Symbolic Methods in Control System Analysis and Design (Control, Robotics and Sensors)

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Symbolic Methods in Control System Analysis and Design (Control, Robotics and Sensors)

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  • 製本 Hardcover:ハードカバー版／ページ数 412 p.
  • 言語 ENG
  • 商品コード 9780852969434
  • DDC分類 629.8312

Full Description

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.

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