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(117 citation statements)

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“…One supposes that the state measurement is affected by a white noise with a standard deviation equal to 0.0001 and a sampling time equal to 0.001s. 16 Remark 4. The external perturbations, introduced in the mathematical model of the quarotor, represent the fluctuations force produced by rotors.…”

confidence: 99%

“…One supposes that the state measurement is affected by a white noise with a standard deviation equal to 0.0001 and a sampling time equal to 0.001s. 16 Remark 4. The external perturbations, introduced in the mathematical model of the quarotor, represent the fluctuations force produced by rotors.…”

confidence: 99%

“…According to Moussid et al and Mofid and Mobayen the dynamical model of a quadrotor aircraft describing the translational and the rotational motions, represented in a body‐fixed coordinate frame with the origin at the center mass, is given by $$\begin{array}{ccc}right\ddot{X}& left=({s}_{\psi}{s}_{\varphi}+{c}_{\psi}{c}_{\varphi}{s}_{\theta})\frac{{U}_{c}}{m}+{\delta}_{x},& right\\ right\u0178& left=(-{c}_{\psi}{s}_{\varphi}+{s}_{\psi}{s}_{\theta}{c}_{\varphi})\phantom{\rule{1em}{0ex}}\frac{{U}_{c}}{m}+{\delta}_{y},\\ right\ddot{Z}& left=({c}_{\varphi}{c}_{\theta})\phantom{\rule{1em}{0ex}}\frac{{U}_{c}}{m}-g+{\delta}_{z},\\ right\ddot{\varphi}& left={U}_{\varphi}{I}_{x}^{-1}-({I}_{z}-{I}_{y})\stackrel{\u0307}{\theta}\stackrel{\u0307}{\psi}{I}_{x}^{-1}+{\delta}_{\varphi},\\ right\ddot{\theta}& left={U}_{\theta}{I}_{y}^{-1}-({I}_{x}-{I}_{z})\stackrel{\u0307}{\varphi}\stackrel{\u0307}{\psi}{I}_{y}^{-1}+{\delta}_{\theta},\\ right\ddot{\psi}& left={U}_{\psi}{I}_{z}^{}\end{array}$$ …”

confidence: 99%

“…The dynamic model of a quadcopter has been reported in many related studies [56][57][58][59][60][61][62][63][64][65][66][67]. In this section, the mathematic model is briefly presented.…”

confidence: 99%

“…The algorithm can also be extended to a general class of unstructured disturbances. In [12], an adaptive SMC method based on an adaptive law to estimate the unknown parameters of UAVs for stabilizing and tracking control of the vehicles is introduced. Although the procedure of designing controllers is very obvious, it is not easy to achieve the satisfactory controller gains.…”

confidence: 99%