THE MULTIPLE INPUT MINIMAL TIME REGULATOR PROBLEM (GENERAL THEORY)
Abstract
The minimum-time regulator problem is considered for a linear time-invariant discrete system whose state transition equation is x-k+1 = Ax--k +Du--k+1. The problem of control is to choose an m dimensional control vector u-k+1 to influence the n dimensional state vector x-k+1 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-k+1 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 26, 1961
- Accession Number
- AD0265140
Entities
People
- C.a. Desoer
- J. Wing
Organizations
- University of California, Berkeley