note, the proposed technique is effective in estimating the ROA for a nonlinear system functioning on polynomial or non-polynomial dynamics. In the present study, the application of the proposed scheme are shown by numerical simulations.
Keywords
- State-dependent Riccati equation
- Region of attraction
- Sum-of-squares programming
- Lyapunov function
Main Subjects
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