In the paper we present a solution to the optimal trajectory planning problem subject to constraints given by joint torques and velocities, and the task. The main result is a trajectory planning algorithm which enables the calculation of the optimal motion due to the given requirements and taking into account the dynamics of the manipulator. First, the dynamic model of the manipulator in the pa...

Motion planning of walking machines normally contains two aspects: gait planning and body trajectory planning. When generating an optimal body trajectory on natural terrain, the leg movement must be taken into account. Due to the large searching space resulting from the combination of leg movement and terrain conditions, it is quite time consuming to produce an optimal result of body trajectory...

we design a two-stage scheme to consider trajectory planning problem of two mobile manipulators for cooperative transportation of a rigid body in presence of static obstacles. within the first stage, regarding the static obstacles we develop a method that searches the workspace for the shortest possible path between start and goal configurations by constructing a graph on a portion of the confi...

In order to better study the trajectory of robot motion, a motion trajectory planning and simulation based on 6-DOF manipulator arm robot is designed. Three and five polynomial methods are adopted to plan motion trajectories. The advantages and disadvantages of the three and five polynomial trajectory planning are summarized. The trajectory planning in the right angle space can make the robot a...

Trajectory planning is an essential part of systems controlling autonomous entities such as vehicles or robots. It requires not only finding spatial curves but also that dynamic properties of the vehicles (such as speed limits for certain maneuvers) must be followed. In this paper, we present an approach for augmenting existing path planning methods to support basic dynamic constraints, concret...

Path planning for autonomous vehicles in arbitrary environments requires a guarantee of safety, but this can be impractical to ensure in real-time when the vehicle is described with a high-fidelity model. To address this problem, this paper develops a method to perform trajectory design by considering a low-fidelity model that accounts for model mismatch. The presented method begins by computin...

Hybrid mechanical press is an innovative sheet metal stamping press that has the advantages of both mechanical press and the hydraulic press. This paper focuses on the control of the hybrid mechanical press, including trajectory planning, trajectory optimization and real time feedback control. The trajectory planning is based on inverse kinematics and cubic spline interpolation. The trajectory ...

In this paper we describe how robot trajectory planning can be formulated as a semi-infinite programming (SIP) problem. The formulation as a SIP problem allowed us to treat the problem with one of the three main classes of methods for solving SIP, the discretization class. Two of the robotics trajectory planning problems formulated were coded in the SIPAMPL [1] environment which is publicly ava...

We present a novel optimization-based motion planning algorithm for high degree-offreedom (DOF) robots in dynamic environments. Our approach decomposes the highdimensional motion planning problem into a sequence of low-dimensional sub-problems. We compute collision-free and smooth paths using optimization-based planning and trajectory perturbation for each sub-problem. The overall algorithm doe...