
Accession Number : AD0725441
Title : Sensitivity Improvement of Feedback Systems,
Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB
Personal Author(s) : Cruz,J. B. , Jr. ; Sundararajan,N.
Report Date : MAY 1971
Pagination or Media Count : 32
Abstract : Nominally equivalent control realizations consisting of linear combinations of openloop and state feedback control for a linear timeinvariant completely controllable plant are considered. Two controls are said to be nominally equivalent if they are equal for nominal values of plant parameters. The main result of the paper is a development of a procedure for determining a semiclosed loop control which is nominally equivalent to a given semiclosed loop control and which is less sensitive to plant parameter perturbations than the given control. The given semiclosed loop control realization includes openloop and closedloop realizations as special cases. Sensitivity reduction is achieved by specifying the change in the feedback matrix in terms of the solution of an algebraic matrix Riccati equation. The corresponding openloop portion of the control is changed to maintain nominal equivalence. The restructured semiclosed loop system is always stable. When the nominal control is optimal, the sensitivity reduction described in the paper generalizes the one given by Kreindler for optimal closedloop control compared to the optimal openloop control. (Author)
Descriptors : (*CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, MATRICES(MATHEMATICS), DIFFERENTIAL EQUATIONS, SENSITIVITY, FEEDBACK
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE