1. MOTIVATION In many physical situations, a plant model is often provided with a qualitative or quantitative measure of associated model uncertainties. On the one hand, the validity of the model is guaranteed only inside a frequency band, so that nearly nothing can be said about the behavior of the real plant at high frequencies. On the other hand, if the model is derived on the basis of physical equations, it can be parameterized as a function of a few physical parameters, which are usually not perfectly known in practice. This is e.g. the case in aeronautical systems: as an example, the ae- dynamic model of an airplane is derived from the flight mechanics eq- tions. When synthesizing the aircraft control law, it is then necessary to take into account uncertainties in the values of the stability derivatives, which correspond to the physical coefficients of the aerodynamic model. Moreover, this airplane model does not perfectly represent the be- vior of the real aircraft. As a simple example, the flight control system or the autopilot are usually synthesized just using the aerodynamic model, thus without accounting for the flexible mechanicalstructure: the c- responding dynamics are indeed considered as high frequency neglected 1 dynamics, with respect to the dynamics of the rigid model
CONTENT
Preliminaries -- to ? and LFTs -- Applicative Examples -- Computation of a Standard LFT Structure -- Realization of Uncertain Systems Under an LFT Form -- Applications -- Applications -- Computation of ? Bounds -- Applications of the ? Tools -- Applications -- Skewed ? Problems in Robustness Analysis -- Computation of Skewed Bounds -- Application of the Skewed ? Tools -- Nonstandard Applications -- Robustness Analysis of Flexible Structures -- Robustness Analysis in the Presence of Time Delays -- Nonlinear Analysis in the Presence of Parametric Uncertainties
Mathematics
System theory
Calculus of variations
Mechanical engineering
Automotive engineering
Electrical engineering
Mathematics
Systems Theory Control
Automotive Engineering
Calculus of Variations and Optimal Control; Optimization
