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Optimal guidance at work

  1. A volley of Hamas rockets is fired from Gaza strip towards Israeli cities.
  2. Ground radars detect typical signal returns of launches.
  3. Being uncontrollable nor maneuverable, flight trajectory of the rockets can be estimated in a good approximation.
  4. After filtration, measurements are fused into a single state vector, used for the GNC initial conditions.
  5. When optimal conditions are met, interceptors are launched, while continuously computing the dynamic pursuit.

[038781] - Robust Guidance and Control Via Min-Max

Syllabus : Kinematics: Inertial, Line of Sight. Optimal Control, Differential Games. Linear Guidance: Small Perturbations, Proportional Navigation, Lq Guidance. Saturation and Interception Conditions. Target Maneuvers and Guaranteed Miss-Distance. Non-Linear Guidance: Small Perturbations, Bounded Controls, Min-Max Guidance, Guaranteed Miss- Distance. Non-Linear Vector Guidance: Bounded Controls, Optimal Inertial Guidance, Line-of-Sight Guidance, Time-to-Go Equation. Jump Phenomenon: First and Second Pass Interception. Guaranteed Miss Distance. Linear Quadratic Guidance. the Influence of the Interceptor Configuration on Miss-Distance.

Demonstration from final project :

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and some of the results it gave : alt text

[088759] - Advanced Topics in Missile Guidance Theory

Syllabus : Review of Proportional Navigation, Miss Distance Computation Using the Adjoint Method, Optimal Evasive Strategies from Homing Missiles, Optimization of Guidance Laws for Homing Missiles, Derivation of Advanced Guidance Laws for Homing Missiles, Deerivation of Advanced Guidance Laws Using Differential Games Theory. on Successful Competition of This Course, Students Should Be Able to:

  1. Apply Missile Guidance Laws in 2D and 3D Engagements.
  2. Analyze the Miss Distance Performance of Linear Guidance Laws Using the Adjoint Methods.
  3. Derive Optimal Control Based Linear Guidance Laws.
  4. Derive Linear Quadratic and Bounded Control Differential Games Based Linear Guidance Laws.
  5. Synthesize Optimal Evasion Strategies from Homing Missiles, Using Optimal Control and the Adjoint Method.
  6. Reduce the Order of a Linear Guidance Problem Using the Terminal Projection Transformation.

Demonstration from final project :

alt text

Requirements

The code's executions run solely on a basic Matlab installation.