2020
DOI: 10.1109/access.2020.2994004
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Stabilization of Robots With a Regulator Containing the Sigmoid Mapping

Abstract: Actuators nonlinearities are unknown external perturbations in robots, which are unwanted because they can severely limit their performance. This research is focused on the stabilization of robots subject to actuators nonlinearities with a regulator containing the sigmoid mapping. Our regulator has the following three main characteristics: a) a sigmoid mapping is used to ensure boundedness of the regulator law terms, b) the chattering is reduced by the usage of the saturation mapping instead of the signum mapp… Show more

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Cited by 47 publications
(20 citation statements)
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“…It is shown as Equation 5, where LC denotes the linear controller to be designed. υ = (LC)e (5) In this paper, we consider that H(x) = x in Equation 2, and it should be noted that x 0 herein. Then Equation (4) can be rewritten as…”
Section: Ndi Indi and Findimentioning
confidence: 99%
See 1 more Smart Citation
“…It is shown as Equation 5, where LC denotes the linear controller to be designed. υ = (LC)e (5) In this paper, we consider that H(x) = x in Equation 2, and it should be noted that x 0 herein. Then Equation (4) can be rewritten as…”
Section: Ndi Indi and Findimentioning
confidence: 99%
“…Several nonlinear control approaches have been proposed to overcome the shortcomings of traditional linearization approaches [4][5][6][7][8][9][10]; one popular approach is nonlinear dynamic inversion (NDI) control. NDI control eliminates the nonlinearities in the aircraft system by state feedback, then the nonlinear model is transformed into a linear one controlled by a virtual linear input.…”
Section: Introductionmentioning
confidence: 99%
“…e proposed approach has some advantages over state-of-the-art methods, including the following: (1) it considers the available information of all components in the design procedure compared to [21][22][23]. erefore, the overall closed-loop stability is guaranteed theoretically through the Lyapunov stability theory [24][25][26][27][28][29]. (2) e design procedure of the proposed controller is simple and systematic compared to the other method [30,31].…”
Section: Introductionmentioning
confidence: 99%
“…The advancements in kinematics and control [9][10][11][12][13][14][15][16][17][18][19] have led towards safer robot behaviors, enabling the development of multiple robotic solutions for the rehabilitation of the upper limbs [20][21][22][23][24][25][26], some of them being developed until the stage of clinical trials.…”
Section: Introductionmentioning
confidence: 99%