MINIMAL TIME DISCRETE SYSTEM
Abstract
The minimal time regulator problem is investigated for a saturating sampled-data control system which has a linear plant with real and distinct characteristic roots. An optimal control was obtained in two stages, first determining the sets R'(sub)N of state space points from which the origin can be reached in N sampling periods or less and second obtaining a unique canonical representation of all points in R(sub)N, the set of state space points from which the origin can be reached in N sampling periods and no less. A block diagram description is given for an analog computer that generates the proposed optimal control. In the sampled-data case, the optimal control is not unique except for the points on the boundary of the R'(sub)N's. As T, the sampling period, tends to zero, the length of L(sub)1 goes to zero and the proposed optimal control becomes, in the limit, identical to the usual one for the continuous case: the critical surface becomes the switching surface. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 15, 1960
- Accession Number
- AD0254012
Entities
People
- C.a. Desoer
- J. Wing
Organizations
- University of California, Berkeley