ZSM-IMM and ZPRM-IMM: Two novel interacting multiple model based state estimation algorithms for stochastic switching systems under unknown but bounded noise

• Published in: ISA transactions Vol. 163; pp. 131 - 138
• Main Authors: Wang, Zi-Yun, Wang, Yue, Wang, Yan
• Format: Journal Article
• Language: English
• Published: United States Elsevier Ltd 01.08.2025
• Subjects: IMM; Linear stochastic switching system; Zonotopic [formula omitted]-radius minimization; Zonotopic segment minimization; IMM; Linear stochastic switching system; Zonotopic segment minimization; Zonotopic P-radius minimization; Zonotopic -radius minimization
• ISSN: 0019-0578; 1879-2022; 1879-2022
• DOI: 10.1016/j.isatra.2025.05.012

In this study, two novel state-estimation algorithms based on an interacting multiple model (IMM) are proposed for stochastically switched linear systems. First, a zonotopic filter is derived from segment minimization. Then, the zonotopic segment minimization based IMM algorithm is proposed, which comprises four steps: input interaction, segment minimization filtering, model probability updating, and output fusion. In addition, to avoid the upper and lower bounds of the zonotope at individual moments from wrapping around the true value, the zonotopic P-radius minimization based IMM algorithm is also studied, which creatively employs the P-radius minimization process in the zonotopic updating step and converts it into a linear matrix inequalities problem. Finally, the two proposed algorithms are verified by numerical simulation and an experimental analysis of a buck–boost circuit. •A zonotopic segment minimization algorithm is proposed.•The principles of zonotope and IMM are combined and studied.•The problem of updating the model likelihood function is effectively resolved.•The zonotopic P-radius minimization based on interacting multiple model is studied.•A computational method for the parameters of a zonotope is also given.