DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click HERE
to register or log in.
THE MULTIPLE INPUT MINIMAL TIME REGULATOR PROBLEM (GENERAL THEORY)
CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB
The minimum-time regulator problem is considered for a linear time-invariant discrete system whose state transition equation is x-k1 Ax--k Du--k1. The problem of control is to choose an m dimensional control vector u-k1 to influence the n dimensional state vector x-k1 in some prescribed fashion. As an example it may be required to take the initial state x-0 to some desired target state t- in the minimum number of sampling periods with the constraint that u-k1 be from an admissible class of controls. For the minimal time-regulator problem the target state t- is the equilibrium state 0-. The admissible class of controls is taken to be either the whole m dimensional space or a closed bounded, hence compact, convex set which contains the origin. Author