Robust control design : a polynomial approach /

Our heavy dependence on systems that are automatically controlled is undeniable. Many such 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 con...

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Bibliographic Details
Main Author: Djaferis, Theodore E.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston : Kluwer Academic Publishers, [1995]
Subjects:
Online Access:Connect to the full text of this electronic book
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.