Title :
Reliable computation of γopt in singular H∞ control
Author :
Gahinet, Pascal ; Laub, Alan J.
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
This paper describes a numerically stable algorithm for the computation of the optimal H∞ performance γopt when the feedthrough matrices D12 or D 21 are rank-deficient. Using only orthogonal transformations, this algorithm extracts a regular subproblem from the original singular H∞ problem. A standard Riccati-based γ-iteration scheme is then applied to this regular subproblem to compute γopt
Keywords :
H∞ control; matrix algebra; numerical stability; γopt; feedthrough matrices; numerically stable algorithm; optimal H∞ performance; orthogonal transformations; rank-deficient matrices; singular H∞ control; Eigenvalues and eigenfunctions; Linear algebra; Null space; Optimized production technology; Riccati equations;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411228
