Control theory and design an RH₂ and RH [infinity] viewpoint - Colaneri, Patrizio (Academic Press, 1997)
On t.p. "[infinity]" appears as the infinity symbol
Includes bibliographical references (p. [371]-374) and index
Front Cover; Control Theory and Design; Copyright Page; Contents; Preface & Acknowledgments; Chapter 1. Introduction; Chapter 2. Preliminaries; Chapter 3. Feedback Systems Stability; Chapter 4. RH2 Control; Chapter 5. RHa Control; Chapter 6. Nonclassical Problems in RH2 and RHa; Chapter 7. Uncertain Systems Control Design; A. Some Facts on Polynomials; B. Singular Values of Matrices; C. Riccati Equation; D. Structural Properties; E. The Standard 2-Block Scheme; F. Loop Shifting; G. Worst Case Analysis; H. Convex Functions and Sets; I. Convex Programming Numerical Tools; Bibliography; Index
Control systems design methodologies have long suffered the traditional and myopic dichotomy between time and frequency domain approaches, each of them being specialized to cope with only scarcely overlapping performance requirements. This book is aimed at bridging the two approaches by presenting design methodologies based on the minimization of a norm (H2/H() of a suitable transfer function. A distinctive feature of these techniques is the fact that they do not create only one solution to the design problem, instead they provide a whole set of admissible solutions which satisfy a constraint