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Book

Discrete-Time Inverse Optimal Control for Nonlinear Systems

Book

Discrete-Time Inverse Optimal Control for Nonlinear Systems

DOI link for Discrete-Time Inverse Optimal Control for Nonlinear Systems

Discrete-Time Inverse Optimal Control for Nonlinear Systems book

Discrete-Time Inverse Optimal Control for Nonlinear Systems

DOI link for Discrete-Time Inverse Optimal Control for Nonlinear Systems

Discrete-Time Inverse Optimal Control for Nonlinear Systems book

ByEdgar N. Sanchez, Fernando Ornelas-Tellez
Edition 1st Edition
First Published 2013
eBook Published 31 January 2017
Pub. Location Boca Raton
Imprint CRC Press
DOI https://doi.org/10.1201/b14779
Pages 268
eBook ISBN 9781315215914
Subjects Engineering & Technology
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Sanchez, E.N., & Ornelas-Tellez, F. (2013). Discrete-Time Inverse Optimal Control for Nonlinear Systems (1st ed.). CRC Press. https://doi.org/10.1201/b14779

ABSTRACT

Discrete-Time Inverse Optimal Control for Nonlinear Systems proposes a novel inverse optimal control scheme for stabilization and trajectory tracking of discrete-time nonlinear systems. This avoids the need to solve the associated Hamilton-Jacobi-Bellman equation and minimizes a cost functional, resulting in a more efficient controller.

Design More Efficient Controllers for Stabilization and Trajectory Tracking of Discrete-Time Nonlinear Systems

The book presents two approaches for controller synthesis: the first based on passivity theory and the second on a control Lyapunov function (CLF). The synthesized discrete-time optimal controller can be directly implemented in real-time systems. The book also proposes the use of recurrent neural networks to model discrete-time nonlinear systems. Combined with the inverse optimal control approach, such models constitute a powerful tool to deal with uncertainties such as unmodeled dynamics and disturbances.

Learn from Simulations and an In-Depth Case Study

The authors include a variety of simulations to illustrate the effectiveness of the synthesized controllers for stabilization and trajectory tracking of discrete-time nonlinear systems. An in-depth case study applies the control schemes to glycemic control in patients with type 1 diabetes mellitus, to calculate the adequate insulin delivery rate required to prevent hyperglycemia and hypoglycemia levels.

The discrete-time optimal and robust control techniques proposed can be used in a range of industrial applications, from aerospace and energy to biomedical and electromechanical systems. Highlighting optimal and efficient control algorithms, this is a valuable resource for researchers, engineers, and students working in nonlinear system control.

TABLE OF CONTENTS

chapter 1|8 pages

Introduction

chapter 2|26 pages

Mathematical Preliminaries

chapter 3|31 pages

Inverse Optimal Control: A Passivity Approach

chapter 4|41 pages

Inverse Optimal Control: A CLF Approach, Part I

chapter 5|34 pages

Inverse Optimal Control: A CLF Approach, Part II

chapter 6|29 pages

Neural Inverse Optimal Control

chapter 7|26 pages

Glycemic Control of Type 1 Diabetes Mellitus Patients

chapter 8|3 pages

Conclusions

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