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Title: Stabilization and tracking control for a class of nonlinear systems
Authors: Rehan, M.
Hong, K.-S.
Ge, S.S. 
Keywords: Linear matrix inequality
Lipschitz nonlinearity
Nonlinear control
State feedback control
Tracking control
Issue Date: Jun-2011
Citation: Rehan, M., Hong, K.-S., Ge, S.S. (2011-06). Stabilization and tracking control for a class of nonlinear systems. Nonlinear Analysis: Real World Applications 12 (3) : 1786-1796. ScholarBank@NUS Repository.
Abstract: This paper discusses stabilization and tracking control using linear matrix inequalities for a class of systems with Lipschitz nonlinearities. A nonlinear state feedback stabilization control is proposed for systems containing a more general case of Lipschitz nonlinearity. The main objective of the present study is to provide, for multi-input multi-output nonlinear systems, a tracking control approach based on nonlinear state feedback, which guarantees global asymptotic output and state tracking with zero tracking error in the steady state. Further, the tracking control is formulated for optimal disturbance rejection, using L2 gain reduction based performance criteria. The proposed methodologies are illustrated herein using two simulation examples of chaotic and unstable dynamical systems. © 2010 Elsevier Ltd. All rights reserved.
Source Title: Nonlinear Analysis: Real World Applications
ISSN: 14681218
DOI: 10.1016/j.nonrwa.2010.11.011
Appears in Collections:Staff Publications

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