2021
DOI: 10.1109/lcsys.2020.3000266
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Guaranteed Performance Nonlinear Observer for Simultaneous Localization and Mapping

Abstract: A geometric nonlinear observer algorithm for Simultaneous Localization and Mapping (SLAM) developed on the Lie group of SLAMn (3) is proposed. The presented novel solution estimates the vehicle's pose (i.e. attitude and position) with respect to landmarks simultaneously positioning the reference features in the global frame. The proposed estimator on manifold is characterized by predefined measures of transient and steady-state performance. Dynamically reducing boundaries guide the error function of the system… Show more

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Cited by 23 publications
(28 citation statements)
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“…It should be noted that the control protocol designed in this paper is based on the undirected signed graphs, however, the corresponding distributed adaptive BTVF control protocol under directed signed graphs can be proposed based on the further work of this paper. Besides, the result of uniformly ultimately bounded is not strong in comparison with asymptotic stability, which may be solved by the observer-based method in [1] or the filter designed in [28]. Furthermore, there are many other improved PID control strategies that are also widely used and may be able to…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…It should be noted that the control protocol designed in this paper is based on the undirected signed graphs, however, the corresponding distributed adaptive BTVF control protocol under directed signed graphs can be proposed based on the further work of this paper. Besides, the result of uniformly ultimately bounded is not strong in comparison with asymptotic stability, which may be solved by the observer-based method in [1] or the filter designed in [28]. Furthermore, there are many other improved PID control strategies that are also widely used and may be able to…”
Section: Discussionmentioning
confidence: 99%
“…A distributed PID control strategy is designed with external disturbances in [27], but the disturbances are assumed to be fixed. A geometric nonlinear stochastic estimator algorithm with unknown constant bias and noise is proposed for Simultaneous Localization and Mapping in [28], where the pose and landmark positions are successfully estimated.…”
Section: Introductionmentioning
confidence: 99%
“…However, the work in [24] did not fully capture the true nonlinearity of the SLAM problem. To address this shortcoming, a nonlinear observer for SLAM able to handle unknown bias attached to velocity measurements has been proposed in [5], [6]. Despite significant progress, none of the above-mentioned observers incorporated a measure that would guarantee error convergence for the transient and steady-state performance.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, research work on observers recently has been applied to the UAVs for various applications. [34] used nonlinear observer for simultaneous localization and mapping, hence reducing error asymptotically. The work in [35] proposed H ∞ observers to address actuator faults and state estimation in presence of disturbances of quadrotors.…”
Section: Introductionmentioning
confidence: 99%