Accession Number : AD0282333

Title :   APPLICATION OF PONTRYAGIN'S MAXIMUM PRINCIPLE: LINEAR CONTROL SYSTEMS

Corporate Author : AIR FORCE OFFICE OF SCIENTIFIC RESEARCH ARLINGTON VA

Personal Author(s) : COLLINA,GIANCARLO L. ; DORATO,PETER

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : The problem of linear, continuous-time, deterministic optimal, control systems is discussed. In particular it is shown, via Pontryagin's maximum principle, that linear optimal control systems always result from the combination of (1) a linear plant; (2) integral quadratic performance criterion; and (3) no constraints on the plant input. The controller synthesis is outlined in the general time-varying case and various illustrative examples are included. A comparison of the maximum principle approach with dynamic programming and the classical calculus of variations is also included. Both driven and undriven control systems are considered. For the case where the time-interval of optimality is infinite, the stability of the optimal system is investigated. It is shown that stability is assured whenever the integral of the performance criterion is positive definite. (Author)

Descriptors :   *CONTROL SYSTEMS, *LINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, LINEAR PROGRAMMING

Distribution Statement : APPROVED FOR PUBLIC RELEASE