H-infinity Control for Nonlinear Descriptor Systems

✍ Scribed by He-Sheng Wang, Chee-Fai Yung, Fan-Ren Chang

• Publisher: Springer
• Year: 2006
• Tongue: English
• Leaves: 148
• Series: Lecture Notes in Control and Information Science 326
• Edition: 1st
• Category: Library

✦ Synopsis

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 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 H-infinity control problem for descriptor systems is proposed. Among other important topics covered are balanced realization, reduced-order controller design and mixed H₂/H-infinity control. "H-infinity Control for Nonlinear Descriptor Systems" provides a comprehensive introduction and easy access to advanced topics.

✦ Table of Contents

1 Introduction....Pages 1-11
2 Elements of Descriptor Systems Theory....Pages 13-36
3 Youla Parameterization for Descriptor Systems....Pages 37-60
4 The $\mathcal{H}_{\infty}$ Control Problems....Pages 61-87
5 Balanced Realization....Pages 89-109
6 Some Further Topics....Pages 111-136
7 Conclusions....Pages 137-140
A Generalized Algebraic Riccati Equations....Pages 141-148
B Center Manifold Theory....Pages 149-151

✦ Subjects

Control Engineering; Systems Theory, Control