Linear Optimal Control
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| Author | : Brian D. O. Anderson |
| Publisher | : Courier Corporation |
| Total Pages | : 465 |
| Release | : 2007-02-27 |
| Genre | : Technology & Engineering |
| ISBN | : 0486457664 |
Numerous examples highlight this treatment of the use of linear quadratic Gaussian methods for control system design. It explores linear optimal control theory from an engineering viewpoint, with illustrations of practical applications. Key topics include loop-recovery techniques, frequency shaping, and controller reduction. Numerous examples and complete solutions. 1990 edition.
| Author | : Huibert Kwakernaak |
| Publisher | : Wiley-Interscience |
| Total Pages | : 630 |
| Release | : 1972-11-10 |
| Genre | : Science |
| ISBN | : |
"This book attempts to reconcile modern linear control theory with classical control theory. One of the major concerns of this text is to present design methods, employing modern techniques, for obtaining control systems that stand up to the requirements that have been so well developed in the classical expositions of control theory. Therefore, among other things, an entire chapter is devoted to a description of the analysis of control systems, mostly following the classical lines of thought. In the later chapters of the book, in which modern synthesis methods are developed, the chapter on analysis is recurrently referred to. Furthermore, special attention is paid to subjects that are standard in classical control theory but are frequently overlooked in modern treatments, such as nonzero set point control systems, tracking systems, and control systems that have to cope with constant disturbances. Also, heavy emphasis is placed upon the stochastic nature of control problems because the stochastic aspects are so essential." --Preface.
| Author | : Brian D. O. Anderson |
| Publisher | : Prentice Hall |
| Total Pages | : 399 |
| Release | : 1971 |
| Genre | : Commande, Théorie de la |
| ISBN | : 9780135368701 |
| Author | : Francesco Borrelli |
| Publisher | : Springer |
| Total Pages | : 206 |
| Release | : 2003-09-04 |
| Genre | : Mathematics |
| ISBN | : 3540362258 |
Many practical control problems are dominated by characteristics such as state, input and operational constraints, alternations between different operating regimes, and the interaction of continuous-time and discrete event systems. At present no methodology is available to design controllers in a systematic manner for such systems. This book introduces a new design theory for controllers for such constrained and switching dynamical systems and leads to algorithms that systematically solve control synthesis problems. The first part is a self-contained introduction to multiparametric programming, which is the main technique used to study and compute state feedback optimal control laws. The book's main objective is to derive properties of the state feedback solution, as well as to obtain algorithms to compute it efficiently. The focus is on constrained linear systems and constrained linear hybrid systems. The applicability of the theory is demonstrated through two experimental case studies: a mechanical laboratory process and a traction control system developed jointly with the Ford Motor Company in Michigan.
| Author | : Jingrui Sun |
| Publisher | : Springer Nature |
| Total Pages | : 129 |
| Release | : 2020-06-29 |
| Genre | : Mathematics |
| ISBN | : 3030209229 |
This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. It presents the results in the context of finite and infinite horizon problems, and discusses a number of new and interesting issues. Further, it precisely identifies, for the first time, the interconnections between three well-known, relevant issues – the existence of optimal controls, solvability of the optimality system, and solvability of the associated Riccati equation. Although the content is largely self-contained, readers should have a basic grasp of linear algebra, functional analysis and stochastic ordinary differential equations. The book is mainly intended for senior undergraduate and graduate students majoring in applied mathematics who are interested in stochastic control theory. However, it will also appeal to researchers in other related areas, such as engineering, management, finance/economics and the social sciences.
| Author | : B.M. Mohan |
| Publisher | : CRC Press |
| Total Pages | : 250 |
| Release | : 2012-10-24 |
| Genre | : Technology & Engineering |
| ISBN | : 1466517298 |
Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minimize the cost functional. This book, Continuous Time Dynamical Systems: State Estimation and Optimal Control with Orthogonal Functions, considers different classes of systems with quadratic performance criteria. It then attempts to find the optimal control law for each class of systems using orthogonal functions that can optimize the given performance criteria. Illustrated throughout with detailed examples, the book covers topics including: Block-pulse functions and shifted Legendre polynomials State estimation of linear time-invariant systems Linear optimal control systems incorporating observers Optimal control of systems described by integro-differential equations Linear-quadratic-Gaussian control Optimal control of singular systems Optimal control of time-delay systems with and without reverse time terms Optimal control of second-order nonlinear systems Hierarchical control of linear time-invariant and time-varying systems
| Author | : Frank L. Lewis |
| Publisher | : John Wiley & Sons |
| Total Pages | : 552 |
| Release | : 2012-02-01 |
| Genre | : Technology & Engineering |
| ISBN | : 0470633492 |
A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control
| Author | : Donald E. Kirk |
| Publisher | : Courier Corporation |
| Total Pages | : 466 |
| Release | : 2012-04-26 |
| Genre | : Technology & Engineering |
| ISBN | : 0486135071 |
Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.
| Author | : Jason L. Speyer |
| Publisher | : SIAM |
| Total Pages | : 316 |
| Release | : 2010-05-13 |
| Genre | : Mathematics |
| ISBN | : 0898716942 |
A rigorous introduction to optimal control theory, which will enable engineers and scientists to put the theory into practice.
| Author | : Leonard David Berkovitz |
| Publisher | : CRC Press |
| Total Pages | : 394 |
| Release | : 2012-08-25 |
| Genre | : Mathematics |
| ISBN | : 1466560266 |
Nonlinear Optimal Control Theory presents a deep, wide-ranging introduction to the mathematical theory of the optimal control of processes governed by ordinary differential equations and certain types of differential equations with memory. Many examples illustrate the mathematical issues that need to be addressed when using optimal control techniques in diverse areas. Drawing on classroom-tested material from Purdue University and North Carolina State University, the book gives a unified account of bounded state problems governed by ordinary, integrodifferential, and delay systems. It also discusses Hamilton-Jacobi theory. By providing a sufficient and rigorous treatment of finite dimensional control problems, the book equips readers with the foundation to deal with other types of control problems, such as those governed by stochastic differential equations, partial differential equations, and differential games.
