Accession Number : AD0737162

Title :   Reduced-Order Sensitivity Models of Linear Systems with Applications.

Descriptive Note : Doctoral thesis,

Corporate Author : ILLINOIS UNIV URBANA COORDINATED SCIENCE LAB

Personal Author(s) : Varshney,Raj Kumar

Report Date : JAN 1972

Pagination or Media Count : 211

Abstract : The study is directed towards developing reduced-order parameter and initial condition sensitivity models for linear time-invariant continuous-time, sampled-data and time-delay systems. By introducing the concept of companion relationship among sensitivity functions, it is established that the sensitivity system os a general cyclic continuous-time system has the same dimensions whether the system is represented in companion form or in phase-variable form. Computational aspects aspects for attaining higher accuracy and greater efficiency in sensitivity realization are discussed. For systems with real eigenvalues, it is shown that its sensitivity system can be realized efficiently using Jordan canonic form. Generation of input parameter sensitivity functions is studied and reduced-order models for two classes of input functions are developed. (Author)

Descriptors :   (*ADAPTIVE CONTROL SYSTEMS, MATHEMATICAL MODELS), SENSITIVITY, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), INTEGRALS, NUMERICAL ANALYSIS, LINEAR SYSTEMS, TIME LAG THEORY, SUBROUTINES, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE