Modern control system theory

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Francesco Bullo, Andrew D. Lewis

"The primary emphasis of this book is the modeling, analysis, and control of mechanical systems. The methods and results presented can be applied to a large class of mechanical control systems, including applications in robotics, autonomous vehicle control, and multi-body systems. The book presents a unified, rather than an inclusive, treatment of control theory for mechanical systems. A distinctive feature of the presentation is its reliance on techniques from differential and Riemannian geometry. The book contains extensive examples and exercises, and will be suitable for a growing number of courses in this area." "Nonlinear control theoreticians will find explicit links between concepts in geometric mechanics and nonlinear control theory. Researchers in mechanics will find an overview of topics in control theory that have relevance to mechanics."--Jacket.

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V.I. Elkin

This monograph is devoted to methods of reduction of nonlinear control systems to a simpler form: for example, decomposition into systems of lesser dimension. The approach centres on the immersion of control systems into some differential geometric category. Within the framework of this category the reduction of control systems becomes a reduction to isomorphic objects, quotient objects, and subobjects. The theory of reduction of nonlinear control systems discussed here outlines the elements of the general theory of such systems, which is of necessity purely differential geometric by nature. Audience: This book will be of interest to graduate students as well as to researchers who wish to gain insight into the modern differential geometric theory of nonlinear control systems.

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Fritz Colonius, Wolfgang Kliemann

The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail. The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems. Topics and Features: * complete coverage of unified theory of control flows * wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers * relevant motivation and a listing of important definitions and results at the beginning of each chapter * a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton-Jacobi-Belman equations * discussion of numerical methods This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications.

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Jules Pretty

Our agricultural and food systems are not meeting everyone's needs, and despite great progress in increasing productivity over the past century, hundreds of millions of people remain hungry and malnourished. This book describes a different form of agriculture: one founded more on ecological principles and which is also more harmonious with people, their societies and cultures. Edited by the world's leading expert on sustainable agriculture, this volume brings together the most influential scholarship in the field. The book maps out the complex subject area of sustainable agriculture and introduces and explains key and hard-to-find literature. It covers theoretical developments and critical appraisals of evidence, addressing what is not sustainable about current or past agricultural and food systems, as well as studies of transitions towards agricultural and rural sustainability at farm, community, regional, national and international levels, and through food supply chains. This highly accessible one-of-a-kind collection is the essential student and practitioner reference text in sustainable agriculture.