On Switched Control Design of Linear Time-Invariant Systems with Polytopic Uncertainties

Wallysonn A. de Souza, Marcelo C. M. Teixeira, Máira P. A. Santim, Rodrigo Cardim and Edvaldo Assunção

Mathematical Problems in Engineering, 2013, vol. 2013, 1-10

Abstract:

This 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:595029

DOI: 10.1155/2013/595029

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