Set-Membership Filter for Discrete-Time Nonlinear Systems Using State-Dependent Coefficient Parameterization

• Published in: IEEE transactions on automatic control Vol. 67; no. 2; pp. 894 - 901
• Main Authors: Bhattacharjee, Diganta, Subbarao, Kamesh
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Bounding ellipsoids; Discrete time systems; Dynamical systems; Ellipsoids; Kalman filters; Noise measurement; Nonlinear dynamical systems; Nonlinear dynamics; Nonlinear systems; Norms; Parameterization; Search algorithms; set-membership filtering; state-dependent coefficient (SDC) parameterization; Symmetric matrices; Taylor series; Thermal expansion; unknown but bounded noise; Upper bound; Upper bounds

In this article, a recursive set-membership filtering algorithm for discrete-time nonlinear dynamical systems subject to unknown but bounded process and measurement noises is proposed. The nonlinear dynamics are represented in a pseudolinear form using the state-dependent coefficient (SDC) parameter...