Accession Number : AD0675239

Title :   ON ONE CLASS OF AUTOMATIC CONTROL SYSTEMS INVARIANT UNDER PARAMETER VARIATIONS (OB ODNOM KLASSE INVARIANTNYKH OTNOSITELNO IZMENENII PARAMETROV SISTEM AVTOMATICHESKOGO UPRAVLENIYA),

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Kukhtenko,A. I. ; Shevelev,A. G.

Report Date : 04 DEC 1967

Pagination or Media Count : 17

Abstract : The problem of designing a dynamic system which would be insensitive to variation of its parameters is analyzed. It is indicated that although self-adapting systems in which the dynamic properties of the system remain unchanged with variation of its parameters are this kind of systems, theoretical studies and design of such systems are highly complex problems. Therefore, the author raises the question of whether it is possible to construct systems which have the characteristics of self-adaptive systems and are free of their shortcomings. The possibility of designing such systems is analyzed by using the methods of sensitivity theory and the methods of invariance theory. On the basis of the derived sensitivity equations and using invariance criteria, it is shown that in certain cases it is possible to design a dynamic system which is insensitive to variations of its parameters. The possibility of designing such invariant systems is illustrated by two examples: (1) the system is described by a system of four equations whose two coefficients a2(t) and k2(t) are considered as arbitrarily varying functions within certain given bounds; (2) an airplane autopilot system.

Descriptors :   (*CONTROL SYSTEMS, ADAPTIVE SYSTEMS), AUTOMATIC, SENSITIVITY, INVARIANCE, AUTOMATIC PILOTS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE