Robust Control – The Parametric Approach

Download this free book in pdf format. Crucial in the analysis and design of control systems, this book presents a unified approach to robust stability theory, including both linear and nonlinear systems, and provides a self-contained and complete account of the available results in the field of robust control under parametric uncertainty.

Book Description

These results are elegant and their direct application to control system design is illustrated by numerous examples, including MATLAB software. The objective of this book is to describe the parametric theory in a self-contained manner. The book is suitable for use as a graduate textbook and also for self-study. The entire subject matter of the book is developed from the single fundamental fact that the roots of a polynomial depend continuously on its coefficients. This fact is the basis of the Boundary Crossing Theorem developed in Chapter 1 and is repeatedly used throughout the book. Surprisingly enough this simple idea, used systematically is sufficient to derive even the most mathematically sophisticated results.

Table of Contents

• Stability Theorem via the Boundary Crossing Theorem
• Stability of a Line Segment
• The Stability Ball in Coefficient Space
• The Parametric Stability Margin
• Interval Polynomials: Kharitonov’s Theorem
• The Edge Theorem
• The Generalized Kharitonov’s Theorem
• Frequency Domain Properties of Linear Interval Systems
• Robust Stability and Performance Under Mixed Perturbations
• Multilinear Interval Systems: The Mapping Theorem
• Frequency Domain Properties of Multilinear Interval Systems
• State Space Parameter Perturbations
• Robust Parametric Stabilization
• Interval Modelling, Identification and Control

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