04086nam a22005415i 4500 978-3-319-47467-0 DE-He213 20210623010549.0 cr nn 008mamaa 170201s2017 gw | s |||| 0|eng d 9783319474670 978-3-319-47467-0 10.1007/978-3-319-47467-0 doi TL787-4050.22 TC1-1800 TRP bicssc TEC002000 bisacsh TRP thema TTDS thema 629.1 23 L'Afflitto, Andrea. author. aut http://id.loc.gov/vocabulary/relators/aut A Mathematical Perspective on Flight Dynamics and Control [electronic resource] / by Andrea L'Afflitto. 1st ed. 2017. Cham : Springer International Publishing : Imprint: Springer, 2017. XII, 122 p. 19 illus., 14 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Applied Sciences and Technology, 2191-530X Fundamentals of Rigid-Body Dynamics -- Equations of Motion of an Aircraft -- Aircraft Automatic Control -- Conclusion -- Appendix: Fundamentals of Dynamical Systems Theory. This brief presents several aspects of flight dynamics, which are usually omitted or briefly mentioned in textbooks, in a concise, self-contained, and rigorous manner. The kinematic and dynamic equations of an aircraft are derived starting from the notion of the derivative of a vector and then thoroughly analysed, interpreting their deep meaning from a mathematical standpoint and without relying on physical intuition. Moreover, some classic and advanced control design techniques are presented and illustrated with meaningful examples. Distinguishing features that characterize this brief include a definition of angular velocity, which leaves no room for ambiguities, an improvement on traditional definitions based on infinitesimal variations. Quaternion algebra, Euler parameters, and their role in capturing the dynamics of an aircraft are discussed in great detail. After having analyzed the longitudinal- and lateral-directional modes of an aircraft, the linear-quadratic regulator, the linear-quadratic Gaussian regulator, a state-feedback H-infinity optimal control scheme, and model reference adaptive control law are applied to aircraft control problems. To complete the brief, an appendix provides a compendium of the mathematical tools needed to comprehend the material presented in this brief and presents several advanced topics, such as the notion of semistability, the Smith–McMillan form of a transfer function, and the differentiation of complex functions: advanced control-theoretic ideas helpful in the analysis presented in the body of the brief. A Mathematical Perspective on Flight Dynamics and Control will give researchers and graduate students in aerospace control an alternative, mathematically rigorous means of approaching their subject. Aerospace engineering. Astronautics. System theory. Control engineering. Aerospace Technology and Astronautics. https://scigraph.springernature.com/ontologies/product-market-codes/T17050 Systems Theory, Control. https://scigraph.springernature.com/ontologies/product-market-codes/M13070 Control and Systems Theory. https://scigraph.springernature.com/ontologies/product-market-codes/T19010 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783319474663 Printed edition: 9783319474687 SpringerBriefs in Applied Sciences and Technology, 2191-530X https://doi.org/10.1007/978-3-319-47467-0 ZDB-2-ENG ZDB-2-SXE Engineering (SpringerNature-11647) Engineering (R0) (SpringerNature-43712)