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Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems PDF Author: Francesco Borrelli
Publisher: Springer
ISBN: 3540362258
Category : Mathematics
Languages : en
Pages : 206

Book Description
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.

Constrained Optimal Control of Linear and Hybrid Systems

Constrained Optimal Control of Linear and Hybrid Systems PDF Author: Francesco Borrelli
Publisher: Springer
ISBN: 3540362258
Category : Mathematics
Languages : en
Pages : 206

Book Description
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.

Predictive Control for Linear and Hybrid Systems

Predictive Control for Linear and Hybrid Systems PDF Author: Francesco Borrelli
Publisher: Cambridge University Press
ISBN: 1107016886
Category : Mathematics
Languages : en
Pages : 447

Book Description
With a simple approach that includes real-time applications and algorithms, this book covers the theory of model predictive control (MPC).

Handbook of Hybrid Systems Control

Handbook of Hybrid Systems Control PDF Author: Jan Lunze
Publisher: Cambridge University Press
ISBN: 0521765056
Category : Computers
Languages : en
Pages : 583

Book Description
Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.

Calculus of Variations and Optimal Control Theory

Calculus of Variations and Optimal Control Theory PDF Author: Daniel Liberzon
Publisher: Princeton University Press
ISBN: 0691151873
Category : Mathematics
Languages : en
Pages : 255

Book Description
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

Model Predictive Control in the Process Industry

Model Predictive Control in the Process Industry PDF Author: Eduardo F. Camacho
Publisher: Springer Science & Business Media
ISBN: 1447130081
Category : Technology & Engineering
Languages : en
Pages : 250

Book Description
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.

Optimal Control

Optimal Control PDF Author: Brian D. O. Anderson
Publisher: Courier Corporation
ISBN: 0486457664
Category : Technology & Engineering
Languages : en
Pages : 465

Book Description
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.

Risk-Sensitive Optimal Control

Risk-Sensitive Optimal Control PDF Author: Peter Whittle
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 266

Book Description
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.

Introduction to Sensitivity and Stability Analysis in Nonlinear Programming

Introduction to Sensitivity and Stability Analysis in Nonlinear Programming PDF Author: Fiacco
Publisher: Academic Press
ISBN: 0080956718
Category : Computers
Languages : en
Pages : 381

Book Description
Introduction to Sensitivity and Stability Analysis in Nonlinear Programming

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming

Practical Methods for Optimal Control and Estimation Using Nonlinear Programming PDF Author: John T. Betts
Publisher: SIAM
ISBN: 0898716888
Category : Mathematics
Languages : en
Pages : 442

Book Description
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.

Handbook of Model Predictive Control

Handbook of Model Predictive Control PDF Author: Saša V. Raković
Publisher: Springer
ISBN: 3319774891
Category : Science
Languages : en
Pages : 693

Book Description
Recent developments in model-predictive control promise remarkable opportunities for designing multi-input, multi-output control systems and improving the control of single-input, single-output systems. This volume provides a definitive survey of the latest model-predictive control methods available to engineers and scientists today. The initial set of chapters present various methods for managing uncertainty in systems, including stochastic model-predictive control. With the advent of affordable and fast computation, control engineers now need to think about using “computationally intensive controls,” so the second part of this book addresses the solution of optimization problems in “real” time for model-predictive control. The theory and applications of control theory often influence each other, so the last section of Handbook of Model Predictive Control rounds out the book with representative applications to automobiles, healthcare, robotics, and finance. The chapters in this volume will be useful to working engineers, scientists, and mathematicians, as well as students and faculty interested in the progression of control theory. Future developments in MPC will no doubt build from concepts demonstrated in this book and anyone with an interest in MPC will find fruitful information and suggestions for additional reading.