1st Edition

Discrete-Time Inverse Optimal Control for Nonlinear Systems

268 Pages 10 Color & 70 B/W Illustrations
by CRC Press

268 Pages 10 Color & 70 B/W Illustrations
by CRC Press

268 Pages 10 Color & 70 B/W Illustrations
by CRC Press

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... Read more

Introduction
Inverse Optimal Control via Passivity
Inverse Optimal Control via CLF
Neural Inverse Optimal Control
Motivation

Mathematical Preliminaries
Optimal Control
Lyapunov Stability
Robust Stability Analysis
Passivity
Neural Identification

Inverse Optimal Control: A Passivity Approach
Inverse Optimal Control via Passivity
Trajectory Tracking
Passivity-based Inverse Optimal Control for a Class of Nonlinear Positive Systems
Conclusions

Inverse Optimal Control: A CLF Approach, Part I
Inverse Optimal Control via CLF

Robust Inverse Optimal Control
Trajectory Tracking Inverse Optimal Control
CLF-based Inverse Optimal Control for a Class of Nonlinear Positive Systems
Conclusions

Inverse Optimal Control: A CLF Approach, Part II
Speed-Gradient Algorithm for the Inverse Optimal Control
Speed-Gradient Algorithm for Trajectory Tracking
Trajectory Tracking for Systems in Block-Control Form
Conclusions

Neural Inverse Optimal Control
Neural Inverse Optimal Control Scheme
Block-Control Form: A Nonlinear Systems Particular Class

Conclusions

Glycemic Control of Type 1 Diabetes Mellitus Patients
Introduction
Passivity Approach
CLF Approach
Conclusions

Conclusions

References

Biography

Edgar N. Sanchez is a researcher at CINVESTAV-IPN, Guadalajara Campus, Mexico. He was granted a U.S. National Research Council Award as a research associate at NASA Langley Research Center (January 1985-March 1987). He is also a member of the Mexican National Research System (promoted to the highest rank, III, in 2005), the Mexican Academy of Science, and the Mexican Academy of Engineering. He has published more than 100 technical papers in international journals and conferences, and has served as reviewer for various international journals and conferences. His research interest centers on neural networks and fuzzy logic as applied to automatic control systems.

Fernando Ornelas-Tellez is currently a professor of electrical engineering at Michoacan University of Saint Nicholas of Hidalgo, Mexico. His research interests center on neural control, direct and inverse optimal control, passivity and their applications to biomedical systems, electrical machines, power electronics, and robotics.