Publication
Set-membership estimation of switched LPV systems: Application to fault/disturbance estimation
Journal Article (2024)
Journal
International Journal of Robust and Nonlinear Control
Pages
23
Doc link
https://doi.org/10.1002/rnc.7208
File
Abstract
This paper proposes a set-membership state estimation method for Switched Linear Parameter Varying (SLPV) systems subject to unknown but bounded parametric uncertainties, disturbances and noises. A zonotopic outer approximation of the state estimation domain is computed at every time iteration. The size of this zonotope is designed to be convergent and bounded by satisfying $P$-radius-based and Average Dwell Time (ADT) conditions that are formulated in the Linear Matrix Inequality (LMI) framework. An extension of the state estimation method is presented to address the fault/disturbance estimation problem for SLPV systems.
By using the state augmentation technique, the fault/disturbance estimation problem is transformed into a state estimation problem of the generated augmented descriptor switched LPV system. An application to vehicle lateral dynamics fault estimation is used for assessment purposes. Simulation results demonstrate the effectiveness of the proposed algorithm and highlight its advantages over the existing methods.
Categories
dynamic programming, nonlinear programming, observability, transport control.
Author keywords
set-membership estimation, state estimation, fault/disturbance estimation, zonotopes, switched LPV systems
Scientific reference
S. Zhang, V. Puig and S. Ifqir. Set-membership estimation of switched LPV systems: Application to fault/disturbance estimation. International Journal of Robust and Nonlinear Control: 23, 2024, to appear.
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