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http://dx.doi.org/10.4134/JKMS.2011.48.4.775

DISTURBANCE ATTENUATION FOR A CLASS OF DISCRETE-TIME SWITCHED SYSTEMS WITH EXPONENTIAL UNCERTAINTY  

Li, Changlin (College of Computer Science and Information Guizhou University)
Long, Fei (Institute of Intelligent Information Processing Guizhou University)
Ren, Guohui (College of Computer Science and Information Guizhou University)
Publication Information
Journal of the Korean Mathematical Society / v.48, no.4, 2011 , pp. 775-795 More about this Journal
Abstract
The disturbance attenuation problem for a class of discretetime switched linear systems with exponential uncertainties via switched state feedback and switched dynamic output feedback is investigated, respectively. By using Taylor series approximation and convex polytope technique, exponentially uncertain discrete-time switched linear system is transformed into an equivalent switched polytopic model with additive norm bounded uncertainty. For such equivalent switched model, one designs its switching strategy and associated state feedback controllers and dynamic output feedback controllers so that whole switched model is asymptotical stabilization with H-in nity disturbance attenuation base on switched Lyapunov function and LMI approach. Finally, two numerical examples are presented to illustrate our results.
Keywords
discrete-time switched linear systems; exponential uncertainty; disturbance attenuation; state feedback; dynamic output feedback; LMIs;
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