The inverse kinematics problems of robots are usually decomposed into several Paden–Kahan subproblems based on the product of exponential model. However, the simple combination of subproblems cannot solve all the inv...
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The inverse kinematics problems of robots are usually decomposed into several Paden–Kahan subproblems based on the product of exponential model. However, the simple combination of subproblems cannot solve all the inverse kinematics problems, and there is no common approach to solve arbitrary three-joint subproblems in an arbitrary postural relationship. The novel algebraic geometric (NAG) methods that obtain the general closed-form inverse kinematics for all types of three-joint subproblems are presented in this paper. The geometric and algebraic constraints are used as the conditions precedent to solve the inverse kinematics of three-joint subproblems. The NAG methods can be applied in the inverse kinematics of three-joint subproblems in an arbitrary postural relationship. The inverse kinematics simulations of all three-joint subproblems are implemented, and simulation results indicating that the inverse solutions are consistent with the given joint angles validate the general closed-form inverse kinematics. Huaque III minimally invasive surgical robot is used as the experimental platform for the simulation, and a master–slave tracking experiment is conducted to verify the NAG methods. The simulation result shows the inverse solutions and six sets given joint angles are consistent. Additionally, the mean and maximum of the master–slave tracking experiment for the closed-form solution are 0.1486 and 0.4777 mm, respectively, while the mean and maximum of the master–slave tracking experiment for the compensation method are 0.3188 and 0.6394 mm, respectively. The experiments results demonstrate that the closed-form solution is superior to the compensation method. The results verify the proposed general closed-form inverse kinematics based on the NAG methods.
This paper considers a regulation problem for a longitudinal dynamical model of hypersonic vehicles with strong nonlinearies. The problem is reduced to a stabilization problem by shifting the desired equilibrium posit...
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Sign language translation aims to transform continuous sign language videos into text, thereby mapping sign language actions onto natural language. Current research primarily focuses on the Transformer's encoder-d...
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Lamb waves, characterized by slow attenuation, short wavelength, and sensitivity to damage, have been widely utilized in the field of composite material damage detection. In addressing the issue of damage localization...
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This paper proposes a self-organized coverage method for unmanned aerial vehicle (UAV) swarm aimed at multi-area coverage. The proposed method attempts to take the color light emitted from the UVA as an important stat...
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This article proposes a distributed task allocation algorithm based on local information for unmanned aerial vehicle (UAV) swarm. A Part of the UAVs which are in the information exchange range participate in the local...
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This paper studied a tilt tri-rotor UAV (Unmanned Aerial Vehicle) attitude control in hover mode. Firstly, the mathematical model of the tilt tri-rotor UAV is established, in which the propeller forces and moments are...
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For virtual power plant (VPP) that includes the wind turbine generator (WTG) and gas turbine (GT), output power curve of the VPP to participate in the bidding of day-ahead electricity market is determined with the win...
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This study created a new type of inflatable metamorphic origami that has the advantage of being a highly simplified deployable system capable of realizing multiple sequential motion patterns with a monolithic actuation.
This study created a new type of inflatable metamorphic origami that has the advantage of being a highly simplified deployable system capable of realizing multiple sequential motion patterns with a monolithic actuation.
Avionics Full Duplex Switched Ethernet (AFDX) has been widely used in civil aircraft avionics systems because of its advantages of low cost, delay, high reliability, real-Time performance and strong scalability. The p...
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