Sharif University of Technology Scientia Iranica 1026-3098 28 Special issue on collective behavior of nonlinear dynamical networks 2021 06 01 Global practical stabilization of discrete-time switched affine systems via switched Lyapunov functions and state-dependent switching functions 1606 1620 22005 10.24200/sci.2020.54524.3793 EN M. Hejri Department of Electrical Engineering, Sahand University of Technology, Sahand New Town, Tabriz, P.O. Box 51335-1996, Iran 0000-0002-6007-4605 Journal Article 2019 09 27 This paper addresses the problem of global practical stabilization<br />of discrete-time switched affine systems via switched Lyapunov<br />functions with the objectives of achieving less conservative<br />stability conditions and less conservative size of the ultimate<br />invariant set of attraction. The main contribution is to propose a<br />state-dependent switching controller synthesis that guarantees<br />simultaneously the invariance and global attractive properties of a<br />convergence set around a desired equilibrium point. This set is<br />constructed by the intersection of a family of ellipsoids associated<br />with each of switched quadratic Lyapunov functions. The global<br />practical stability conditions are proposed as a set of Bilinear<br />Matrix Inequalities (BMIs) for which an optimization problem is<br />established to minimize the size of the ultimate invariant set of<br />attraction. A DC-DC buck converter is considered to illustrate the<br />effectiveness of the proposed stabilization and controller synthesis<br />method. https://scientiairanica.sharif.edu/article_22005_0190fadb841d7ed83e29cca2a745bc2f.pdf