Second and Third Order Minimum Time Controllers and Missile Adjoints
Abstract
The optimal minimum time controller (i.e. bang-bang controller) is applied to the fast reaction missile defense problem. From Pontryagin, the optimal control was determined to be a function of the adjoint in the minimization of the Hamiltonian. The control may also be posed either as a function of time or as a function of the states. The state space can be partitioned into regions, surfaces and curves where the optimal control action is either its maximum plus or minus N. In missile simulation problems, the method of adjoints is often used in parametric studies of errors and miss distance. This technique is developed both graphically and mathematically, and is used here to help one visualize the solution trajectory and families of optimal trajectories for all possible initial conditions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1991
- Accession Number
- ADA245975
Entities
People
- Colin R. Cooper
Organizations
- Naval Postgraduate School