A method for designing robust multivariable feedback systemsA new methodology is developed for the synthesis of linear, time-invariant (LTI) controllers for multivariable LTI systems. The aim is to achieve stability and performance robustness of the feedback system in the presence of multiple unstructured uncertainty blocks; i.e., to satisfy a frequency-domain inequality in terms of the structured singular value. The design technique is referred to as the causality recovery methodology (CRM). Starting with an initial (nominally) stabilizing compensator, the CRM produces a closed-loop system whose performance-robustness is at least as good as, and hopefully superior to, that of the original design. The robustness improvement is obtained by solving an infinite-dimensional, convex optimization program. A finite-dimensional implementation of the CRM was developed, and it was applied to a multivariate design example.
Document ID
19890041295
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Milich, David A. (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Athans, Michael (Massachusetts Inst. of Tech. Cambridge, MA, United States)
Valavani, Lena (Massachusetts Inst. of Tech. Cambridge, MA, United States)