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Mathematics > Dynamical Systems

arXiv:1410.5033 (math)
[Submitted on 19 Oct 2014 (v1), last revised 17 Mar 2015 (this version, v2)]

Title:Optimization-based State Estimation under Bounded Disturbances

Authors:Wuhua Hu, Lihua Xie, Keyou You
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Abstract:This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution to minimize a cost function by using all the available measurements. Then, we prove that the FIE of an incrementally input/output-to-state stable system is robustly globally asymptotically stable under a certain class of cost functions. Moreover, the implications and relationships with related results in the literature are discussed. Finally, a simple example is included to illustrate the theoretical results.
Comments: 6 pages, 1 figure, submitted for publication
Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC)
Cite as: arXiv:1410.5033 [math.DS]
  (or arXiv:1410.5033v2 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1410.5033

Submission history

From: Wuhua Hu [view email]
[v1] Sun, 19 Oct 2014 03:53:28 UTC (52 KB)
[v2] Tue, 17 Mar 2015 15:02:32 UTC (68 KB)
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