optimal control

Optimal Generator Policy for Hybrid Fuel UAV under Airspace Noise Restrictions

Here we study an optimal control problem involving energy management of a hybrid-fuel Unmanned Aerial Vehicle (UAV). The planning problem for a hybrid-fuel platform involves determining the path while managing the energy resources, which includes a …

Surveillance of a Faster Fixed-Course Target

The maximum surveillance of a target which is holding course is considered, wherein an observer vehicle aims to maximize the time that a faster target remains within a fixed-range of the observer. This entails two coupled phases: an approach phase …

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 …

Optimal Defense of High Value Airborne Assets

Optimal control theory and differential game theory is applied to the study of the defense of high value airborne assets, particularly in the case of a single threat such as an adversarial aircraft or missile. Rather than utilizing onboard defenses …

Maximum Observation of a Target by a Slower Observer in Three Dimensions

In this work, we consider a two-agent scenario consisting of an observer and non-maneuvering target. In the scenario, the observer is considered to be maneuverable and slower than the target. The observer is endowed with a nonzero radius of …

Optimal Evasion in an Active Target Defense Scenario

A three-agent scenario is considered in 3-D Cartesian space, where a Pursuer aims at intercepting an Evader while the Evader aims to out-maneuver the Pursuer. A Defender working in cooperation with the Evader aims at intercepting the Pursuer before …

An Optimal Guidance Strategy for the Defense of a Non-Maneuverable Target in 3-D

An engagement scenario involving the defence of a non-manoeuvrable agent, called the Target, is considered. A pursuing agent, engages the non-manoeuvrable Target while a defending agent, which aims at intercepting the Pursuer to protect the Target, …

Maximum Observation of a Faster Non-Maneuvering Target by a Slower Observer

This paper considers a two agent scenario containing an observer and a non-maneuvering target. The observer is maneuverable but is slower than the course-holding target. In this scenario, the observer is endowed with a nonzero radius of observation …

Direct Methods Comparison for the Active Target Defense Scenario

The goal of optimal control is to obtain an admissible function which minimizes an objective functional subject to specified constraints and boundary conditions. Four popular methods of computing the optimal control directly are the Single Shooting …

A Kinematic Rejoin Method for Active Defense of Non-Maneuverable Aircraft

An engagement scenario involving the defense of a valuable and non-maneuverable aircraft is investigated in this paper. An Attacker missile pursuing a Target aircraft and a Defender missile which aims at intercepting the Attacker in order to protect …