Constrained Optimal Control Of Linear And Hybrid Systems
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| 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 | : Francesco Borrelli |
| Publisher | : Cambridge University Press |
| Total Pages | : 447 |
| Release | : 2017-06-22 |
| Genre | : Mathematics |
| ISBN | : 1107016886 |
With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).
| Author | : Jan Lunze |
| Publisher | : Cambridge University Press |
| Total Pages | : 583 |
| Release | : 2009-10-15 |
| Genre | : Computers |
| ISBN | : 0521765056 |
Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.
| Author | : Daniel Liberzon |
| Publisher | : Princeton University Press |
| Total Pages | : 255 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0691151873 |
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
| Author | : Eduardo F. Camacho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 250 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1447130081 |
Model Predictive Control is an important technique used in the process control industries. It has developed considerably in the last few years, because it is the most general way of posing the process control problem in the time domain. The Model Predictive Control formulation integrates optimal control, stochastic control, control of processes with dead time, multivariable control and future references. The finite control horizon makes it possible to handle constraints and non linear processes in general which are frequently found in industry. Focusing on implementation issues for Model Predictive Controllers in industry, it fills the gap between the empirical way practitioners use control algorithms and the sometimes abstractly formulated techniques developed by researchers. The text is firmly based on material from lectures given to senior undergraduate and graduate students and articles written by the authors.
| 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 | : Peter Whittle |
| Publisher | : |
| Total Pages | : 266 |
| Release | : 1990-05-11 |
| Genre | : Mathematics |
| ISBN | : |
The two major themes of this book are risk-sensitive control and path-integral or Hamiltonian formulation. It covers risk-sensitive certainty-equivalence principles, the consequent extension of the conventional LQG treatment and the path-integral formulation.
| Author | : Rafal Goebel |
| Publisher | : Princeton University Press |
| Total Pages | : 227 |
| Release | : 2012-03-18 |
| Genre | : Mathematics |
| ISBN | : 1400842638 |
Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.
| Author | : Fiacco |
| Publisher | : Academic Press |
| Total Pages | : 381 |
| Release | : 1983-11-02 |
| Genre | : Computers |
| ISBN | : 0080956718 |
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming
| Author | : John T. Betts |
| Publisher | : SIAM |
| Total Pages | : 442 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898716888 |
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
