TY - JOUR ID - 22018 TI - On the global practical stabilization of discrete-time switched affine systems: Application to switching power converters JO - Scientia Iranica JA - SCI LA - en SN - 1026-3098 AU - Hejri, M. AD - Department of Electrical Engineering, Sahand University of Technology, Sahand New Town, Tabriz, P.O. Box 51335-1996, Iran Y1 - 2021 PY - 2021 VL - 28 IS - Special issue on collective behavior of nonlinear dynamical networks SP - 1621 EP - 1642 KW - Discrete-time switched affine systems KW - Stabilization KW - Bilinear Matrix Inequalities (BMIs) KW - DC-DC Switching Power Converters DO - 10.24200/sci.2020.55427.4217 N2 - This paper presents new sufficient conditions as a set of BilinearMatrix Inequalities (BMIs) for the global practical stabilization ofdiscrete-time switched affine systems. The main contribution is onproposing the stability conditions based on a common quadraticLyapunov function that can be used to stabilize the discrete-timeswitched affine systems around a desired equilibrium point for whichit is not required to find any Schur stable convex combination ofoperating modes as a pre-processing stage, that needs specialalgorithms and is an NP-hard problem. The result is that theexisting two-stage stabilization methods based on a pre-calculationof a Schur stable convex combination of operating modes aresimplified to a single-stage method by which a high degree ofapplicability is obtained. The proposed stability conditions aredeveloped in a way the size of the convergence ellipsoid isminimized. Moreover, it is not required the equilibrium point,around which the invariant set of attraction is constructed, beinside a predetermined set of attainable equilibrium points. Thesatisfactory operation of the proposed stability conditions isillustrated by an academic example and application onvarious DC-DC converters. UR - https://scientiairanica.sharif.edu/article_22018.html L1 - https://scientiairanica.sharif.edu/article_22018_7727ca8365b344a54738c34bba61bf8e.pdf ER -