Sharif University of Technology Scientia Iranica 1026-3098 31 14 2024 08 01 Practical stability analysis and switching controller synthesis for discrete-time switched affine systems via linear matrix inequalities 1159 1177 22703 10.24200/sci.2022.58281.5651 EN M. Hejri Department of Electrical Engineering, Sahand University of Technology, Sahand New Town, Tabriz, P.O. Box: 51335-1996, Iran Journal Article 2021 05 08 This paper considers the practical asymptotic stabilization of a<br />desired equilibrium point in discrete-time switched affine systems.<br />The main purpose is to design a state feedback switching rule for<br />the discrete-time switched affine systems whose parameters can be<br />extracted with less computational complexities. In this regard,<br />using switched Lyapunov functions, a new set of sufficient<br />conditions based on matrix inequalities are developed to solve the<br />practical stabilization problem. For any size of the switched affine<br />system, the derived matrix inequalities contain only one bilinear<br />term as a multiplication of a positive scalar and a positive<br />definite matrix. It is shown that the practical stabilization<br />problem can be solved via a few convex optimization problems,<br />including Linear Matrix Inequalities (LMIs) through gridding of a<br />scalar variable interval between zero and one. The numerical<br />experiments on an academic example and a DC-DC buck-boost converter,<br />as well as comparative studies with the existing works, prove the<br />satisfactory operation of the proposed method in achieving better<br />performances and more tractable numerical solutions. https://scientiairanica.sharif.edu/article_22703_2a671623e15cbbb2c947656d585d37f4.pdf