Accession Number:

AD0254012

Title:

MINIMAL TIME DISCRETE SYSTEM

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY ELECTRONICS RESEARCH LAB

Personal Author(s):

Report Date:

1960-11-15

Pagination or Media Count:

1.0

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 RsubN 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 RsubN, 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 RsubNs. As T, the sampling period, tends to zero, the length of Lsub1 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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE