NDLI: Robust stability and performance analysis of discrete-time piecewise affine systems with disturbances

Content Provider	IEEE Xplore Digital Library
Author	Mirzazad-Barijough, S. Ji-Woong Lee
Copyright Year	2012
Description	Author affiliation: Department of Electrical Engineering, the Pennsylvania State University, University Park, 16802, USA (Mirzazad-Barijough, S.; Ji-Woong Lee)
Abstract	For discrete-time piecewise affine systems, exponential stability and quadratic performance are analyzed in the presence of disturbances. Our approach is based on constructing a sequence of finite-state symbolic models for the piecewise affine system and analyzing the robust stability and performance of any of these symbolic models using linear matrix inequalities. The presented analysis is scalable; that is, the stability region or performance bound obtained by analyzing a symbolic model in the sequence is enlarged or improved, respectively, by analyzing the next symbolic model within the same sequence. Moreover, if the sequence turns out to be finite, then the last symbolic model in the sequence yields exact analysis of robust stability and performance.
Starting Page	4229
Ending Page	4234
File Size	317461
Page Count	6
File Format	PDF
ISBN	9781467320658
ISSN	07431546
e-ISBN	9781467320665
e-ISBN	9781467320641
DOI	10.1109/CDC.2012.6425815
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Robustness Switches Stability analysis Analytical models Partitioning algorithms Robust stability Lyapunov methods
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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