Nonlinear Model Predictive Control: Theory and Algorithms

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Nonlinear model predictive control (NMPC) is widely used in the process and chemical industries and increasingly for applications, such as those in the automotive industry, which use higher data sampling rates.

Nonlinear Model Predictive Control is a thorough and rigorous introduction to NMPC for discrete-time and sampled-data systems. NMPC is interpreted as an approximation of infinite-horizon optimal control so that important properties like closed-loop stability, inverse optimality and suboptimality can be derived in a uniform manner. These results are complemented by discussions of feasibility and robustness. NMPC schemes with and without stabilizing terminal constraints are detailed and intuitive examples illustrate the performance of different NMPC variants. An introduction to nonlinear optimal control algorithms gives insight into how the nonlinear optimisation routine – the core of any NMPC controller – works. An appendix covering NMPC software and accompanying software in MATLAB® and C++(downloadable from http://www.nmpc-book.com/ ) enables readers to perform computer experiments exploring the possibilities and limitations of NMPC.

Nonlinear Model Predictive Control is primarily aimed at academic researchers and practitioners working in control and optimisation but the text is self-contained featuring background material on infinite-horizon optimal control and Lyapunov stability theory which makes the book accessible to graduate students of control engineering and applied mathematics..

Author(s): Lars Grüne, Jürgen Pannek (auth.)
Series: Communications and Control Engineering
Edition: 1
Publisher: Springer-Verlag London
Year: 2011

Language: English
Pages: 360
Tags: Control; Systems Theory, Control; Industrial Chemistry/Chemical Engineering; Automotive Engineering

Front Matter....Pages I-XI
Introduction....Pages 1-11
Discrete Time and Sampled Data Systems....Pages 13-41
Nonlinear Model Predictive Control....Pages 43-66
Infinite Horizon Optimal Control....Pages 67-85
Stability and Suboptimality Using Stabilizing Constraints....Pages 87-112
Stability and Suboptimality Without Stabilizing Constraints....Pages 113-163
Variants and Extensions....Pages 165-210
Feasibility and Robustness....Pages 211-250
Numerical Discretization....Pages 251-273
Numerical Optimal Control of Nonlinear Systems....Pages 275-339
Back Matter....Pages 341-359