Book description
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
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- List of Figures
- List of Tables
- Preface
- Acknowledgments
- Authors
- Notations and Acronyms
- Chapter 1 Introduction
- Chapter 2 Mathematical Preliminaries
- Chapter 3 Inverse Optimal Control: A Passivity Approach
- Chapter 4 Inverse Optimal Control: A CLF Approach, Part I
- Chapter 5 Inverse Optimal Control: A CLF Approach, Part II
- Chapter 6 Neural Inverse Optimal Control
- Chapter 7 Glycemic Control of Type 1 Diabetes Mellitus Patients
- Chapter 8 Conclusions
- References
- Index
Product information
- Title: Discrete-Time Inverse Optimal Control for Nonlinear Systems
- Author(s):
- Release date: December 2017
- Publisher(s): CRC Press
- ISBN: 9781351831802
You might also like
book
Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations
A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, …
book
Adaptive Learning Methods for Nonlinear System Modeling
Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms …
book
Advances in High-Performance Motion Control of Mechatronic Systems
Mechatronic systems are used in a range of consumer products from large-scale braking systems in vehicular …
book
Multi-physics Modeling of Technological Systems
The development of mechatronic and multidomain technological systems requires the dynamic behavior to be simulated before …