Title :
A probabilistic robustness result for a multilinearly parameterized H∞ norm
Author :
Barmish, B. Ross
Author_Institution :
Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA
Abstract :
The main result in the paper addresses probabilistic robustness for a multilinearly parameterized H∞ norm involving uncertain parameters. For the prescribed class of admissible probability density functions ℱ for the uncertain parameters, the main result is as follows: All moments of the random H∞ norm are maximized over f ε ℱ by taking f to be the uniform distribution
Keywords :
H∞ control; probability; robust control; transfer function matrices; admissible probability density functions; multilinearly parameterized H∞ norm; probabilistic robustness; uncertain parameters; uniform distribution; Density functional theory; Feedback; Matrix decomposition; Monte Carlo methods; Probability density function; Probability distribution; Robust control; Robustness; Transfer functions; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879177
