Optimal Control and Game Theory in Flight Mechanics

Optimal Control and Game Theory in Flight Mechanics (ING-IND/03 - 6 CFU) is a 2nd year eligible course of the Special Master of Aerospace Engineering, provided by the School of Aerospace Engineering. The course is organized into the 4 blocks described below. Relevant study cases selected from real mission scenarios are simulated using Matlab and GMAT software.


Rocket and Re-entry Trajectories

(1) Minimum-time and Minimum-fuel solutions for: (a) orbit injection; (b) aerodynamic-driven rocket landing, (c) adaptive lunar landing with actuators constraints; (d) hypersonic periodic cruise; (e) atmospheric re-entry.
(2) Primer Vector Theory applications.
(3) Parallel/Proportional Navigation optimality conditions for guidance laws.

Attitude control and Actuation

(1) Bang-bang control and PWM/PWPF modulation.
(2) Linear quadratic optimal control with applications on: (a) hypersonic vehicle penetration and (b) adaptive re-entry control.
(3) H-infinity attitude control of rigid spacecraft with flexible structures.

Orbit transfers

(1) Global optimal transfers.
(2) Minimum-fuel transfer with low-thrust propulsion for: (a) LEO-GEO, (b) LEO-GTO.
(3) CR3BP/ER3BP low-energy trajectories design for: (a) Earth-Moon ballistic captures; (b) powered lunar capture through L1; (c) transfer from hyperbolic to low-energy capture through L1/L2.

Dynamic game theory

(1) Zero-sum games for: (a) cooperative rendezvous; (b) competitive rendezvous; (c) stable relative motion under perturbations.
(2) Game-negotiation applications on optimal scheduling of tasks in satellite constellations.
(3) Differential game-based rocket guidance.


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