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Fast interval estimation for discrete-time linear systems: An L1 optimization method
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DOI：10.1016/j.automatica.2021.110029.png)
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Abstract
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This paper studies interval estimation for discrete-time linear systems with unknown but bounded disturbances. Inspired by the parity space approach, we propose a point estimator with fixed-time convergence property. The estimator is combined with the zonotope-based interval analysis to achieve fast interval estimation. The parameter matrix in the estimator is optimized by minimizing the length of the edges of the outer box of the error zonotope. It is formulated as L-1 optimization problem and can be efficiently solved by linear programming. Comparison studies illustrate the superiority of the proposed method over existing techniques. (C) 2021 Elsevier Ltd. All rights reserved.
Keywords:
Interval estimation
Zonotope
Fixed-time convergence
L-1 optimization
Linear programming
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