Max-Plus Methods for Nonlinear Control and Estimation

• Main Author: McEneaney, William M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Series: Systems & Control: Foundations & Applications
• Subjects: Mathematics.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Control engineering.; Robotics.; Mechatronics.; Analysis.; Applications of Mathematics.; Systems Theory, Control.; Control, Robotics, Mechatronics.; Partial Differential Equations.

The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity...

Table of Contents:

• Max-Plus Analysis
• Dynamic Programming and Viscosity Solutions
• Max-Plus Eigenvector Method for the Infinite Time-Horizon Problem
• Max-Plus Eigenvector Method Error Analysis
• A Semigroup Construction Method
• Curse-of-Dimensionality-Free Method
• Finite Time-Horizon Application: Nonlinear Filtering
• Mixed L?/L2 Criteria.