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A Novel Delta Operator Kalman Filter Design and Convergence Analysis

Yang, Hongjiu, Xia, Yuanqing, Shi, Peng and Fu, Mengyin (2011) A Novel Delta Operator Kalman Filter Design and Convergence Analysis. IEEE Transactions on Circuits and Systems Part 1: Regular Papers, 58 (10). pp. 2458-2468. ISSN 1549-8328

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Abstract

This paper focuses on the development of a delta operator Kalman filter and its convergence analysis. The delta operator Kalman filter is designed to estimate the state vectors of a delta operator system. Note that the designed delta operator Kalman filter can express both continuous-time and discrete-time cases. Then, the convergence analysis of the delta operator Kalman filter is also investigated by using Lyapunov approach in delta domain. Furthermore, this paper gives fundamental results for the analysis and application of the delta operator Kalman filter as a state observer in an inverted pendulum model. Some experimental results of an inverted pendulum on a laboratory-scale setup are presented to illustrate the effectiveness of the designed Kalman filter and its implementation.

Item Type: Article
Uncontrolled Keywords: ResPubID24848, convergence analysis, delta operator systems, inverted pendulum model, Kalman filter, Lyapunov approach
Subjects: FOR Classification > 0802 Computation Theory and Mathematics
SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Faculty/School/Research Centre/Department > School of Engineering and Science
Depositing User: VUIR
Date Deposited: 07 Mar 2013 04:26
Last Modified: 15 Dec 2014 22:48
URI: http://vuir.vu.edu.au/id/eprint/10350
DOI: https://doi.org/10.1109/TCSI.2011.2131330
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Citations in Scopus: 53 - View on Scopus

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