Implementation of the Chua's Circuit and its Application in the Data Transmission L. Indirect Field-Oriented Control of Induction Motors: A Hopf Bifurcation Analysis F. NallatambyĬhaos, Optical Systems, and Application to Cryptography L. Nonlinear Observer Design for Smooth Systems A.J. Observability Bifurcations: Application to Cryptography J-P. Normal Forms of Nonlinear Control Systems W. Polytopic Observers for Synchronization of Chaotic Maps G. RamdaniĬontrol of Chaotic and Hyperchaotic Systems L. Dang Vu-Delcarteįeedback Equivalence of Nonlinear Control Systems: A Survey on Formal Approach W. Normal Forms and Bifurcations of Vector Fields C. Tools for Ordinary Differential Equations Analysis W. It serves as a platform for developing more robust, autonomous, intelligent, and adaptive systems.īifurcation and Chaos in Discrete Models: An Introductory Survey C. The final section explores applications in wireless transmission, optics, power electronics, and cryptography.Ĭhaos in Automatic Control distills the latest thinking in chaos while relating it to the most recent developments and applications in control. 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 next section explores solutions to problems arising in observation and control of closed-loop chaotic control systems. It includes an introductory chapter by Christian Mira, a pioneer in chaos research. The first section builds a background in the mathematics of ordinary differential and difference equations on which the remainder of the book is based. Presented in three parts, the book examines open-loop analysis, closed-loop control, and applications of chaos in control systems. This book supplies the theoretical and pedagogical basis of chaos in control systems along with new concepts and recent developments in the field. Chaos in Automatic Control surveys the latest methods for inserting, taking advantage of, or removing chaos in a variety of applications. 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. For both formats the functionality available will depend on how you access the ebook (via Bookshelf Online in your browser or via the Bookshelf app on your PC or mobile device).Ĭhaotic behavior arises in a variety of control settings.
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