Title :
Some conditions which make the constantly scaled H∞ control synthesis problems convex
Author :
Asai, Tetsuya ; Hara, Shinji
Author_Institution :
Dept. of Mech. Eng., California Univ., Berkeley, CA, USA
Abstract :
We present some conditions which make the linear fractional transformation constantly scaled H∞ control synthesis problems convex. Moreover, we show that a class of reduced order controller synthesis with scalings can be reduced to convex problems, as long as some of state variables are exactly available. If one of the conditions proposed in the paper holds, the constantly scaled H∞ control synthesis problems can be solved efficiently as LMI problems. The results presented include as special cases the existing results such as the state feedback and the full information problems
Keywords :
H∞ control; control system synthesis; matrix algebra; reduced order systems; state feedback; LMI problems; convex problems; full information problem; linear fractional transformation constantly scaled H∞ control synthesis problems; reduced order controller synthesis; state feedback; Control system synthesis; Control systems; Iterative methods; Output feedback; Robust stability; Robustness; State feedback; Transfer functions; Uncertainty;
Conference_Titel :
American Control Conference, 1998. Proceedings of the 1998
Conference_Location :
Philadelphia, PA
Print_ISBN :
0-7803-4530-4
DOI :
10.1109/ACC.1998.703250