This monograph presents the fundamentals of global stabilization and optimal control of nonlinear systems with uncertain models. It offers a unified view of deterministic disturbance attenuation, stochastic control, and adaptive control for nonlinear systems. The book addresses a large audience of researchers, students, engineers and mathematicians in the areas of robust and adaptive nonlinear control, nonlinear H... stochastic nonlinear control (including risk-sensitive), and other related areas of control an d dynamical systems theory.
Focusing on input-to-state stability (ISS) for partial differential equations, this book introduces novel tools specifically designed for parabolic and hyperbolic classes. It establishes a comprehensive framework for analyzing these equations, enhancing the understanding of stability in a mathematical context. The work is essential for researchers and practitioners in the field, providing critical insights and methodologies for tackling complex PDEs.
"Unique and excellent, this book systematically and rigorously develops design and analysis tools and clearly explains technical concepts. As the first book to cover its topics, it significantly expands the scope of adaptive control knowledge. I strongly recommend this book as either a reference or an advanced textbook for researchers and graduate students who study and work in engineering and applied sciences."--Gang Tao, University of Virginia
Focusing on the intersection of control theory and fluid mechanics, this research monograph addresses the challenges of flow control, particularly in turbulent flows, which remain a significant unsolved problem in physics. The excitement surrounding this field is fueled by advancements in micro-electro-mechanical systems (MEMS) that allow for precise instrumentation of fluid dynamics. The book uniquely emphasizes the need for control algorithms that provide provable performance guarantees, making it a pioneering work in systematic feedback design for fluid flows.
Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. It is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Replete with examples, Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.
