Title :
Parametrization of all controllers for 4-block H∞ control problems with infinite and finite jω-axis zeros
Author :
Anderson, Brian D O ; Xin, Xin ; Mita, Tsutomu
Author_Institution :
Res. Sch. of Inf. Sci. & Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
A parametrization is presented of all solutions to the 4-block H ∞ control problem with infinite and finite jω-axis zeros. The parametrization is given in terms of linear fractional transformation on stable transfer function matrices with gain less than 1, which are free apart from satisfying certain interpolation conditions
Keywords :
H∞ control; computability; eigenvalues and eigenfunctions; interpolation; poles and zeros; stability; transfer function matrices; transforms; 4-block H∞ control; eigenstructures; finite zeros; infinite zeros; interpolation; linear fractional transformation; matrix algebra; parametrization; solvability; stability; transfer function matrices; Artificial intelligence; Control systems; Eigenvalues and eigenfunctions; Error correction; Interpolation; Plasma welding; Riccati equations; Sufficient conditions; Systems engineering and theory; Transfer functions;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.707367