Young, Peter M. (1993) Controller Design with Real Parametric Uncertainty. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1993.016
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A number of techniques have been developed in recent years for the analysis and design of controllers which are robust with respect to structured complex uncertainty. In particular the complex μ synthesis procedure has been successfully applied to a number of engineering problems. However the presence of real parametric uncertainty in the problem description substantially complicates matters, so that standard complex μ synthesis techniques are no longer adequate. In this paper we develop a procedure to tackle the mixed (real and complex) μ synthesis problem. This procedure involves a "D,G-K iteration" between computing the mixed μ upper bound and solving an H∞ optimal control problem, and has guaranteed convergence to a local minimum of the (nonconvex) problem. The procedure has been implemented in software, and several controller designs are compared with the corresponding complex μ synthesis designs.
|Item Type:||Report or Paper (Technical Report)|
|Additional Information:||I would like to thank John Doyle, Andy Packard and Matt Newlin for numerous helpful discussions. I would also like to thank Gary Balas and Keith Glover for lending me some of their expertise, and their software. This work was supported by ONR, NSF, NASA, and Rockwell International.|
|Group:||Control and Dynamical Systems Technical Reports|
|Usage Policy:||You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.|
|Deposited By:||Imported from CaltechCDSTR|
|Deposited On:||31 Aug 2006|
|Last Modified:||26 Dec 2012 14:29|
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