$\mathcal{H}_\infty$ Control for Nonlinear Descriptor Systems

• Main Authors: Wang, He-Sheng (Author), Yung, Chee-Fai (Author), Chang, Fan-Ren (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2006.
• Series: Lecture Notes in Control and Information Science, 326
• Subjects: Engineering.; System theory.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Systems Theory, Control.

The authors present a study of the H-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 H-infinity contr...

Table of Contents:

• 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.