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.
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Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

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250 |a 1st ed. 1985. 
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505 0 |a 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. 
520 |a 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 uncertainty of plant parameters. This book is a revised translation of the second Ger­ man edition. The revisions concern primarily a new treatment of the finite effect sequences and the use of nice numerical proper­ ties of Hessenberg forms. The introduction describes examples of sampled-data systems, in particular digital controllers, and analyzes the sampler and hold; also some design aspects are introduced. Chapter 2 reviews the modelling and analysis of continuous systems. Pole shifting is formulated as an affine mapping, here some ñw material on fixing some eigenvalues or some gains in a design step is included. Chapter 3 treats the analysis of sampled-data systems by state­ space and z-transform methods. This includes sections on inter­ sampling behavior, time-delay systems, absolute stability and non­ synchronous sampling. Chapter 4 treats controllability and reach­ ability of discrete-time systems, controllability regions for con­ strained inputs and the choice of the sampling interval primarily under controllability aspects. Chapter 5 deals with observability and constructability both from the discrete and continuous plant output. Full and reduced order observers are treated as well as disturbance observers. 
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