Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.
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Designed for one-semester introductory senior-or graduate-level course, the authors provide the student with an introduction of analysis techniques used in the design of nonlinear and optimal feedback control systems. There is special emphasis on the fundamental topics of stability, controllability, and optimality, and on the corresponding geometry associated with these topics. Each chapter contains several examples and a variety of exercises.
From the Back Cover
Nonlinear and Optimal Control Systems offers a self-contained introduction to analysis techniques used in the design of nonlinear and optimal feedback control systems, with a solid emphasis on the fundamental topics of stability, controllability, optimality, and the corresponding geometry. The book develops and presents these key subjects in a unified fashion. An integrated approach is used to develop stability theory, function minimizing feedback controls, optimal controls, and differential game theory.
Starting with a background on differential equations, this accessible text examines nonlinear dynamical systems and nonlinear control systems, including basic results in nonlinear parameter optimization and parametric two-player games. Lyapunov stability theory and control system design are discussed in detail, followed by in-depth coverage of the controllability minimum principle and other important controllability concepts. The optimal control (Pontryagin's) minimum principle is developed and then applied to optimal control problems and the design of optimal controllers.
Nonlinear and Optimal Control Systems features examples and exercises taken from a wide range of disciplines and contexts--from engineering control designs to biological, economic, and other systems. Numerical algorithms are provided for solving problems in optimization and control, as well as simulation of systems using nonlinear differential equations. Readers may choose to develop their own code from these algorithms or solve problems with the help of commercial software programs.
Providing readers with a sturdy foundation in nonlinear and optimal control system design and application, this new resource is a valuable asset to advanced students and professional engineers in many different fields.
An integrated approach to the fundamentals of nonlinear and optimal control systems. This self-contained text provides a solid introduction to the analysis techniques used in the design of nonlinear and optimal feedback control systems. Building on thorough coverage of the basic concepts of stability, controllability, and optimality, the book develops highly effective feedback controllers for stability, function minimizing control, optimal control, and two-player differential games.
Concepts are illustrated throughout with examples that represent a range of disciplines and design contexts, bridging theory and application for advanced students and practicing engineers in many different fields. The book features:
* An accessible introduction to nonlinear system dynamics
* Lyapunov stability theory and control system design
* Controllability of nonlinear systems, including in-depth treatment of the controllability minimum principle and Pontryagin's minimum principle
* Optimal control systems and design using Pontryagin's minimum principle
* Differential games and design concepts--qualitative and quantitative games, Isaacs' min-max principle, and more
* Numerical algorithms for control, optimization, and simulation of nonlinear dynamical systems
Starting with a background on differential equations, this accessible text examines nonlinear dynamical systems and nonlinear control systems, including basic results in nonlinear parameter optimization and parametric two-player games. Lyapunov stability theory and control system design are discussed in detail, followed by in-depth coverage of the controllability minimum principle and other important controllability concepts. The optimal control (Pontryagin's) minimum principle is developed and then applied to optimal control problems and the design of optimal controllers.
Nonlinear and Optimal Control Systems features examples and exercises taken from a wide range of disciplines and contexts--from engineering control designs to biological, economic, and other systems. Numerical algorithms are provided for solving problems in optimization and control, as well as simulation of systems using nonlinear differential equations. Readers may choose to develop their own code from these algorithms or solve problems with the help of commercial software programs.
Providing readers with a sturdy foundation in nonlinear and optimal control system design and application, this new resource is a valuable asset to advanced students and professional engineers in many different fields.
An integrated approach to the fundamentals of nonlinear and optimal control systems. This self-contained text provides a solid introduction to the analysis techniques used in the design of nonlinear and optimal feedback control systems. Building on thorough coverage of the basic concepts of stability, controllability, and optimality, the book develops highly effective feedback controllers for stability, function minimizing control, optimal control, and two-player differential games.
Concepts are illustrated throughout with examples that represent a range of disciplines and design contexts, bridging theory and application for advanced students and practicing engineers in many different fields. The book features:
* An accessible introduction to nonlinear system dynamics
* Lyapunov stability theory and control system design
* Controllability of nonlinear systems, including in-depth treatment of the controllability minimum principle and Pontryagin's minimum principle
* Optimal control systems and design using Pontryagin's minimum principle
* Differential games and design concepts--qualitative and quantitative games, Isaacs' min-max principle, and more
* Numerical algorithms for control, optimization, and simulation of nonlinear dynamical systems
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Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
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First Sentence:
In this text we consider nonlinear dynamical control systems of the form , where x is the dimensional state vector, u is the nu-dimensional control vector input (to be chosen), and denotes differentiation with respect to time t. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
playable set, trajectory following algorithm, controllability boundary, controllable set, trajectory following method, abnormal arcs, controllability boundaries, state perturbation equations, variable feedback control law, linearized inverted pendulum, state variable feedback controller, missile guidance problem, eigenvector trajectory, worst piecewise continuous, control constraint set, augmented trajectory, optimal return function, state constraint boundary, integrating the system equations, admissible control law, descent controller, dispersal surface, nonzero time interval, terminal transversality conditions, switching surface Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Automatic Control, Academic Press, Englewood Cliffs, Challenging Problem, Cambridge University Press, Lecture Notes, Princeton University Press, Use Lyapunov, Washington State University New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
In this text we consider nonlinear dynamical control systems of the form , where x is the dimensional state vector, u is the nu-dimensional control vector input (to be chosen), and denotes differentiation with respect to time t. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
playable set, trajectory following algorithm, controllability boundary, controllable set, trajectory following method, abnormal arcs, controllability boundaries, state perturbation equations, variable feedback control law, linearized inverted pendulum, state variable feedback controller, missile guidance problem, eigenvector trajectory, worst piecewise continuous, control constraint set, augmented trajectory, optimal return function, state constraint boundary, integrating the system equations, admissible control law, descent controller, dispersal surface, nonzero time interval, terminal transversality conditions, switching surface Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Automatic Control, Academic Press, Englewood Cliffs, Challenging Problem, Cambridge University Press, Lecture Notes, Princeton University Press, Use Lyapunov, Washington State University New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Front Flap | Table of Contents | First Pages | Index | Back Flap | Back Cover | Surprise Me!
Citations (learn more)
This book cites 57
books:
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9
books
cite this book:
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- The Calculus of Variations and Optimal Control (Mathematical Concepts and Methods in Science and Engineering) by George Leitmann on page 546, and page 547
- Calculus of Variations (Carus Monograph) by Gilbert Ames Bliss on page 156, and page 544
- Optimal Control, 2nd Edition by Frank L. Lewis on page 544
- Digital Control Systems (The Oxford Series in Electrical and Computer Engineering) by Benjamin C. Kuo on page 547
- Engineering Optimization: methods and applications by A. Ravindran on page 549
See all 57 books this book cites
- Progress in Optimization: Contributions from Australasia by Xiao-qi Yang on page 254
- Control Perspectives on Numerical Algorithms And Matrix Problems (Advances in Design and Control) by Amit Bhaya in Back Matter
- Optimal Protection from Impact, Shock and Vibration by Dimitry V Balandin in Back Matter
- Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by Thomas L. Vincent in Back Matter
- Membrane Computing: 6th International Workshop, WMC 2005, Vienna, Austria, July 18-21, 2005, Revised Selected and Invited Papers (Lecture Notes in ... Computer Science and General Issues) by Rudolph Freund on page 208
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