Structured Controllers for Uncertain Systems: A Stochastic Optimization Approach

✍ Scribed by Rosario Toscano (auth.)

• Publisher: Springer-Verlag London
• Year: 2013
• Tongue: English
• Leaves: 315
• Series: Advances in Industrial Control
• Edition: 1
• Category: Library

✦ Synopsis

Structured Controllers for Uncertain Systems focuses on the development of easy-to-use design strategies for robust low-order or fixed-structure controllers (particularly the industrially ubiquitous PID controller). These strategies are based on a recently-developed stochastic optimization method termed the "Heuristic Kalman Algorithm" (HKA) the use of which results in a simplified methodology that enables the solution of the structured control problem without a profusion of user-defined parameters. An overview of the main stochastic methods employable in the context of continuous non-convex optimization problems is also provided and various optimization criteria for the design of a structured controller are considered; H

∞, H2, and mixed H2/H∞ each merits a chapter to itself. Time-domain-performance specifications can be easily incorporated in the design.

✦ Table of Contents

Front Matter....Pages I-XXIV
Introduction....Pages 1-23
Signal and System Norms....Pages 25-44
Optimization in Control Theory....Pages 45-79
Stochastic Optimization Methods....Pages 81-105
Heuristic Kalman Algorithm....Pages 107-128
Uncertain Systems and Robustness....Pages 129-162
H ∞ Design of Structured Controllers....Pages 163-198
H 2 and Mixed H 2 / H ∞ Design of Structured Controllers....Pages 199-231
Nonlinear Structured Control via the Multi-model Approach....Pages 233-274
Conclusion....Pages 275-280
Back Matter....Pages 281-298

✦ Subjects

Control; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization