Abstract
In this paper, Lyapunov stability of systems with rational polynomial dynamics is investigated by using sum of squares (SOS) programming methods and polynomial Lya-punov functions. An optimization based algorithm is proposed in order to design a stabilizing controller which maximizes the region of attraction. As the decision variables are being multiplied together, and therefore, the optimization problem is bilinear, the iteration method based on bisection is used in order to gradually enlarge the region of attraction. The positive definiteness conditions are relaxed into SOS conditions. The proposed controller design and stability analysis algorithm is evaluated by simulating a bidirectional power converter feeding a constant power load (CPL).
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.