Overview

Many systems can be found in nature; others are man-made. A primary component of such systems is a device or mechanism called the controller. In man-made systems, one must first design and then implement such a controller, either as a piece of hardware or as software code in a computer. The process of developing a controller can be dramatically improved if one can generate an appropriate dynamic model of the system under consideration. This study explains how to develop such controllers for system models with uncertainty. In many cases, dynamic models can be expressed in terms of linear, time-invariant equations, or transfer functions. The book presents methods for the robust design of system controllers, especially for systems with parameter uncertainty. The approach is based on the Nyquist Theorem, exploiting the properties of polynomials and polynomial value sets.

Full Product Details

Author:   Theodore E. Djaferis
Publisher:   Springer
Imprint:   Springer
Edition:   1995 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   1.280kg
ISBN:  

9780792396178

ISBN 10:   0792396170
Pages:   262
Publication Date:   31 August 1995
Audience:   College/higher education ,  Professional and scholarly ,  General/trade ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Introduction.- 1.1 The Control Problem.- 1.2 Book Outline.- 2 System Dynamics.- 2.1 System Representations.- 2.2 Feedback Configurations.- 2.3 Stability.- 2.4 Stability of Interconnected Systems.- 2.5 D-Stability.- 2.6 Performance.- 3 Stability Tests.- 3.1 Polynomial Stability.- 3.2 The Routh-Hurwitz Stability Criterion.- 3.3 The Nyquist Stability Theorem.- 3.4 The Finite Nyquist Theorem.- 4 Uncertainty and Robust Stability.- 4.1 Uncertainty in System Models.- 4.2 Robust Stability.- 4.3 Performance as Robust Polynomial Stability.- 4.4 Robust Performance as Robust Polynomial Stability.- 4.5 Value Sets of Uncertain Polynomials.- 4.6 Rectangular Value Set Overbound.- 4.7 The Need for Robust Analysis and Design Tools.- 5 Some Robust Stability Tests.- 5.1 Polynomial Family Stability.- 5.2 Zero Exclusion Condition.- 5.3 Interval Polynomials.- 5.4 Edge Theorem.- 5.5 A Finite Frequency Test.- 5.6 The Finite Matched Phase Theorem.- 5.7 Simultaneous Polynomial Stability.- 6 The Finite Inclusions Theorem.- 6.1 Robust D-Stability.- 6.2 A Finite Number of Polynomial Families.- 6.3 Application of FIT to Robust Analysis.- 6.4 Relationship with Simultaneous Polynomial Stability.- 7 Fit Based D-Stabilization.- 7.1 FIT for Synthesis.- 7.2 FIT Based Algorithm for D-Stabilization.- 7.3 Example 1: Mass-Spring-Mass System.- 7.4 Example 2: Automatic Bus Steering System.- 7.5 Example 3: A FIT Software Package.- 7.6 Simultaneous Plant Family Stabilization.- 7.7 An SSFIT Software Package.- 7.8 Other SSFIT Synthesis Algorithms.- 8 Fit Synthesis for Robust Performance.- 8.1 Robust Performance Synthesis as Robust Polynomial Stabilization.- 8.2 A FIT based Robust Performance Synthesis Algorithm.- 8.3 Example: FIT Robust Performance Synthesis.- 9 Fit Synthesis for Robust Multiobjective Performance.- 9.1 Robust Performance Synthesis as Simultaneous Polynomial Family Stabilization.- 9.2 An SSFIT Based Robust Performance Synthesis Algorithm.- 9.3 Example: Seeker Stabilization Loop.- 10 Robust Design Via Simultaneous Polynomial Stabilization.- 10.1 Robust Stabilization as Simultaneous Polynomial Stabilization.- 10.2 Single Parameter Uncertainty.- 10.3 Multiple Parameter Uncertainty.- 10.4 The Interval Plant Family.- 10.5 Nominal Performance Synthesis via Simultaneous Polynomial Stabilization.- 10.6 Robust Performance Synthesis via Simultaneous Polynomial Stabilization.- 11 Fit for Robust Multivariable Design.- 11.1 System Representations.- 11.2 Feedback Configurations.- 11.3 Stability.- 11.4 Performance.- 11.5 Parameter Uncertainty.- 11.6 A Robust Pole Assignment Scheme.- 11.7 FIT Based Robust D-Stabilization.- 11.8 FIT Based Synthesis for Robust Performance.- 11.9 Robust Decoupling.- References.

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