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Wang, Zhenhua; Dinh, Thach Ngoc; Zhang, Qinghua; Raïssi, Tarek; Shen, Yi

Fast interval estimation for discrete-time linear systems: an \(L_1\) optimization method. (English) Zbl 1482.93356

Automatica 137, Article ID 110029, 4 p. (2022).
Summary: 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.

Cited in 9 Documents

MSC:

93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
90C05 Linear programming

Keywords:

interval estimation; zonotope; fixed-time convergence; \(L_1\) optimization; linear programming
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References:

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