Sampled-Data Control Systems Analysis and Synthesis, Robust System Design / by Jürgen Ackermann.

The first German edition of this book appeared in 1972, and in Polish translation in 1976. It covered the analysis and synthesis of sampled-data systems. The second German edition of 1983 ex­ tended the scope to design, in particular design for robustness of control system properties with respect to...

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Bibliographic Details
Main Author: Ackermann, Jürgen (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1985.
Edition:1st ed. 1985.
Series:Communications and Control Engineering,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1. Introduction
  • 1.1 Sampling, Sampled-Data Controllers
  • 1.2 Sampled-Data Systems
  • 1.3 Design Problems for Sampled-Data Loops
  • 1.4 Exercises
  • 2. Continuous Systems
  • 2.1 Modelling, Linearization
  • 2.2 Basis of the State Space
  • 2.3 System Properties
  • 2.4 Solutions of the Differential Equation
  • 2.5 Specifications
  • 2.6 Pole Shifting
  • 2.7 Exercises
  • 3. Modelling and Analysis of Sampled-Data Systems
  • 3.1 Discretization of the Plant
  • 3.2 Homogeneous Solutions: Eigenvalues, Solution Sequences
  • 3.3 Inhomogeneous Solutions: z-Transfer Function, Impulse and Step Responses
  • 3.4 Discrete Controller and Control Loop
  • 3.5 Root Locus Plots and Pole Specifications in the z-Plane
  • 3.6. Time Domain Solutions and Specifications
  • 3.7 Behavior Between the Sampling Instants
  • 3.8 Time-Delay Systems
  • 3.9 Frequency Response Methods
  • 3.10 Special Sampling Problems
  • 3.11 Exercises
  • 4. Controllability, Choice of Sampling Period and Pole Assignment
  • 4.1 Controllability and Reachability
  • 4.2 Controllability Regions for Constrained Inputs
  • 4.3 Choice of the Sampling Interval
  • 4.4 Pole Assignment
  • 4.5 Exercises
  • 5. Observability and Observers
  • 5.1 Observability and Constructability
  • 5.2 The Observer of Order n
  • 5.3 The Reduced Order Observer
  • 5.4 Choice of the Observer Poles
  • 5.5 Disturbance Observer
  • 5.6 Exercises
  • 6. Control Loop Synthesis
  • 6.1 Design Methodology
  • 6.2 Controller Structures
  • 6.3 Separation
  • 6.4 Construction of a Linear Function of the States
  • 6.5 Synthesis by Polynomial Equations
  • 6.6 Pole-Zero-Cancellations
  • 6.7 Closed-loop Transfer Function and Prefilter
  • 6.8 Disturbance Compensation
  • 6.9 Exercises
  • 7. Geometric Stability Investigation and Pole Region Assignment
  • 7.1 Stability
  • 7.2 Stability Region in P Space
  • 7.3 Barycentric Coordinates, Bilinear Transformation
  • 7.4 ?-Stability
  • 7.5 Pole-Region Assignment
  • 7.6 Graphic Representation in Two-dimensional Cross Sections
  • 7.7 Exercises
  • 8. Design of Robust Control Systems
  • 8.1 Robustness Problems
  • 8.2 Structural Assumptions and Existence of Robust Controllers
  • 8.3 Simultaneous Pole Region Assignment
  • 8.4 Selection of a Controller from the Admissible Solution Set
  • 8.5 Stabilization of the Short-period Longitudinal Mode of an F4-E with Canards
  • 8.6 Design by Optimization of a Vector Performance Criterion
  • 8.7 Exercises
  • 9. Multivariable Systems
  • 9.1 Controllability and Observability Structure
  • 9.2 Finite Effect Sequences (FESs)
  • 9.3 FES Assignment
  • 9.4 Quadratic Optimal Control
  • 9.5 Exercises
  • Appendix A Canonical Forms and Further Results from Matrix Theory
  • A.1 Linear Transformations
  • A. 2 Diagonal and Jordan Forms
  • A. 3 Frobenius Forms
  • A.3.1 Controllability-Canonical Form
  • A.3.2 Feedback-Canonical Form
  • A.3.3 Observability-Canonical Form
  • A.3.4 Observer-Canonical Form
  • A.4 Multivariable Canonical Forms
  • A. 4.1 General Remarks
  • A.4.2 Luenberger Feedback-Canonical Form
  • A. 4.3 Brunovsky Canonical Form
  • A.5 Computational Aspects
  • A.5.1 Elementary Transformations to Hessenberg Form
  • A. 5. 2 HN Form
  • A.6 Sensor Coordinates
  • A.7 Further results from Matrix Theory
  • A. 7.1 Notations
  • A.7.2 Vector Operations
  • A.7.3 Determinant of a Matrix
  • A. 7.4 Trace of a Matrix
  • A. 7.5 Rank of a Matrix
  • A. 7.6 Inverse Matrix
  • A. 7.7 Eigenvalues of a Matrix
  • A.7.8 Resolvent of a Matrix
  • A.7.9 Orbit and Controllability of (A, b)
  • A.7.10 Eigenvalue Assignment
  • A. 7.11 Functions of a Matrix
  • Appendix B The z-Transform
  • B.1 Notation and Assumptions
  • B.2 Linearity
  • B.3 Right Shifting Theorem
  • B.4 Left Shifting Theorem
  • B. 5 Damping Theorem
  • B.6 Differentation Theorem
  • B.7 Initial Value Theorem
  • B.8 Final Value Theorem
  • B.9 The Inverse z-Transform
  • B.10 Real Convolution Theorem
  • B.11 Complex Convolution Theorem, Parseval Equation
  • B.12 Other Representations of Sampled Signals in Time and Frequency Domain
  • B.13 Table of Laplace and z-Transforms
  • Appendix C Stability Criteria
  • C.1 Bilinear Transformation to a Hurwitz Problem
  • C.2 Schur-Cohn Criterium and its Reduced Forms
  • C.3 Necessary Stability Conditions
  • C.4 Sufficient Stability Conditions
  • Appendix D Application Examples
  • D.1 Aircraft Stabilization
  • D.2 Track-Guided Bus
  • Literature.