Generation of low order LFT Representations for Robust Control Applications
The book describes new techniques for the generation of Linear Fractional Transformation (LFT) representations of almost minimal order for parametric models. These representations are the basis for an efficient application of many modern methods for robust stability and performance analysis and robust controller synthesis. All generation techniques are efficiently implemented in a toolbox for Matlab and allowed to realize an LFT representation of possibly minimal order for one of the most complex aircraft models available in literature. The efficient LFT-based robust stability analysis results for the aircraft coincide with the results obtained from a traditional, time-consuming, parameter gridding and worst-case search approach. A minimal order LFT representation could also be realized for a parametric model describing the lateral dynamics of a passenger car and modern LFT-based controller synthesis techniques were applied with excellent robust stability and performance results.