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Constructive Nonlinear Control

Author : R. Sepulchre
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 31,78 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1447109678

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Constructive Nonlinear Control presents a broad repertoire of constructive nonlinear designs not available in other works by widening the class of systems and design tools. Several streams of nonlinear control theory are merged and directed towards a constructive solution of the feedback stabilization problem. Analysis, geometric and asymptotic concepts are assembled as design tools for a wide variety of nonlinear phenomena and structures. Geometry serves as a guide for the construction of design procedures whilst analysis provides the robustness which geometry lacks. New recursive designs remove earlier restrictions on feedback passivation. Recursive Lyapunov designs for feedback, feedforward and interlaced structures result in feedback systems with optimality properties and stability margins. The design-oriented approach will make this work a valuable tool for all those who have an interest in control theory.

Towards Constructive Nonlinear Control Systems Analysis and Design

Author : Mario Sassano
Publisher :
Page : pages
File Size : 32,37 MB
Release : 2012
Category :
ISBN :

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This work presents a novel method to solve analysis and design problems for nonlinear control systems, the classical solutions of which rely on the solvability, or on the solution itself, of partial differential equations or inequalities. The first part of the thesis is dedicated to the analysis of nonlinear systems. The notion of Dynamic Lyapunov function is introduced. These functions allow to study stability properties of equilibrium points, similarly to standard Lyapunov functions. In the former, however, a positive definite function is combined with a dynamical system that render Dynamic Lyapunov functions easier to construct than Lyapunov functions. These ideas are then extended to characterize Dynamic Controllability and Observability functions, which are exploited in the model reduction problem for nonlinear systems. Constructive solutions to the L2-disturbance attenuation and the optimal control problems are proposed in the second part of the thesis. The key aspect of these solutions is the definition of Dynamic Value functions that, generalizing Dynamic Lyapunov functions, consist of a dynamical feedback and a positive definite function. In the last part of the thesis a similar approach is utilized to simplify the observer design problem via the Immersion and Invariance technique. Finally, the effectiveness of the methodologies is illustrated by means of several applications, including range estimation and the optimal robust control of mechanical systems, combustion engine test benches and the air path of a diesel engine.

Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems

Author : Thomas Meurer
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 17,86 MB
Release : 2005-09-19
Category : Technology & Engineering
ISBN : 9783540279389

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This volume presents a well balanced combination of state-of-the-art theoretical results in the field of nonlinear controller and observer design, combined with industrial applications stemming from mechatronics, electrical, (bio–) chemical engineering, and fluid dynamics. The unique combination of results of finite as well as infinite–dimensional systems makes this book a remarkable contribution addressing postgraduates, researchers, and engineers both at universities and in industry. The contributions to this book were presented at the Symposium on Nonlinear Control and Observer Design: From Theory to Applications (SYNCOD), held September 15–16, 2005, at the University of Stuttgart, Germany. The conference and this book are dedicated to the 65th birthday of Prof. Dr.–Ing. Dr.h.c. Michael Zeitz to honor his life – long research and contributions on the fields of nonlinear control and observer design.

Constructive Nonlinear Control

Author :
Publisher :
Page : 0 pages
File Size : 12,21 MB
Release : 2003
Category :
ISBN :

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During this grant period, we have enhanced robustness of our designs and thus increased their ability to accommodate disturbances and unmodeled dynamics. We have also broadened the class of systems to which these methods are applicable. In a different direction, we have developed structure specific methods to analyze boundedness properties of systems with "stiffening" nonlinearities, as in micro-electromechanical probes. A major advance has been made on difficult output feedback problem with a novel nonlinear observer design, achieving robustness to modeling errors. Explicit necessary and sufficient conditions have been derived for coordinated passivation designs. A new maneuvering design has been developed. Further progress was made in MIMO adaptive control. We now briefly summarize our main results.

Model-Based Tracking Control of Nonlinear Systems

Author : Elzbieta Jarzebowska
Publisher : CRC Press
Page : 316 pages
File Size : 10,20 MB
Release : 2016-04-19
Category : Mathematics
ISBN : 1439819823

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Model-Based Control of Nonlinear Systems presents model-based control techniques for nonlinear, constrained systems. It covers constructive control design methods with an emphasis on modeling constrained systems, generating dynamic control models, and designing tracking control algorithms for the models.The book's interdisciplinary approach illustr

Self-Organized Biological Dynamics and Nonlinear Control

Author : Jan Walleczek
Publisher : Cambridge University Press
Page : 444 pages
File Size : 32,73 MB
Release : 2006-04-20
Category : Science
ISBN : 1139427598

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The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.

Nonlinear Control Systems II

Author : Alberto Isidori
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 42,44 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1447105494

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This eagerly awaited follow-up to Nonlinear Control Systems incorporates recent advances in the design of feedback laws, for the purpose of globally stabilizing nonlinear systems via state or output feedback. The author is one of the most prominent researchers in the field.

Formal Methods for Control of Nonlinear Systems

Author : Yinan Li
Publisher : CRC Press
Page : 276 pages
File Size : 30,35 MB
Release : 2022-12-15
Category : Mathematics
ISBN : 1000831949

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Formal methods is a field of computer science that emphasizes the use of rigorous mathematical techniques for verification and design of hardware and software systems. Analysis and design of nonlinear control design plays an important role across many disciplines of engineering and applied sciences, ranging from the control of an aircraft engine to the design of genetic circuits in synthetic biology. While linear control is a well-established subject, analysis and design of nonlinear control systems remains a challenging topic due to some of the fundamental difficulties caused by nonlinearity. Formal Methods for Control of Nonlinear Systems provides a unified computational approach to analysis and design of nonlinear systems. Features Constructive approach to nonlinear control. Rigorous specifications and validated computation. Suitable for graduate students and researchers who are interested in learning how formal methods and validated computation can be combined together to tackle nonlinear control problems with complex specifications from an algorithmic perspective. Combines mathematical rigor with practical applications.