2005 International Symposium on Computational Intelligence in Robotics and Automation
DOI: 10.1109/cira.2005.1554250
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Kinematic and Dynamic Adaptive Control of a Nonholonomic Mobile Robot using a RNN

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Cited by 20 publications
(23 citation statements)
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“…By replacing H kẑk+1 byf k +Ĝ k τ k , and employing the formulations in De nitions 3.5 and 3.12 to factorize completely the resulting expression in terms of τ k , it is possible to differentiate the cost function with respect to τ k and equate to zero, in order to get the dual control law (13). The resulting second order partial derivative of J inn with respect to τ k , the Hessian matrix, is given…”
Section: Remark 33mentioning
confidence: 99%
See 1 more Smart Citation
“…By replacing H kẑk+1 byf k +Ĝ k τ k , and employing the formulations in De nitions 3.5 and 3.12 to factorize completely the resulting expression in terms of τ k , it is possible to differentiate the cost function with respect to τ k and equate to zero, in order to get the dual control law (13). The resulting second order partial derivative of J inn with respect to τ k , the Hessian matrix, is given…”
Section: Remark 33mentioning
confidence: 99%
“…Pre-trained function estimators, typically arti cial neural networks (ANNs), have been used to render nonadaptive conventional controllers more robust in the face of uncertainty [12], [13]. These techniques require preliminary open-loop plant identi cation and remain blind to parametric and/or functional variations taking place after the training phase.…”
Section: Introductionmentioning
confidence: 99%
“…If we consider that these parameters are time varying, the problem becomes more complicated. To solve this problem, we designed an adaptive neurocontrol system with two levels [19]. In the first level, a recurrent neural network (ESN K ) improves the robustness of a kinematic controller and generates desired linear and angular velocities, necessary to track a reference trajectory.…”
Section: Adaptive Motion Control With Esnsmentioning
confidence: 99%
“…First, this was carried out by Kanayama (Kanayama et al, 1990) through the using kinematic based backstepping controller. After his study, this controller has been used by other researchers (Fierro and Lewis, 1995;Oubbati, et al, 2005;Hwang, et al, 2013).…”
Section: Introductionmentioning
confidence: 99%