Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  discusses path-following control for robotics, moving a manipulator along a path in Cartesian space, making a trade-off beten tracking accuracy and the speed at which the path is follod.  present and validate a nonlinear model predictive control (NMPC) approach suitable for this nonlinear control task. This approach entails a method to model the position of the robot end-effector with respect to the path and, in addition, a reformulation of the robot prediction model in terms of an independent path parameter instead of time. This way,  obtain a convenient parameterization of path properties in the optimal control formulation and many geometric constraints, such as tracking tolerance, transform into simple linear or vector-norm constraints. Numerical simulations illustrate the benefits of this novel NMPC approach in an implementation that employs a direct multiple shooting discretization strategy and the real-time iteration scheme for fast computation of the control law.  show results of closed-loop simulations for a 6-DOF industrial robot executing a writing task, with computation times close to enabling real-time implementation.
['Niels van Duijkeren', 'Robin Verschueren', 'Goele Pipeleers', 'Moritz Diehl', 'Jan Swevers']
I am writing a research paper on a idea Path-following NMPC for serial-link robot manipulators using a path-parametric system reformulation
[{"from": "human", "value": "I am writing a research paper on a idea Path-following NMPC for serial-link robot manipulators using a path-parametric system reformulation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  discusses path-following control for robotics, moving a manipulator along a path in Cartesian space, making a trade-off beten tracking accuracy and the speed at which the path is follod.  present and validate a nonlinear model predictive control (NMPC) approach suitable for this nonlinear control task. This approach entails a method to model the position of the robot end-effector with respect to the path and, in addition, a reformulation of the robot prediction model in terms of an independent path parameter instead of time. This way,  obtain a convenient parameterization of path properties in the optimal control formulation and many geometric constraints, such as tracking tolerance, transform into simple linear or vector-norm constraints. Numerical simulations illustrate the benefits of this novel NMPC approach in an implementation that employs a direct multiple shooting discretization strategy and the real-time iteration scheme for fast computation of the control law.  show results of closed-loop simulations for a 6-DOF industrial robot executing a writing task, with computation times close to enabling real-time implementation."}]