A fixed-time distributed extended state observer for uncertain second-order nonlinear system

Lv, Jixing; Wang, Changhong; Kao, Yonggui; Jiang, Yushi

doi:10.1016/j.isatra.2023.02.016

Cited by 10 publications

(1 citation statement)

References 29 publications

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“…Several earlier pioneer works on distributed observers can be seen in References 4-6, where only the asymptotic convergence of the observation errors is ensured. In order to meet the requirements of time-critical scenarios (such as missile interception 7 and parts reliably grasping 8 ) and improve the system robustness, finite-time and fixed-time distributed observers [9][10][11][12][13] have been proposed to obtain faster convergence rate, where the finite-time and fixed-time refer to the finite upper bound of the settling time relevant and irrelevant to the initial conditions, respectively. However, some bottlenecks 14 still cannot be broken by finite-time/fixed-time distributed observers: (1) there exists a complex relationship between the upper bound of the settling time and observer design parameters; (2) the actual settling time heavily depends on the observer design parameters and the initial system conditions, and cannot be predefined in advance according to the task requirements.…”

Section: Introductionmentioning

confidence: 99%

Fully predefined‐time distributed observer design for second‐order strict‐feedback nonlinear systems

Lv,

Kao,

Wang

et al. 2023

Intl J Robust & Nonlinear

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Distributed observer is an effective tool to deal with leader‐following control problems. This article investigates the fully predefined‐time distributed observer (FPTDO) design problem of a generalized second‐order strict‐feedback nonlinear leader system. Firstly, given the system parameters and the upper bounds of the system nonlinearities, an FPTDO is proposed to provide the state estimates. Secondly, considering that the time‐varying system parameters and nonlinear functions of the leader system are unknown to each follower, an FPTDO is developed to estimate the time‐varying system parameters, nonlinearities and full state of the leader. The proposed FPTDOs exhibit the following advantages: (1) the observation errors converge to zero within a finite time that is predefined by only one design parameter independent of the initial conditions; (2) the designs of the FPTDOs do not require any information of the communication topology (Laplacian matrix); and (3) the exact models of the nonlinear functions are not required by each follower. Finally, simulation examples are given to demonstrate the effectiveness of the proposed FPTDOs.

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