one actor: dynamic optimization

1
D Y N A M I C S A N D S T R A T E G Y O F F L
I G H T
multicriteria pilot decision model
dynamic optimization problem
decision models
multiple conflicting objectives
available information
adversary

• problems
• minimum time climb
• minimum fuel trajectory
• tracking
• missile avoidance
• missile guidance

• use
• evaluation of
• tactics and technologies
• training

uncertainty in - position, attitude,
velocity - performance - goals
one actor dynamic optimization - controlling a
dynamic system in the best possible way two
actors dynamic game theory - optimization
against the worst action of the opponent several
actors simulation - decision theoretical
description of a mission
pilot

team decision making
preferences risk attitudes
solving the problem
pilot simulation by influence diagram -
multistage game setting
dynamical system - aircraft - atmosphere -
parameters
zero-sum pursuit-evasion game
numerical solution method
visualization
optimization criterion
?
?
VIATO - visual interactive aircraft trajectory
optimization MATO - missile avoidance trajectory
optimization
evader - escape if possible - capture with
maximal cost
pursuer - capture with minimal cost

• use
• evaluation of tactics and
• technologies
• worst case analysis
• threat assessment

• problems
• aircraft pursuit-evasion
• optimal missile
• missile capture set

discrete-event combat simulation
optimization server
selected
publications Virtanen K., Hämäläinen R.P., and
Mattila V. Team optimal signaling strategies in
air combat, IEEE Syst.Man Cybernetics (SMC),
2005 Virtanen K., Raivio T., and Hämäläinen R.P.
Modeling pilot's sequential maneuvering decisions
by a multistage influence diagram,
J.Guid.Cont.Dyn. (GCD), 2004 Raivio T. and
Ehtamo H. Discretization, nonlinear and bilevel
programming in pursuit-evasion games, Game
Theor.Appl., 2002 Ehtamo H. and Raivio T. On
applied nonlinear and bilevel programming for
pursuit-evasion games, J.Optim.Theor.Appl.,
2001 Raivio T. Capture set computation of an
optimally guided missile, GCD, 2001 Raivio T. and
Ehtamo H. Visual aircraft identification as a
pursuit-evasion game, GCD, 2000 Virtanen K.,
Raivio T., and Hämäläinen R.P. Decision
theoretical approach to pilot simulation,
J.Aircraft, 1999 Virtanen K., Ehtamo H., Raivio
T., and Hämäläinen R.P. VIATO - visual
interactive aircraft trajectory optimization,
SMC, 1999 Raivio T., Ehtamo H., and Hämäläinen
R.P. Aircraft trajectory optimization using
nonlinear programming, IFIP Syst.Model.Optim.,
1996
model server
GUI
Systems Analysis Laboratory
a new game solution decomposition into series of
optimization problems
Updated 11.10.2004