Stabilization of Nonlinear Systems Using Receding-Horizon Control Schemes

A Parametrized Approach for Fast Systems
2006. Auflage 2006
ISBN: 978-1-84628-470-0
Verlag: Springer

Buch, Englisch, Band 339, 308 Seiten, Format (B × H): 156 mm x 239 mm, Gewicht: 1030 g

Reihe: Lecture Notes in Control and Information Sciences

While conceptually elegant, the generic formulations of nonlinear model predictive control are not ready to use for the stabilization of fast systems. Dr. Alamir presents a successful approach to this problem based on a co-operation between structural considerations and on-line optimization. The balance between structural and optimization aspects of the method is dependent on the system being considered so the many examples aim to transmit a mode of thought rather than a ready-to-use recipe; they include:

- double inverted pendulum;

- non-holonomic systems in chained form;

- snake board;

- missile in intercept mission;

- polymerization reactor;

- walking robot;

- under-actuated satellite in failure mode.

In addition, the basic stability results under receding horizon control schemes are revisited using a sampled-time, low-dimensional control parameterization that is mandatory for fast computation and some novel formulations are proposed which offer promising directions for future research.

Zielgruppe

Researchers in the stabilization of nonlinear systems; researchers and engineers working in underactuated robotics, nonholonomic systems, robotic systems in failure mode, fault-tolerant control and aerospace applications of control; libraries

Autoren/Hrsg.

Alamir, Mazen

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie
• Technische Wissenschaften Verfahrenstechnik | Chemieingenieurwesen | Biotechnologie Verfahrenstechnik, Chemieingenieurwesen
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Luft- und Raumfahrttechnik, Luftverkehr
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Wirtschaftswissenschaften Wirtschaftssektoren & Branchen Fertigungsindustrie Luftfahrtindustrie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Technische Wissenschaften Verkehrstechnik | Transportgewerbe Fahrzeugtechnik
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Generic Framework.- Definitions and Notation.- The Receding-Horizon State Feedback.- Stabilizing Schemes with Final Equality Constraint on the State.- Stabilizing Formulations with Free Prediction Horizon and No Final Constraint on the State.- General Stabilizing Formulations for Trivial Parametrization.- Limit Cycles Stabilizing Receding-Horizon Formulation for a Class of Hybrid Nonlinear Systems.- Generic Design of Dynamic State Feedback Using Receding-Horizon Schemes.- Application Examples.- Swing-Up Mechanical Systems.- Minimum-Time Constrained Stabilization of Nonholonomic Systems.- Stabilization of a Rigid Satellite in Failure Mode.- Receding-Horizon Solution to the Minimum-Interception-Time Problem.- Constrained Stabilization of a PVTOL Aircraft.- Limit Cycle Stabilizing Receding-Horizon Controller for the Planar Biped Rabbit.

Über Autor(innen)

Mazen Alamir has published many times in peer-reviewed journals (including several times in and ). He holds two patents concerning the remote localisation and estimation of speed for a moving vehicle. Doctor Alamir is a member of the IFAC technical committee on nonlinear control and, as such, has a good profile among his fellow control engineers, he is also the co-ordinator of the French CNRS workgroup on nonlinear predictive control and is a member of the French National Universities Council.