期刊
AUTOMATICA
卷 42, 期 3, 页码 497-502出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2005.10.013
关键词
state estimation; robust filtering; uncertain linear systems; linear matrix inequalities; set invariance
The notion of quadratic boundedness, which allows one to address the stability of a dynamic system in the presence of bounded disturbances, is applied to the design of state estimators for discrete-time linear systems with polytopic uncertainties. Necessary and sufficient stability conditions are stated and upper bounding sequences on the estimation error are derived. For the put-pose of design, such conditions can be expressed in terms of linear matrix inequalities (LMIs), thus guaranteeing the numerical tractability. Simulation results are reported to show the effectiveness of the approach. (C) 2005 Elsevier Ltd. All rights reserved.
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