Delay Effects on Stability - A Robust Control Approach

This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

List of contents

Preliminaries.- Examples.- Stability sets and regions.- Reducible discrete delays and LTIs.- Liapunov s second method and LMIs.- Robustness issues in closed-loop.- Applications.

Summary

This monograph is devoted to the effect of delays on the stability properties of dynamical systems. Stability regions with respect to the delay parameters are considered, and some sufficient characterizations are proposed. This monograph addresses general delay problems and offers solutions in some cases. In other cases, approximations of the stability regions can be proposed. The interpretation of delays as uncertainty allows the authors to use the advances in robust control and robust convex optimization to solve or to approximate the solutions of the corresponding problems.

Product details

• Authors: Silviu-Iulian Niculescu
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 09.07.2009
• EAN: 9781852332914
• ISBN: 978-1-85233-291-4
• No. of pages: 388
• Weight: 572 g
• Illustrations: XVI, 388 p.
• Series: Lecture Notes in Control and Information Sciences; Lecture Notes in Control and Information Sciences
• Subjects: Natural sciences, medicine, IT, technology > Technology > Mechanical engineering, production engineering; B, Optimization, Robotics, engineering, complexity, Measurement, Control and Systems Theory, Systems Theory, Control, Electronic devices & materials, Measurement Science and Instrumentation, Physical measurements, Maths for engineers, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization, Control, Robotics, Mechatronics, Control, Robotics, Automation, Control engineering, Mechatronics, Automatic control engineering, System Theory, Cybernetics & systems theory, Applied Dynamical Systems, Computational complexity