Technical Briefs

Robust Stabilization and Disturbance Rejection for a Class of Hybrid Linear Systems Subject to Exponential Uncertainty

[+] Author and Article Information
Fei Long

College of Computer Science and Information Engineering, Guizhou University, Guiyang 550025, Guizhou, PR Chinafeilong73@yahoo.com

Changlin Li, Changzheng Cui

Department of Mathematics, College of Science, Guizhou University, Guiyang 550025, Guizhou, PR China

Shumin Fei

College of Automatics, Southeast University, Nanjing 210096, Jiangsu, PR China

J. Dyn. Sys., Meas., Control 131(3), 034501 (Mar 23, 2009) (7 pages) doi:10.1115/1.3072158 History: Received April 16, 2008; Accepted November 27, 2008; Published March 23, 2009

In this paper, we address the problem of robust stabilization and disturbance rejection for a class of hybrid linear systems subject to exponential uncertainties. By using Taylor series approximation and convex polytope technique, the exponentially uncertain hybrid linear system is transformed into an equivalent hybrid polytopic model subject to norm bounded uncertainty. For such equivalent hybrid linear model, we design its switching strategy and associated state feedback controllers so that such model is asymptotically stable with H disturbance attenuation based on multiple Lyapunov function technology and linear matrix inequality (LMI) approach.

Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Switching regions of system 2



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