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Delay injection-based fixed-time interval state estimation for perturbed linear systems
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DOI：10.1016/j.automatica.2026.113261.png)
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Abstract
En 中文
This paper investigates fixed-time interval state estimation (F-ISE) methods for perturbed continuous- and discrete-time linear systems. A novel delay injection-based non-smooth F-ISE structure is proposed, using computed bounds on the piecewise observation error. The existence conditions of this F-ISE structure are formulated as constrained matrix equations (MEs) that impose no additional requirements on the system matrix, fixed-time constant, or measurement noise. By solving these MEs, a parametric feasible solution for the F-ISE is obtained under a common observability condition, providing explicit design degrees of freedom for further component-wise optimization. Additionally, we present a detailed discussion on the relationship between the proposed method and the extensions of this non-smooth structure in comparison with other existing ISE methods. Finally, two comparative simulations demonstrate the advantages of the proposed approach over existing methods.
Keywords:
Interval estimation
Perturbed systems
Fixed-time convergence
Parametric method
Journal
IF:
5.9
Papers:
1.2W
Citations:
5.2W