The strong growth rate of the aviation industry in recent years has created significant challenges terms environmental impact. Air traffic contributes to climate change through emission carbon dioxide (CO2) and other non-CO2 effects, associated impact is expected soar further. mitigation CO2 contributions net can be achieved using novel propulsion, jet fuels, continuous improvements aircraft ef...

The main contribution of this paper is a novel method for planning globally optimal trajectories dynamical systems subject to polygonal constraints. proposed hybrid trajectory approach, which combines graph search, i.e. discrete roadmap method, with convex optimization, complete path method. Contrary past approaches, have focused on using simple obstacle approximations, or sub-optimal spatial d...

Previous approaches to trajectory generation for rigid bodies have been either based on the so-called invariant screw motions or on ad hoc decompositions into rotations and translations. This paper formulates the trajectory generation problem in the framework of Lie groups and Riemannian geometry. The goal is to determine optimal curves joining given points with appropriate boundary conditions ...

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...

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...

The generation of the optimal walking trajectory is an important question for a biped robot to keep walking stably. This paper is proposed for generating the walking trajectories resulted in best performance of the biped robot using multi-objective evolutionary computation. We formulate a trajectory generation problem as a multi-objective optimal problem. We obtain all Pareto-optimal solutions ...