Buch, Englisch, Band 326, 164 Seiten, Format (B × H): 154 mm x 238 mm, Gewicht: 285 g
Buch, Englisch, Band 326, 164 Seiten, Format (B × H): 154 mm x 238 mm, Gewicht: 285 g
Reihe: Lecture Notes in Control and Information Sciences
ISBN: 978-1-84628-289-8
Verlag: Springer
The authors present a study of the -infinity control problem and related topics for descriptor systems, described by a set of nonlinear differential-algebraic equations. They derive necessary and sufficient conditions for the existence of a controller solving the standard nonlinear -infinity control problem considering both state and output feedback. One such condition for the output feedback control problem to be solvable is obtained in terms of Hamilton–Jacobi inequalities and a weak coupling condition; a parameterization of output feedback controllers solving the problem is also provided. All of these results are then specialized to the linear case. The derivation of state-space formulae for all controllers solving the standard -infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed /-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
- Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
Weitere Infos & Material
Introduction.- Elements of Descriptor Systems Theory.- Youla Parameterization.- The H-infinity Control.- Balanced Realization.- Some Further Topics.- Conclusions.- Appendices: Generalized Algebraic Riccati Equations; Center Manifold Theory.