Symbolic Methods in Control System Analysis and Design

by Neil Munro

Overview

Symbolic computing has made a significant impact in the field of control engineering. This book, which brings together contributions from leading international experts in the field, provides an up-to-date treatment of various issues in system modelling, analysis, design and synthesis methods.

Coverage includes:

• the application of multidimensional Laplace transforms to the modelling of nonlinear elements
• a survey of customised computer algebra modelling programs for multibody dynamical systems
• central results for the analysis and robust control of single-input single-output linear systems using a new linear programming approach
• differential and real algebra for dealing with systems of polynomial equations and inequalities for nonlinear systems, and the computational aspects of algebraic and geometric invariants for both certain and uncertain systems
• the dynamic sliding mode approach to the robust control of both linear and nonlinear systems, and robust pole assignment for parametric uncertain linear systems
• the development and testing of a new branch-and-bound algorithm for global optimisation, using symbolic algebra techniques
• an overview and assessment of the use of symbolic computation programs in the analysis and design of control systems.

The book will be of interest to postgraduate students and researchers in control engineering.

Product Details

ISBN-13:	9780852969434
Publisher:	The Institution of Engineering and Technology
Publication date:	06/30/1999
Series:	Control, Robotics and Sensors
Pages:	412
Product dimensions:	6.14(w) x 9.21(h) x (d)

About the Author

Neil Munro (1936-2004) received his B.Sc. in electrical engineering from Strathclyde Universityin 1962, his Ph.D. from UMIST in 1969, and a D.Sc. in control engineering from the Universityof Manchester in 1983. He was appointed professor of applied control engineering at UMIST in 1979 and was head of the Control Systems Centre for over 30 years. He was chairman of SERC's Control and Instrumentation Subcommittee (1983-1985), Director of Control and Instrumentation for the SERC and DTI Joint Framework for Information Technology (1991-1992), and the National Consultant on Control and Instrumentation for EPSRC (1994-1997). Professor Munro was a Fellow of the IEE, IEEE and Institute of Measurement and Control, and a recipient of the Sir Harold Hartley Medal (1982) and the Honeywell International Medal (1997) for contributions to control engineering.

Table of Contents

• Part I: System Modelling
• Chapter 1: Symbolic modelling and analysis of nonlinear systems
• Chapter 2: Symbolic computation for manipulation of hierarchical bond graphs
• Chapter 3: A survey of customised computer algebra programs for multibody dynamic modelling
• Part II: System Analysis
• Chapter 4: Robust control under parametric uncertainty. Part I: analysis
• Chapter 5: Using differential and real algebra in control
• Chapter 6: Approximate algebraic computations of algebraic invariants
• Chapter 7: Robust stability conditions for MIMO systems with parametric uncertainty
• Part III: Design and Synthesis Methods
• Chapter 8: Robust control under parametric uncertainty. Part II: design
• Chapter 9: Dynamic sliding mode control design using symbolic algebra tools
• Chapter 10: Pole assignment for uncertain systems
• Chapter 11: Algebraic, algebrogeometric methods and symbolic computations in linear control problems
• Part IV: Nonlinear Systems
• Chapter 12: Symbolic aids for modelling, analysis and synthesis of nonlinear control systems
• Chapter 13: Symbolic methods for global optimisation
• Chapter 14: Solving strict polynomial inequalities by Bernstein expansion
• Chapter 15: Computational methods for control of dynamical systems

Editorial Reviews

'The topic of symbolic computing has been in great need of a book to provide an up-to-date treatment of the significant impact made by it in the field of control engineering. This volume fills this need in an able and instructive manner. It is good to see the valuable expertise of the contributors reflected in its pages.'

Current Engineering Practice

'This book is suitable for postgraduate students and researchers in control systems and would be particularly useful to those applying or intending to apply symbolic computation in the control area. The book covers wide range of topics and is a good source of information and references on this important and interesting topic.'

IEEE Control Systems

Fifteen contributions provide an up-to-date treatment of issues in system modeling, system analysis, design and synthesis methods, and nonlinear systems. Coverage includes the application of multidimensional Laplace transforms to the modeling of nonlinear elements, a survey of customized computer algebra modeling programs for multibody dynamical systems, robust control of linear systems using a new linear programming approach, the development and testing of a new branch-and-bound algorithm fir global optimization using symbolic algebra techniques, and dynamic sliding mode control design using symbolic algebra tools. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews