This paper deals with the output feedback control design problem for continuous-time switched linear systems. More specifically, the main goal is to design a switching rule together with a dynamic full order linear controller to satisfy a prespecified level defined by the gain from the input to the output signal. Initially, the state feedback version of this problem is solved in order to put in evidence the main difficulties we have to face toward the solution of the output feedback control design problem. The results reported in this paper are based on the so called Lyapunov–Metzler inequalities, which express a sufficient condition for switched linear systems global stability. The solution of the previously mentioned output feedback control design problem through a linear matrix inequality based method is the main contribution of the present paper. An academic example borrowed from literature is used for illustration.
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e-mail: grace@dsce.fee.unicamp.br
e-mail: geromel@dsce.fee.unicamp.br
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July 2010
Research Papers
Control for Continuous-Time Switched Linear Systems
Grace S. Deaecto,
Grace S. Deaecto
DSCE/School of Electrical and Computer Engineering,
e-mail: grace@dsce.fee.unicamp.br
UNICAMP
, CP 6101, 13083-970 Campinas, São Paulo, Brazil
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José C. Geromel
José C. Geromel
DSCE/School of Electrical and Computer Engineering,
e-mail: geromel@dsce.fee.unicamp.br
UNICAMP
, CP 6101, 13083-970 Campinas, São Paulo, Brazil
Search for other works by this author on:
Grace S. Deaecto
DSCE/School of Electrical and Computer Engineering,
UNICAMP
, CP 6101, 13083-970 Campinas, São Paulo, Brazile-mail: grace@dsce.fee.unicamp.br
José C. Geromel
DSCE/School of Electrical and Computer Engineering,
UNICAMP
, CP 6101, 13083-970 Campinas, São Paulo, Brazile-mail: geromel@dsce.fee.unicamp.br
J. Dyn. Sys., Meas., Control. Jul 2010, 132(4): 041013 (7 pages)
Published Online: June 24, 2010
Article history
Received:
February 9, 2009
Revised:
April 6, 2010
Online:
June 24, 2010
Published:
June 24, 2010
Citation
Deaecto, G. S., and Geromel, J. C. (June 24, 2010). " Control for Continuous-Time Switched Linear Systems." ASME. J. Dyn. Sys., Meas., Control. July 2010; 132(4): 041013. https://doi.org/10.1115/1.4001711
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