Title :
Search methods for a constant scaling matrix attaining minimum H∞ norm
Author_Institution :
Inst. of Inf. Sci. & Electron., Tsukuba Univ., Ibaraki, Japan
Abstract :
The authors propose two iterative methods of searching for a constant diagonal matrix W>0 for which the H∞ norm of W0.5G( s) W-0.5 takes minimum value. One method uses an M-matrix property on a frequency domain and the other a Riccati equation property in a state space. Numerical examples show that the convergence is stable and quick within a few iterations by the frequency-domain approach, and that the convergence is within several iterations for an appropriately chosen step length by the state-space approach
Keywords :
control system synthesis; frequency-domain analysis; iterative methods; matrix algebra; optimal control; search problems; stability; state-space methods; M-matrix property; Riccati equation property; constant diagonal matrix; constant scaling matrix; frequency-domain approach; minimum H∞ norm; state-space approach; Frequency domain analysis; H infinity control; Iterative methods; Riccati equations; Robust stability; Search methods; Stability analysis; Stability criteria; State-space methods; Transfer functions;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203443
