Title :
Robust regulation in the presence of norm-bounded uncertainty
Author :
Abedor, J. ; Nagpal, K. ; Khargonekar, P.P. ; Poolla, K.
Author_Institution :
Dept. of Mech. Eng., California Univ., Berkeley, CA, USA
fDate :
29 June-1 July 1994
Abstract :
We consider robust regulation (against steps and sinusoids) in the presence of unstructured uncertainty. The unstructured uncertainty is norm-bounded by a constant that is given a priori. This problem is equivalent to a certain multi-objective problem where one objective is robust regulation and the other is the standard objective of H∞ suboptimal control. It is shown that a solution to this problem exists if and only if the standard H∞ problem admits a solution and certain matrix inequalities are satisfied. These solvability conditions are readily computable. Controller synthesis is also addressed.
Keywords :
H∞ control; control system synthesis; robust control; uncertain systems; H∞ suboptimal control; controller synthesis; matrix inequalities; norm-bounded uncertainty; robust regulation; unstructured uncertainty; Cities and towns; Control system synthesis; Frequency; Linear matrix inequalities; Robust control; Robustness; Signal synthesis; Transfer functions; Uncertainty; Vectors;
Conference_Titel :
American Control Conference, 1994
Print_ISBN :
0-7803-1783-1
DOI :
10.1109/ACC.1994.751847
