Extended set membership filtering method for process with bounded-mismatch parameters
SONG Sha-sha
ZHAO Zhong-gai
LIU Fei
Abstract：Given a nonlinear model with mismatch parameters, it is difficult to obtain an accurate state estimation via the general filtering methods. In this paper, based on the extended set membership estimation method, a novel state estimation method is proposed for the processes with bounded-mismatch parameters by introducing the uncertainty information of parameter. In the proposed method, the deviation scope caused by the parameter mismatch is calculated by the interval operation and interval expansion functions, then it is enclosed by a ellipsoid set. In the prediction step of state estimation, the prediction ellipsoid is obtained by the summation of the parameter deviation ellipsoid set and the interval of the priori ellipsoid; In the update step, by using the observation ellipsoid set to update the priori ellipsoid, the posterior ellipsoid set and then the state estimate are derived. The applications in a numerical example and a fermenter process show the effectiveness of the proposed method.
Keywords：bounded-mismatch parametersstate estimationextended set membership filterinterval arithmetic
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 648-654 )