Title :
Direct factorization approach to H∞ control problem
Author :
Barabanov, Andrey E.
Author_Institution :
St.-Petersburg State Univ., St. Petersburg, Russia
Abstract :
The algebraic formulae for the full information H∞ optimal compensator are presented in terms of the open-loop plant transfer functions. They admit a direct generalization to the infinite-dimensional case. The new approach proposed is based on the new results in the polynomial matrix factorization theory including the algebraic connection between a solution of the state-space Riccati equation and polynomial matrices of the plant equation.
Keywords :
H∞ control; Riccati equations; compensation; matrix decomposition; multidimensional systems; open loop systems; state-space methods; transfer functions; H∞ control problem; H∞ optimal compensator; algebraic connection; algebraic formulae; direct factorization approach; infinite-dimensional case; open-loop plant transfer function; plant equation; polynomial matrices; polynomial matrix factorization theory; state-space Riccati equation; Europe; Linear systems; Mathematical model; Polynomials; Process control; Symmetric matrices; Transfer functions; Ή∞/ℓ1 Polynomial approach;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
