Nonlinear Time Scale Systems in Standard and Nonstandard Forms

A new perspective on control methods is presented in this book, which broadens their application to a larger class of nonlinear dynamical systems. The aim is to equip the reader with control techniques that extend the benefits of model reduction of singular perturbation theory to engineering systems that possess interacting phenomena occurring at different speeds. New results and relevant background are presented through insightful examples that cover a wide range of applications from different branches of engineering. The book also discusses general rather than problem-specific developments in order to provide control engineers with useful analytical tools. It addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems. This text is intended for researchers and practitioners who use time scale methods to mitigate the curse of dimensionality and higher order controllers, especially in aerospace, mechanical, and electrical engineering.