Title :
The calculation of μ-sensitivities
Author :
Douglas, Joel ; Athans, Michael
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA
Abstract :
In this paper, we examine a robustness tool called the μ-sensitivities introduced by Braatz-Morari (1991). Given a closed loop system, the μ-sensitivities indicate how the structured singular value μ decreases as the uncertainty in the system decreases. Using the upper bound to μ as our performance, we derive a numerically stable and computationally efficient method to calculate these sensitivities. A nontrivial example shows that this new computational method makes the μ-sensitivities a viable tool for system analysis
Keywords :
closed loop systems; control system analysis; robust control; sensitivity analysis; uncertain systems; μ-sensitivity; closed loop system; robustness tool; structured singular value; system uncertainty; upper bound; Closed loop systems; Finite difference methods; Measurement standards; NASA; Performance gain; Robust stability; Robustness; Uncertainty; Upper bound;
Conference_Titel :
American Control Conference, Proceedings of the 1995
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-2445-5
DOI :
10.1109/ACC.1995.529285
