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© 2014

Robust Control of Uncertain Dynamic Systems

A Linear State Space Approach

Benefits

  • Presents and formulates the robustness problem in a linear state space model framework

  • Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering

  • Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches

Textbook

Table of contents

  1. Front Matter
    Pages i-xv
  2. Rama K. Yedavalli
    Pages 1-12
  3. Rama K. Yedavalli
    Pages 145-162
  4. Rama K. Yedavalli
    Pages 163-189
  5. Back Matter
    Pages 191-204

About this book

Introduction

This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach.

This book also:

Presents and formulates the robustness problem in a linear state space model framework

Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering

Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches

Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.

Authors and affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringOhio State UniversityColumbusUSA

About the authors

Professor Yedavalli has been teaching the robust control course at Ohio State for many years. Having not found a text that meets his needs, he developed his own course notes. The course in robust control is offered at the first year graduate level at universities with a graduate level engineering program. Professor Yedavalli believes that there is a need for a book that concentrates on the time domain state space approach and uses quadratic stability (lyapunov based) methodology. The books currently available take a frequency domain (transfer function based) approaches such as H-infinity and Mu synthesis.

Bibliographic information

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Reviews

From the book reviews:

“This book is a concise, clear and well-organized masterpiece on robust control theory for linear systems with parameter-uncertainty. … as a textbook for understanding the basic concepts and state-space methodologies about robust control, this book is one of the best ones I have ever read.” (Yun Zou, Mathematical Reviews, November, 2014)