Nagle T., Chakrabortty A., Phillips C.L. Digital Control System Analysis & Design

London: Pearson, 2014. - 529 p.This revision of the best selling book for the digital controls course features new running applications and integration of MatLAB, the most widely used software in controls. Coverage of root locus design and the Fourier transform have also been increased.Overview
Digital Control System
The Control Problem
Satellite Model
Servomotor System Model
Antenna Pointing System
Robotic Control System
Temperature Control System
Single-Machine Infinite Bus Power SystemProblems
dIsCrete-tIme systems and the z-transformDiscrete-Time Systems
Transform Methods
Properties of the z-Transform
Addition and Subtraction
Multiplication by a Constant
Real Translation
Complex Translation
Initial Value
Final Value
Finding z-Transforms
Solution of Difference Equations
The Inverse z-Transform
Power Series Method
Partial-Fraction Expansion Method
Inversion-Formula Method
Discrete Convolution
Simulation Diagrams and Flow Graphs
State Variables
Other State-Variable Formulations
Transfer Functions
Solutions of the State Equations
Recursive Solution
z-Transform Method
Numerical Method via Digital Computer
Properties of the State Transition Matrix
Linear Time-Varying SystemsReferences and Further Readings
Problems
samplIng and reConstruCtIonSampled-Data Control Systems
The Ideal Sampler
Evaluation of E*(S)
Results from the Fourier Transform
Properties of E*(S)
Data Reconstruction
Zero-Order Hold
First-Order Hold
Fractional-Order HoldsReferences and Further Readings
Problems
open-loop dIsCrete-tIme systemsThe Relationship Between E(Z) and E*(S)
The Pulse Transfer Function
Open-Loop Systems Containing Digital Filters
The Modified z-Transform
Systems with Time Delays
Nonsynchronous Sampling
State-Variable Models
Review of Continuous-Time State Variables
Discrete-Time State Equations
Practical CalculationsReferences and Further Readings
Problems
Closed-loop systemsPreliminary Concepts
Solutions of the State Equations
Recursive Solution
z-Transform Method
Numerical Method via Digital Computer
Properties of the State Transition Matrix
Linear Time-Varying SystemsReferences and Further Readings
Problems
samplIng and reConstruCtIonSampled-Data Control Systems
The Ideal Sampler
Evaluation of E*(S)
Results from the Fourier Transform
Properties of E*(S)
Data Reconstruction
Zero-Order Hold
First-Order Hold
Fractional-Order HoldsReferences and Further Readings
Problems
open-loop dIsCrete-tIme systemsThe Relationship Between E(Z) and E*(S)
The Pulse Transfer Function
Open-Loop Systems Containing Digital Filters
The Modified z-Transform
Systems with Time Delays
Nonsynchronous Sampling
State-Variable Models
Review of Continuous-Time State Variables
Discrete-Time State Equations
Practical CalculationsReferences and Further Readings
Problems
Closed-loop systemsPreliminary Concepts
Derivation Procedure
State-Variable ModelsReferences and Further Readings
Problems
system tIme-response CharaCterIstICsSystem Time Response
System Characteristic Equation
Mapping the s-Plane into the z-Plane
Steady-State Accuracy
Simulation
Control SoftwareReferences and Further Readings
Problems
stabIlIty analysIs teChnIquesStability
Bilinear Transformation
The Routh-Hurwitz Criterion
Jury’s Stability Test
Root Locus
The Nyquist Criterion
The Bode Diagram
Interpretation of the Frequency Response
Closed-Loop Frequency ResponseReferences and Further Readings
Problems
dIgItal Controller desIgnControl System Specifications
Steady-State Accuracy
Transient Response
Relative Stability
Sensitivity
Disturbance Rejection
Control Effort
Compensation
Phase-Lag Compensation
Phase-Lead Compensation
Phase-Lead Design Procedure
Lag-Lead Compensation
Integration and Differentiation Filters
PID Controllers
PID Controller Design
Design by Root LocusReferences and Further Readings
Problems
pole-assIgnment desIgn and state estImatIonPole Assignment
State Estimation
Observer Model
Errors in Estimation
Error Dynamics
Controller Transfer Function
Closed-Loop Characteristic Equation
Closed-Loop State Equations
Reduced-Order Observers
Current Observers
Controllability and Observability
Systems with InputsReferences and Further Readings
Problems
system IdentIfICatIon of dIsCrete-tIme systemsIdentification of Static Systems
Identification of Dynamic Systems
Black-Box Identification
Least-Squares System Identification
Estimating Transfer Functions with Partly Known Poles and Zeros
Recursive Least-Squares System Identification
Practical Factors for Identification
Choice of Input
Choice of Sampling Frequency
Choice of Signal ScalingReferences and Further Readings
Problems
lInear quadratIC optImal ControlThe Quadratic Cost Function
The Principle of Optimality
Linear Quadratic Optimal Control
The Minimum Principle
Steady-State Optimal Control
Optimal State Estimation—Kalman Filters
Least-Squares MinimizationReferences and Further Readings
Problems
Case studIesServomotor System
System Model
Design
Environmental Chamber Control System
Temperature Control System
Aircraft Landing System
Plant Model
Design
Neonatal Fractional Inspired Oxygen
Plant Transfer Function
Taube’s PID Controller
MatLAB pidtool PIDF Controllers
Topology Identification in Electric Power System ModelsDesign Equations
Mason’s Gain Formula
Evaluation of E*(s)
Review of Matrices
The Laplace Transform
z-Transform Tables