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Set-based state estimation and fault diagnosis of linear discrete-time descriptor systems using constrained zonotopes

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Document pages: 7 pages

Abstract: This paper presents new methods for set-valued state estimation and activefault diagnosis of linear descriptor systems. The algorithms are based onconstrained zonotopes, a generalization of zonotopes capable of describingstrongly asymmetric convex sets, while retaining the computational advantagesof zonotopes. Additionally, unlike other set representations like intervals,zonotopes, ellipsoids, paralletopes, among others, linear static constraints onthe state variables, typical of descriptor systems, can be directlyincorporated in the mathematical description of constrained zonotopes.Therefore, the proposed methods lead to more accurate results in stateestimation in comparison to existing methods based on the previous sets withoutrequiring rank assumptions on the structure of the descriptor system and with afair trade-off between accuracy and efficiency. These advantages arehighlighted in two numerical examples.

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