Robust Control of Multivariable and Large Scale Systems.
- 23 March 1988
- report
- Published by Defense Technical Information Center (DTIC)
Abstract
This report gives fairly complete introduction to the Structured Singular Value (mu) and detail some of the latest results. The mu-based methods discussed here have proven to be useful for analyzing the performance and robustness properties of linear feedback systems. This report also describes the recent nonlinear extensions. A description is given for how parametric uncertainty in state space models can be rearranged into the mu framework. The theories for computation of the upper and lower bounds on mu are developed. The relationships between the upper bound and mu for various block structures are explored. The extensions of the mu-based methods to time-varying and nonlinear controllers are outlined. Keywords: Linear fractional transformation; Optimal control; Difference equations.Keywords
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