Outline. Strix – Saab Bofors (BAE) Precision Guided Mortar Munition (PGMM) – ATK Projectile Equations of Motion Controllability Bang-Bang Control Impulsive dynamical systems “Naïve” control strategy Simulations Future directions. Terminally Guided Mortar Munition. STRIX Main Parts.
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Electronics & Power Supply
Control Rockets Assembly
3. Ballistic phase
4. Guidance phase
Equations of Motion
Equations for Rotational rates
Definition: Given the system
Controllability: The pair (A,B) is said to be controllable iff at the initial time t0 there exist a control function u(t) which will transfer the system from its initial state x(t0) to the origin in some finite time. If this statement is true for all time, then the system is "Completely Controllable".
The projectile control problem can be viewed as an impulsive dynamical system, whose analysis can be quite involved. In the general situation, such systems can exhibit infinitely many switches, beating, etc.
Controllability of hybrid systems is a hot topic currently, and despite the numerous papers on the topic efficient numerical algorithms that provide control algorithms is still lacking.
+ 300 Meters
- 300 Meters
Impact point computed exactly, 39 shots required
Impact point within 0.1m, 9 shots required