Direct methods for trajectory optimization are widely used for planning locally optimal trajectories of robotic systems. Many critical tasks, such as locomotion and manipulation, often involve impacting the ground or objects in the environment. Most state-of-the-art techniques treat the discontinuous dynamics that result from impacts as discrete modes and restrict the search for a complete path...

Direct methods for trajectory optimization are widely used for planning locally optimal trajectories of robotic systems. Many critical tasks, such as locomotion and manipulation, often involve impacting the ground or objects in the environment. Most state-of-the-art techniques treat the discontinuous dynamics that result from impacts as discrete modes and restrict the search for a complete path...

According to the requirements for tower crane welding robots, precisely planning the welding trajectory is essential. The optimal model for the least-time trajectory planning for the robot is established by Bezier curve, which has the characteristic of sub-section processing. With the consideration of constraints such as joint angular velocity and acceleration, the specific operation steps of g...

We consider the problem of generating an optimal aircraft reference trajectory in a horizontal plane, where the objective is to minimize exposure to a spatiotemporally varying scalar field. We consider a special case, where this field is timeinvariant, and we discuss optimal trajectory generation for an aircraft kinematic model based on firstand second-order necessary conditions of optimal cont...

This paper presents a general methodology for the offline planning of trajectory of a six axis serial robot along a specified path. The objective of trajectory planning is to minimise a cost function when subjected to joint angles, joint velocities, acceleration, jerks, torques and gripping force constraints by considering dynamic of the robot. A trigonometric spline is used to represent the tr...

This paper presents a novel approach to image-based visual servoing by making motion plans directly in the image plane. By skipping the step of transferring image features back to robot pose, we are able to utilize the image features for a direct and fast motion planning solution. Standard visual servoing techniques can then be applied to track the given trajectory. In this paper , we have appl...

This paper proposes a trajectory planning and tracking approach for cylindrical heat exchanger process that is considered, under some assumptions, as a bilinear system. The proposed technique is based on orthogonal functions and especially the use of operational integration and product matrices. These operational tools allow the conversion of a bilinear differential state equation into an algeb...

Motion-planning for autonomous vehicles involves a two-level planning hierarchy: a high-level task-planning algorithm and a lower-level trajectory generation algorithm. The task planner operates on a discrete structure, such as a graph, whereas the trajectory generator operates on a dynamical system with a continuous state space. The problem of ensuring “compatibility” between these two planner...

In this letter, we present a novel approach to efficiently generate collision-free optimal trajectories for multiple non-holonomic mobile robots in obstacle-rich environments. Our first employs graph-based multi-agent path planner find an initial discrete solution, and then refines solution into smooth using nonlinear optimization. We divide the robot team small groups propose prioritized traje...

Trajectory (path) planning is a well known and thoroughly studied field of automated planning. It is usually used in computer games, robotics or autonomous agent simulations. Grids are often used for regular discretization of continuous space. Many methods exist for trajectory (path) planning on grids, we address the well known A* algorithm and the state-of-the-art Theta* algorithm. Theta* algo...