Optimal Control of Constrained Piecewise Affine Systems

• Main Author: Christophersen, Frank J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Lecture Notes in Control and Information Sciences, 359
• Subjects: Engineering.; System theory.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Systems Theory, Control.

One of the most important and challenging problems in control is the derivation of systematic tools for the computation of controllers for constrained nonlinear systems that can guarantee closed-loop stability, feasibility, and optimality with respect to some performance index. This book focuses on...

Table of Contents:

• Background
• Mathematical Necessities
• Systems and Control Theory
• Receding Horizon Control
• Piecewise Affine Systems
• Optimal Control of Constrained Piecewise Affine Systems
• Constrained Finite Time Optimal Control
• Constrained Infinite Time Optimal Control
• Analysis and Post-Processing Techniques for Piecewise Affine Systems
• Linear Vector Norms as Lyapunov Functions
• Stability Analysis
• Stability Tubes
• Efficient Evaluation of Piecewise Control Laws Defined Over a Large Number of Polyhedra.