De Souza, Wallysonn A.Teixeira, Marcelo C. M. [UNESP]Santim, Máira P. A.Cardim, Rodrigo [UNESP]Assunção, Edvaldo [UNESP]2014-05-272014-05-272013-05-27Mathematical Problems in Engineering, v. 2013.1024-123X1563-5147http://hdl.handle.net/11449/75435This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure. © 2013 Wallysonn A. de Souza et al.engFeedback controllerLinear matrix inequality (LMIs)Linear time invariant systemsMagnetic levitatorPolytopic uncertaintiesQuadratic lyapunov functionState feedback gainSwitched controlLinear matrix inequalitiesLyapunov functionsSwitching systemsTime varying control systemsControlArtigo10.1155/2013/595029WOS:000318948500001Acesso aberto2-s2.0-848779378692-s2.0-84877937869.pdf875516058014262650620873805714620000-0002-1072-3814