
Accession Number : AD0706115
Title : ON THE DESIGN OF OPTIMAL CONSTRAINED DYNAMIC COMPENSATORS FOR LINEAR CONSTANT SYSTEMS,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING
Personal Author(s) : Johnson,Timothy L. ; Athans,Michael
Report Date : MAR 1970
Pagination or Media Count : 15
Abstract : The paper deals with the design of linear timeinvariant dynamic compensators of fixed dimensionality (s) which are to be used for the regulation of an nth order linear timeinvariant plant. A modified quadratic cost criterion is employed in which a quadratic penalty on the system state as well as all compensator gains is used; the effects of the initial state are averaged out. The optimal compensator gains are specified by a set of simultaneous nonlinear matrix algebraic equations. The numberical solution of these equations would specify the gainmatrices of the dynamic compensator. The proposed method may prove useful in the design of loworder (s) compensators for highorder (n) plants that have few (r) outputs, so that the dimension of the compensator is less than that obtained through the use of the associated KalmanBucy filter (n) or Luenberger observer (nr). (Author)
Descriptors : (*CONTROL SYSTEMS, MATHEMATICAL MODELS), (*LINEAR SYSTEMS, CORRECTIONS), SERVOMECHANISMS, MATRICES(MATHEMATICS), OPTIMIZATION
Subject Categories : Theoretical Mathematics
Test Facilities, Equipment and Methods
Distribution Statement : APPROVED FOR PUBLIC RELEASE