Chain observer for Lipschitz non‐linear systems with long time‐varying delayed measurements

Targui, Boubekeur; Hernández-González, Omar; Astorga‐Zaragoza, C.M.; Guerrero-Sánchez, María-Eusebia

doi:10.1049/iet-cta.2017.1138

Cited by 7 publications

(2 citation statements)

References 31 publications

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“…Each element of the chain observer performs an estimation of the state over a small horizon corresponding to a fraction of the time‐varying delay. Based on the chain observer approach, an observer for Lipschitz nonlinear systems with long time‐varying delayed output measurements is explored by Targui et al [8], where a more general class of Lipschitz nonlinear systems is introduced.…”

Section: Introductionmentioning

confidence: 99%

Observer for a class of Lipschitz nonlinear systems with multiple time‐varying delays in the nonlinear measured outputs

Targui

Hernández-González

Astorga‐Zaragoza

et al. 2021

Asian Journal of Control

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This paper provides a novel chain observer for a class of Lipschitz nonlinear systems where the nonlinear measured outputs are corrupted by multiple time‐varying long delays. The main contribution is to synthesize a chain observer for a wider class of Lipschitz nonlinear systems with multiple outputs (described by Lipschitz nonlinear functions) with long time‐varying delays. In the design of the proposed observation scheme, the provided observer is comprised of a chain of state observers, where each one has a similar structure. Each observer is tasked to estimate the state over a short time horizon, whereas the first item of the chain provides the actual state estimation. Moreover, each item of the chain observer furnishes a proportional‐integral dynamical term which allows to compensate for the time‐delay effect. The observer gains are obtained from the solution of a set of delay‐dependent Linear Matrix Inequalities (LMIs), which is based on less restrictive LMI synthesis conditions. The convergence analysis relies on a Lyapunov–Krasovskii functional, which demonstrates that the observation error decays to zero. Numerical examples are given, in order to highlight the effectiveness of the provided observer.

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Section: Introductionmentioning

confidence: 99%

Observer for a class of Lipschitz nonlinear systems with multiple time‐varying delays in the nonlinear measured outputs

Targui

Hernández-González

Astorga‐Zaragoza

et al. 2021

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…On the other hand, time delays are inherent in many systems and may destabilise the controlled systems if not taken into account [7–10]. Designing observers for non‐linear systems subject to time delays, therefore, is particularly of great interests [11–14]. In order to design observers for non‐linear time‐delay systems, many existing results assume time delays to be known [15–18].…”

Section: Introductionmentioning

confidence: 99%