Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 131, pp. 1-10.
H-infinity control of switched linear parabolic systems
Leping Bao, Shumin Fei, Lin Chai
Abstract:
The
control problem of a class of switched linear parabolic
systems is considered. By applying the multiple Lyapunov function
method and the average dwell time scheme, sufficient conditions for
exponential stability and the
control synthesis are established
in terms of LMIs and a family of switching signals. The advantage in this
work lies in the fact that sufficient conditions completely depend on the system
parameters and the system can be analyzed by using numerical softwares.
At the end of the paper, an example is given to illustrate the obtained result.
Submitted August 16, 2013. Published June 10, 2014.
Math Subject Classifications: 34K20, 35R15, 34D10.
Key Words: Switched systems; parabolic systems; H-infinity control;
linear matrix inequalities; average dwell time.
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Leping Bao
School of Automation, Southeast University
Nanjing, Jiangsu 210096, China
email: jsll68@126.com
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Shumin Fei
School of Automation, Southeast University
Nanjing, Jiangsu 210096, China
email: smfei@seu.edu.cn
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Lin Chai
School of Automation, Southeast University
Nanjing, Jiangsu 210096, China
email: Chailin-1@163.com
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