Ebook: A Practical Approach to Robustness Analysis with Aeronautical Applications

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 .

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The purpose of A Practical Approach to Robustness Analysis withAeronautical Applications is twofold. First, it is to introduce as clearly as possible the mu framework, while the second is to emphasize its practical usefulness. To this aim, classical and advanced mu tools are first presented, then applied to a range of engineering problems, namely a missile, a large rigid or flexible transport aircraft and a highly flexible telescope mock-up.

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The purpose of A Practical Approach to Robustness Analysis withAeronautical Applications is twofold. First, it is to introduce as clearly as possible the mu framework, while the second is to emphasize its practical usefulness. To this aim, classical and advanced mu tools are first presented, then applied to a range of engineering problems, namely a missile, a large rigid or flexible transport aircraft and a highly flexible telescope mock-up.
Content:
Front Matter....Pages i-xxv
Introduction to ? and LFTs....Pages 3-28
Applicative Examples....Pages 29-40
Realization of Uncertain Systems Under an LFT Form....Pages 43-52
Applications....Pages 53-59
Computation of ? Bounds....Pages 63-79
Applications of the ? Tools....Pages 81-92
Skewed ? Problems in Robustness Analysis....Pages 95-102
Computation of Skewed Bounds....Pages 103-113
Application of the Skewed ? Tools....Pages 115-120
Robustness Analysis of Flexible Structures....Pages 123-141
Robustness Analysis in the Presence of Time Delays....Pages 143-162
Nonlinear Analysis in the Presence of Parametric Uncertainties....Pages 163-181
Back Matter....Pages 183-205

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The purpose of A Practical Approach to Robustness Analysis withAeronautical Applications is twofold. First, it is to introduce as clearly as possible the mu framework, while the second is to emphasize its practical usefulness. To this aim, classical and advanced mu tools are first presented, then applied to a range of engineering problems, namely a missile, a large rigid or flexible transport aircraft and a highly flexible telescope mock-up.
Content:
Front Matter....Pages i-xxv
Introduction to ? and LFTs....Pages 3-28
Applicative Examples....Pages 29-40
Realization of Uncertain Systems Under an LFT Form....Pages 43-52
Applications....Pages 53-59
Computation of ? Bounds....Pages 63-79
Applications of the ? Tools....Pages 81-92
Skewed ? Problems in Robustness Analysis....Pages 95-102
Computation of Skewed Bounds....Pages 103-113
Application of the Skewed ? Tools....Pages 115-120
Robustness Analysis of Flexible Structures....Pages 123-141
Robustness Analysis in the Presence of Time Delays....Pages 143-162
Nonlinear Analysis in the Presence of Parametric Uncertainties....Pages 163-181
Back Matter....Pages 183-205
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