Search results for "Trajectory planning"
showing 3 items of 3 documents
Optimal Control Under Fuzzy Conditions for Dynamical Systems Associated with the Second Order Linear Differential Equations
2020
This paper is devoted to an optimal trajectory planning problem with uncertainty in location conditions considered as a problem of constrained optimal control for dynamical systems. Fuzzy numbers are used to incorporate uncertainty of constraints into the classical setting of the problem under consideration. The proposed approach applied to dynamical systems associated with the second order linear differential equations allows to find an optimal control law at each \(\alpha \)-level using spline-based methods developed in the framework of the theory of splines in convex sets. The solution technique is illustrated by numerical examples.
Optimization model predictions for postural coordination modes
2003
International audience; This paper examines the ability of the dynamic optimization model to predict changes between in-phase and anti-phase postural modes of coordination and to evaluate influence of two particular environmental and intentional constraints on postural strategy. The task studied was based on an experimental paradigm that consisted in tracking a target motion with the head. An original optimal procedure was developed for cyclic problems to calculate hip and ankle angular trajectories during postural sway with a minimum torque change criterion. Optimization results give a good description of the sudden bifurcation phase between in-phase and anti-phase postural coordination mo…
Synergic algorithms for the planning and the intelligent following of a trajectory for non-holonomic vehicles
2008
Although there are many studies about two wheels non-holonomic vehicles, in order to simplify the problem the planning and the following of trajectories or paths are generally considered two different phases. In this paper, two algorithms for the synergic working of trajectory planning with intelligent trajectory following are presented. The "trajectory shape" characteristics obtained in the planning phase are used for the efficient trajectory following. From the shape, in order to follow the trajectory, an intelligent controller calculates, without further elaboration, the reference wheels velocity of the vehicle. The knowledge of trajectory shape characteristics and curvature constraints …