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

Mathematical Problems in Engineering - Tập 2013 - Trang 1-10 - 2013
Wallysonn Alves de Souza1, Marcelo Carvalho Minhoto Teixeira2, Máira Peres Alves Santim3, Rodrigo Cardim2, Edvaldo Assunção2
1Department of Academic Areas of Jataí, Federal Institute of Education, Science and Technology of Goiás (IFG), Campus Jataí, 75804-020 Jataí, GO, Brazil
2Department of Electrical Engineering, UNESP, Univ Estadual Paulista, Campus de Ilha Solteira, 15385-000 Ilha Solteira, SP, Brazil
3Department of Computer, Telecommunication, Control, and Automation Engineering, Faculdade of Science and Technology of Montes Claros (FACIT), Campus II, 39400-141 Montes Claros, MG, Brazil

Tóm tắt

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.

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Mathematical Problems in Engineering

Tập 2013

1-10

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