Title :
A convex approach to robust H2 performance analysis
Author :
Sznaier, Mario ; Amishima, Takeshi ; Tierno, Jorge ; Parrilo, Pablo
Author_Institution :
Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA
fDate :
6/21/1905 12:00:00 AM
Abstract :
The problem of assessing robust H2 performance (as a first step towards robust H2 synthesis) has been open for the last two decades. Moreover, while convex characterizations of the worst H2 performance are available for SISO plants, a counterexample has pointed out that these characterizations are potentially conservative for MIMO plants, with a gap size that increases with the number of inputs. We consider the problem of assessing worst-case H2 performance for MIMO systems and we give an LMI based sufficient condition for robust performance under LTI (not necessarily causal) model uncertainty, having game complexity as H∞ conditions for the same problem. Moreover, we show that this condition is indeed necessary and sufficient for MIMO plants under (arbitrarily slow) linear time varying uncertainty and for MISO and SIMO systems under a class of LTI uncertainty
Keywords :
H∞ control; MIMO systems; computational complexity; control system analysis; linear systems; robust control; time-varying systems; uncertain systems; H∞ conditions; LMI based sufficient condition; LTI model uncertainty; MIMO plants; MISO plants; SIMO systems; convex approach; game complexity; linear time varying uncertainty; robust H2 performance analysis; worst-case H2 performance; Performance analysis; Robustness; Sufficient conditions; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.832924
