2015 6th International Conference on Modeling, Simulation, and Applied Optimization (ICMSAO) 2015
DOI: 10.1109/icmsao.2015.7152248
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Designing adaptive robust extended Kalman filter based on Lyapunov-based controller for robotics manipulators

Abstract: In this paper, a position and velocity estimation method for robotic manipulators which are affected by constant bounded disturbances is considered. The tracking control problem is formulated as a disturbance rejection problem, with all the unknown parameters and dynamic uncertainties lumped into disturbance. Using adaptive robust extended Kalman filter(AREKF) the movement and velocity of each joint is predicted to use in discontinuous Lyapunov-based controller structure. The parameters of the error dynamics h… Show more

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Cited by 14 publications
(6 citation statements)
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“…In the EKF, the state or parameter variables are propagated through the non-linear plant model analytically using the first-order Taylor series approximation [43] to compute the Jacobean of the system. In general, the EKF is applied for the simulation of nonlinear systems [44] and [45].…”
Section: ) Extended Kalman Filtermentioning
confidence: 99%
“…In the EKF, the state or parameter variables are propagated through the non-linear plant model analytically using the first-order Taylor series approximation [43] to compute the Jacobean of the system. In general, the EKF is applied for the simulation of nonlinear systems [44] and [45].…”
Section: ) Extended Kalman Filtermentioning
confidence: 99%
“…Therefore, their control is essential, especially in environments with disturbances that affect their correct operation. In [56], the use of AREKF (Adaptive Robust Extended Kalman Filter), which applies Lyapunov's discontinuous control theory and the EKF, is proposed. The algorithm is used to control a 2-DoF (Degrees of Freedom) manipulator robot, particularly to predict the position and speed of each joint, obtaining a performance superior to that of the EKF alone in the trajectory-tracking task suggested in the study.…”
Section: Applications Of the Kalman Filter In The Robotics Fieldmentioning
confidence: 99%
“…SMC is, to some extent, robust to matched disturbances but loses its nominal control performance in the presence of mismatched disturbances [20], [21]. Classical robust control design methods that consider an H 2 norm-bounded condition with approaches, such as the Lyapunov-based control [22], linear matrix inequality (LMI)-based approaches [23], intelligent control [24], [25], and adaptive methods [26] are quite effective in dealing with mismatched disturbances, however, they are restrictive to this type of disturbance. However, it is obvious that not all disturbances satisfy this condition.…”
Section: Introductionmentioning
confidence: 99%