One Improvement on Zonotope Guaranteed Parameter Estimation
Wang Jian-hong,
Liu Fei-fei,
Tang Yan-yuan
Issue:
Volume 6, Issue 5, October 2017
Pages:
44-49
Received:
16 December 2017
Accepted:
27 December 2017
Published:
16 January 2018
Abstract: This paper studies the guaranteed state estimation in terms of zonotope, and does some improvements for nonlinear discrete time system with a bounded description of noise and parameters. Firstly we extend the Taylor series with respect to two variables so that the mean value extension which is used to compute an interval enclosure can be improved and extended. Secondly based on the improved mean value extension, a generalization of classical method is proposed as it considers uncertainty in the model of system. Thirdly we give one iterative process in one algorithm to obtain a bound of the exact uncertain state set. Finally the simulation example results confirm the identification theoretical results.
Abstract: This paper studies the guaranteed state estimation in terms of zonotope, and does some improvements for nonlinear discrete time system with a bounded description of noise and parameters. Firstly we extend the Taylor series with respect to two variables so that the mean value extension which is used to compute an interval enclosure can be improved a...
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