Accession Number : ADA132719

Title :   Fast Algebraic Methods for Multivariable Control Systems.

Descriptive Note : Final rept. 1 Sep 80-31 Aug 83,


Personal Author(s) : Shieh,Leang S

PDF Url : ADA132719

Report Date : 01 Sep 1983

Pagination or Media Count : 14

Abstract : Several fast algebraic methods have been developed for the analysis and synthesis of multivariable control systems. Simple and quick methods based on the block-pulse functions and the matrix continued fractions have been derived for rapid model reduction, system identification, models conversion, rational matrix realization, and design of multivariable control systems. Also, computer-aided methods have been developed for determining the solvents, spectral factors of matrix polynomials and for evaluating the block partial fraction expansions of rational matrices. Furthermore, a quick algorithm based on the matrix sign function has been developed for rapid solution of matrix Riccati equation. The algorithm has successfully been applied to develop a fast suboptimal state-space self-tuner for linear stochastic multivariable systems.

Descriptors :   *Multivariate analysis, *Control theory, Algorithms, Matrix theory, Adaptive control systems, Control systems, Linear systems, Approximation(Mathematics)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE