Interval estimation for discrete-time linear time-delay systems based on state augmentation

Li, Tuochen; Zheng, Cunxi; Ma, Youdao; Wang, Zhenhua

doi:10.1016/j.ejcon.2023.100823

Cited by 3 publications

(1 citation statement)

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“…In recent years, control theory has focused its efforts on solving problems related to system delays [1][2][3][4][5][6][7][8][9]. Time delays can originate from various sources, including but not limited to communication networks, unmodeled inertia, inherent delays induced by sensors, and communication overhead, among others.…”

Section: Introductionmentioning

confidence: 99%

Observer for Nonlinear Systems with Time-Varying Delays: Application to a Two-Degrees-of-Freedom Helicopter

Hernández-González,

Ramírez-Rasgado,

Farza

et al. 2024

Aerospace

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This paper deals with the problem of the estimation of non-uniformly nonlinear systems with time-varying delays in the state and input. In addition, the problem of the sampled output measurement is also been addressed. Thus, an observer design for a class of uncertain, non-uniformly nonlinear systems in the presence of time-varying delay is proposed. A continuous–discrete observer based on a high-gain approach is designed to achieve undelayed estimation. Thus, sufficient conditions to ensure the convergence of the observer are obtained. The analysis is based on a Lyapunov–Krasovskii functional, which shows that the bounded observation error depends on the sizes of the known upper delay and the upper sampling rate. The performance of the proposed algorithm is evaluated by considering a control-based observer for a two-degrees-of-freedom helicopter system with a known time-varying delay and sampled output measurements.

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