Enlarging the Region of Attraction for Nonlinear Systems through the Sum-of-Squares Programming

Document Type : بنیادی - نظری

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

10.30473/coam.2020.53510.1141

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

Main Subjects


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