Description
Taylor & Francis Ltd Chaos In Automatic Control 2005 Edition by Wilfrid Perruquetti, Jean-Pierre Barbot
Chaotic behavior arises in a variety of control settings. In some cases, it is beneficial to remove this behavior; in others, introducing or taking advantage of the existing chaotic components can be useful for example in cryptography. Chaos in Automatic Control surveys the latest methods for inserting, taking advantage of, or removing chaos in a variety of applications. This book supplies the theoretical and pedagogical basis of chaos in control systems along with new concepts and recent developments in the field.Presented in three parts, the book examines open-loop analysis, closed-loop control, and applications of chaos in control systems. The first section builds a background in the mathematics of ordinary differential and difference equations on which the remainder of the book is based. It includes an introductory chapter by Christian Mira, a pioneer in chaos research. The next section explores solutions to problems arising in observation and control of closed-loop chaotic control systems. These include model-independent control methods, strategies such as H-infinity and sliding modes, polytopic observers, normal forms using homogeneous transformations, and observability normal forms. The final section explores applications in wireless transmission, optics, power electronics, and cryptography.Chaos in Automatic Control distills the latest thinking in chaos while relating it to the most recent developments and applications in control. It serves as a platform for developing more robust, autonomous, intelligent, and adaptive systems. OPEN-LOOP ANALYSISBifurcation and Chaos in Discrete Models: An Introductory Survey; C. MiraTools for Ordinary Differential Equations Analysis; W. PerruquettiNormal Forms and Bifurcations of Vector Fields; C. Dang Vu-DelcarteFeedback Equivalence of Nonlinear Control Systems: A Survey on Formal Approach; W. Respondek and I.A. TallSingular Perturbation and Chaos; M. Djemai and S. RamdaniCLOSED-LOOP DESIGNControl of Chaotic and Hyperchaotic Systems; L. LavalPolytopic Observers for Synchronization of Chaotic Maps; G. Millerioux and J. DaafouzNormal Forms of Nonlinear Control Systems; W. Kang and A.J. KrenerObservability Bifurcations: Application to Cryptography; J-P. Barbot, I. Belmouhoub, and L. Boutat-BaddasNonlinear Observer Design for Smooth Systems; A.J. Krener and M. XiaoSOME APPLICATIONSChaos and Communications; R. Quere, J. Guittard, and J.C. NallatambyChaos, Optical Systems, and Application to Cryptography; L. LargerIndirect Field-Oriented Control of Induction Motors: A Hopf Bifurcation Analysis; F. Gordillo, F. Salas, R. Ortega, and J. AracilImplementation of the Chua's Circuit and its Application in the Data Transmission; L. Boutat-Baddas, J-P. Barbot, and R. TauleigneSynchronization of Discrete-Time Chaotic Systems for Secured Data Transmission; I. Belmouhoub and M. DjemaiAppendix A. On Ergodic Theory of ChaosINDEX