optimization

Optimal Strategies for the Game of Protecting a Plane in 3-D

A conflict between rational and autonomous agents is considered. The paper addresses a differential game of protecting a target in the 3-D space. This problem highlights the strong correlation between the highly dynamic scenario, the uncertainty on …

Energy-aware 3D Leader-Follower Flight Trajectory Optimization for Fixed-Wing Aircraft

This paper focuses on optimizing the 3D flight trajectory of a fixed-wing follower aircraft in a leader-follower formation scenario. Instead of a rigid formation, the desired formation is defined as set of points configured as a ring located behind …

Trajectory Optimization For Rendezvous Planning Using Quadratic Bézier Curves

In this paper, we consider a trajectory planning problem where an autonomous vehicle aims to rendezvous with another cooperating vehicle in minimum time. The first vehicle has kinematic constraints, consequently feasible trajectories must have a …

Persistent Monitoring by Multiple Unmanned Aerial Vehicles Using Bernstein Polynomials

A framework for monitoring a target modeled as Dubins car using multiple UAVs is proposed. The UAVs are subject to minimum and maximum speed, maximum angular rate constraints, as well as inter-vehicle safety requirements and no-fly-zones. The problem …

Quadratic Bezier Curves for Multi-Agent Coordinated Arrival in the Presence of Obstaclesdratic

We consider a multiple vehicle path planning problem with curvature constraints in the presence of obstacles, where multiple vehicles need to arrive at a given final location simultaneously. We aim to find the paths using a simplex framework that …