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Research Papers

H Control for Continuous-Time Switched Linear Systems

[+] Author and Article Information
Grace S. Deaecto

DSCE/School of Electrical and Computer Engineering, UNICAMP, CP 6101, 13083-970 Campinas, São Paulo, Brazilgrace@dsce.fee.unicamp.br

José C. Geromel1

DSCE/School of Electrical and Computer Engineering, UNICAMP, CP 6101, 13083-970 Campinas, São Paulo, Brazilgeromel@dsce.fee.unicamp.br

1

Corresponding author.

J. Dyn. Sys., Meas., Control 132(4), 041013 (Jun 24, 2010) (7 pages) doi:10.1115/1.4001711 History: Received February 09, 2009; Revised April 06, 2010; Published June 24, 2010; Online June 24, 2010

This paper deals with the output feedback H 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 H level defined by the L2 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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Copyright © 2010 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Closed loop system trajectories—state feedback

Grahic Jump Location
Figure 2

Closed loop system trajectories—output feedback

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