Near-Optimal Trajectory Planning for Nonholonomic Caplygin Systems.

Optimal Path Planning for Nonholonomic Robotic Systems via Parametric Optimisation

Motivated by the path planning problem for robotic systems this paper considers nonholonomic path planning on the Euclidean group of motions SE(n) which describes a rigid bodies path in n-dimensional Euclidean space. The problem is formulated as a constrained optimal kinematic control problem where the cost function to be minimised is a quadratic function of translational and angular velocity i...

Finding Near-optimal Solutions in Multi-robot Trajectory Planning

We deal with the problem of planning collisionfree trajectories for robots operating in a shared space. Given the start and destination position for each of the robots, the task is to find trajectories for all robots that reach their destinations with minimum total cost such that the robots will not collide when following the found trajectories. Our approach starts from individually optimal tra...

E icient and Precise Trajectory Planning for Nonholonomic Mobile Robots

Trajectory planning is one of the fundamental problems in mobile robotics. A wide variety of approaches have been proposed over the years to deal with the various issues of this problem. This thesis presents an original and complete solution to tackle the motion planning problem for nonholonomic mobile robots in two-dimensional space. Given a set of obstacles, an initial and a goal con guration...

Optimal Trajectory Planning and Train Scheduling for Railway Systems

Trajectory Tracking Optimal Control for Nonholonomic Mobile Robot

This paper discussed the problem of trajectory tracking control for the nonholonomic mobile robot’s kinematic model with the angular speed of two actuated wheels as its control input. Based on the backstepping control algorithm, a sliding-mode variable structure switching function is designed, in order to improve the quality of motion control, fuzzy logic is used to adjust sliding-mode reaching...