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9783642864186: Digital Control Systems: Volume 1: Fundamentals, Deterministic Control

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Synopsis

1 Introduction.- A Fundamentals.- 2 Control with Digital Computers (Process Computers, Microcomputers).- 3 Fundamentals of Linear Sampled-data Systems (Discrete-time Systems).- 3.1 Discrete-time Signals.- 3.1.1 Discrete Functions, Difference Equations.- 3.1.2 Impulse Trains.- 3.1.3 Fourier-Transform of the Impulse Train.- 3.2 Laplace-transformation of Discrete-time Functions and Shannon's Sampling Theorem.- 3.2.1 Laplace-transformation.- 3.2.2 Shannon's Sampling Theorem.- 3.2.3 Holding Element.- 3.2.4 Frequency Response of Sampled Systems.- 3.3 z-Transform.- 3.3.1 Introduction of z-Transform.- 3.3.2 z-Transform Theorems.- 3.3.3 Inverse z-Transform.- 3.4 Convolution Sum and z-Transfer Function.- 3.4.1 Convolution Sum.- 3.4.2 Pulse Transfer Function and z-Transfer-Function.- 3.4.3 Properties of the z-Transfer Functions and Difference Equations.- 3.5 Poles and Zeros, Stability.- 3.5.1 Location of Poles in the z-Plane.- 3.5.2 Stability Condition.- 3.5.3 Stability Analysis through Bilinear Transformation.- 3.5.4 Schur-Cohn-Jury Criterion.- 3.5.5 Location of Zeros in the z-Plane.- 3.6 State Variable Representation.- 3.6.1 The Vector Difference Equation Based on Vector Differential Equation.- 3.6.2 The Vector Difference Equation Based on Difference Equation.- 3.6.3 Canonical Forms.- 3.6.4 Processes with Deadtime.- 3.6.5 Solution of Vector Difference Equation.- 3.6.6 Determination of the z-Transfer Function.- 3.6.7 Determination of the Impulse Response.- 3.6.8 Controllability and Observability.- 3.7 Mathematical Models of Processes.- 3.7.1 Basic Types of Technical Processes.- 3.7.2 Determination of the Process Model-Modelling and Identification.- 3.7.3 Calculation of z-Transfer Functions from s-Transfer Functions.- 3.7.4 Simplification of Process Models for Discrete-time Signals.- B Control-Systems for Deterministic Disturbances.- 4 Deterministic Control Systems.- 5 Parameter-optimized Controllers.- 5.1 Discretizing the Differential Equations of Continuous PID-Controllers.- 5.2 Parameter-optimized Discrete Control Algorithms of Low-Order.- 5.2.1 Control Algorithms of First and Second Order.- 5.2.2 Control Algorithms with Prescribed Initial Manipulated Variable.- 5.2.3 PID-Control Algorithm through z-Transformation.- 5.3 Modifications to Discrete PID-Control Algorithms.- 5.3.1 Different Evaluation of Control Variable and Reference Variable.- 5.3.2 Different Discretizations of the Derivative Term.- 5.3.3 Delayed Differential Term.- 5.4 Design Through Numerical Parameter Optimization.- 5.4.1 Numerical Parameter Optimization.- 5.4.2 Simulation Results for PID-Control Algorithms.- 5.5 PID-Controller Design Through Pole-Assignment, Compensation and Approximation.- 5.5.1 Pole-assignment Design.- 5.5.2 Design as a Cancellation Controller.- 5.5.3 Design of PID-Controllers Through Approximation of other Controllers.- 5.6 Tuning Rules for Parameter-optimized Control Algorithms.- 5.6.1 Tuning Rules for Modified PID-controllers.- 5.6.2 Tuning Rules Based on Measured Step Functions.- 5.6.3 Tuning Rules with Oscillation Tests.- 5.7 Choice of Sample Time for Parameter-optimized Control Algorithms.- 5.8 Supplementary Functions of Digital PID-Controllers.- 6 General Linear Controllers and Cancellation Controllers.- 6.1 General Linear Controllers.- 6.1.1 General Linear Controller Design for Specified Poles.- 6.1.2 General Linear Controller Design Through Parameter Optimization.- 6.2 Cancellation Controllers.- 7 Controllers for Finite Settling Time.- 7.1 Deadbeat Controller Without Prescribed Manipulated Variable.- 7.2 Deadbeat Controller with Prescribed Manipulated Variable.- 7.3 Choice of the Sample Time for Deadbeat Controllers.- 7.4 Approximation Through PID-Controllers.- 8 State Controller and State Observers.- 8.1 Optimal State Controllers for Initial Values.- 8.2 Optimal State Controllers for External Disturbances.- 8.3 State Controllers with a Given Characteristic Equation.- 8.4 Modal State Control.- 8.5 State Controllers for Finite Settling Ti

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  • ÉditeurSpringer
  • Date d'édition2012
  • ISBN 10 364286418X
  • ISBN 13 9783642864186
  • ReliurePaperback
  • Langueanglais
  • Coordonnées du fabricantnon disponible

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Autres éditions populaires du même titre

9783642864193: Digital Control Systems: Volume 1: Fundamentals, Deterministic Control

Edition présentée

ISBN 10 :  3642864198 ISBN 13 :  9783642864193
Editeur : Springer, 2012
Couverture souple