
Design of Feedback Control Systems
by Stefani, Raymond T.; Savant, Clement J.; Shahian, Bahram; Hostetter, Gene H.Rent Textbook
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Summary
Table of Contents
Preface | |
Continuous-Time System Description | |
Preview | |
Basic Concepts | |
Control System Terminology | |
The Feedback Concept | |
Modeling | |
System Dynamics | |
Electrical Components | |
Mesh Analysis | |
State Variables | |
Node Analysis | |
Analyzing Operational Amplifier Circuits | |
Operational Amplifier Applications | |
Translational Mechanical Components | |
Free Body Diagrams | |
State Variables | |
Rotational Mechanical Components | |
Free Body Diagrams | |
Analogies | |
Gear Trains and Transformers | |
Electromechanical Components | |
Aerodynamics | |
Nomenclature | |
Dynamics | |
Lateral and Longitudinal Motion | |
Thermal Systems | |
Hydraulics | |
Transfer Function and Stability | |
Transfer Functions | |
Response Terms | |
Multiple Inputs and Outputs | |
Stability | |
Block Diagrams | |
Block Diagram Elements | |
Block Diagram Reductions | |
Multiple Inputs and Outputs | |
Signal Flow Graphs | |
Comparison and Block Diagrams | |
Mason's Rule | |
A Positioning Servo | |
Controller Model of the Thyroid Gland | |
Stick-Slip Response of an Oil Well Drill | |
Summary | |
References | |
Problems | |
Continuous-Time System Response | |
Preview | |
Response of First-Order Systems | |
Response of Second-Order Systems | |
Time Response | |
Overdamped Response | |
Critically Damped Response | |
Underdamped Response | |
Undamped Natural Frequency and Damping Ratio | |
Rise Time, Overshoot and Settling Time | |
Higher-Order System Response | |
Stability Testing | |
Coefficient Tests | |
Routh-Hurwitz Testing | |
Significance of the Array Coefficients | |
Left-Column Zeros | |
Row of Zeros | |
Eliminating a Possible Odd Divisor | |
Multiple Roots | |
Parameter Shifting | |
Adjustable Systems | |
Khartinov's Theorem | |
An Insulin Delivery System | |
Analysis of an Aircraft Wing | |
Summary | |
References | |
Problems | |
Performance Specifications | |
Preview | |
Analyzing Tracking Systems | |
Importance of Tracking Systems | |
Natural Response, Relative Stability and Damping | |
Forced Response | |
Steady State Error | |
Initial and Final Values | |
Steady State Errors to Power-of-Time Inputs | |
Power-of-Time Error Performance | |
System Type Number | |
Achieving a Given Type Number | |
Unity Feedback Systems | |
Unity Feedback Error Coefficients | |
Performance Indices and Optimal Systems | |
System Sensitivity | |
Calculating the Effects of Changes in Parameters | |
Sensitivity Functions | |
Sensitivity to Disturbance Signals | |
Time Domain Design | |
Process Control | |
Ziegler-Nichols Compensation | |
Chien-Hrones-Reswick Compensation | |
An Electric Rail Transportation System | |
Phase-Locked Loop for a CB Receiver | |
Bionic Eye | |
Summary | |
References | |
Problems | |
Root Locus Analysis | |
Preview | |
Pole-Zero Plots | |
Poles and Zeros | |
Graphical Evaluation | |
Root Locus for Feedback Systems | |
Angle Criterion | |
High and Low Gains | |
Root Locus Properties | |
Root Locus Construction | |
More About Root Locus | |
Root Locus Calibration | |
Computer-Aided Root Locus | |
Root Locus for Other Systems | |
Systems with Other Forms | |
Negative Parameter Ranges | |
Delay Effects | |
Design Concepts (Adding Poles and Zeros) | |
A Light-Source Tracking System | |
An Artificial Limb | |
Control of a Flexible Spacecraft | |
Bionic Eye | |
Summary | |
References | |
Problems | |
Root Locus Design | |
Preview | |
Shaping a Root Locus | |
Adding and Canceling Poles and Zeros | |
Adding a Pole or Zero | |
Canceling a Pole or Zero | |
Second-Order Plant Models | |
An Uncompensated Example System | |
Cascade Proportional Plus Integral (PI) | |
General Approach to Compensator Design | |
Cascade PI Compensation | |
Cascade Lag Compensation | |
Cascade Lead Compensation | |
Cascade Lag-Lead Compensation | |
Rate Feedback Compensation (PD) | |
Proportional-Integral-Derivative Compensation | |
Pole Placement | |
Algebraic Compensation | |
Selecting the Transfer Function | |
Incorrect Plant Transmittance | |
Robust Algebraic Compensation | |
Fixed-Structure Compensation | |
An Unstable High-Performance Aircraft | |
Control of a Flexible Space Station | |
Control of a Solar Furnace | |
Summary | |
References | |
Problems | |
Frequency Response Analysis | |
Preview | |
Frequency Response | |
Forced Sinusoidal Response | |
Frequency Response Measurement | |
Response at Low and High Frequencies | |
Graphical Frequency Response Methods | |
Bode Plots | |
Amplitude Plots in Decibels | |
Real Axis Roots | |
Products of Transmittance Terms | |
Complex Roots | |
Using Experimental Data | |
Finding Models | |
Irrational Transmittances | |
Nyquist Methods | |
Generating the Nyquist (Polar) Plot | |
Interpreting the Nyquist Plot | |
Gain Margin | |
Phase Margin | |
Relations between Closed-Loop and Open-Loop Frequency Response | |
Frequency Response of a Flexible Spacecraft | |
Summary | |
References | |
Problems | |
Frequency Response Design | |
Preview | |
Relation between Root Locus, Time Domain, and Frequency Domain | |
Compensation Using Bode Plots | |
Uncompensated System | |
Cascade Proportional Plus Integral (PI) and Cascade Lag Compensations | |
Cascade Lead Compensation | |
Cascade Lag-Lead Compensation | |
Rate Feedback Compensation | |
Proportional-Integral-Derivative Compensation | |
An Automobile Driver as a Compensator | |
Summary | |
References | |
Problems | |
Space Analysis | |
Preview | |
State Space Representation | |
Phase-Variable Form | |
Dual Phase-Variable Form | |
Multiple Inputs and Outputs | |
Physical State Variables | |
Transfer Functions | |
State Transformations and Diagonalization | |
Diagonal Forms | |
Diagonalization Using Partial-Fraction Expansion | |
Complex Conjugate Characteristic Roots | |
Repeated Characteristic Roots | |
Time Response from State Equations | |
Laplace Transform Solution | |
Time-Domain Response of First-Order Systems | |
Time-Domain Response of Higher-Order Systems | |
System Response Computation | |
Stability | |
Asymptotic Stability | |
BIBO Stability | |
Internal Stability | |
Controllability and Observability | |
The Controllability Matrix | |
The Observability Matrix | |
Controllability, Observability and Pole-Zero Cancellation | |
Causes of Uncontrollability | |
Inverted Pendulum Problems | |
Summary | |
Space Design | |
Preview | |
State Feedback and Pole Placement | |
Stabilizability | |
Choosing Pole Locations | |
Limitations of State Feedback | |
Tracking Problems | |
Integral Control | |
Observer Design | |
Control Using Observers | |
Separation Property | |
Observer Transfer Function | |
Reduced-Order Observer Design | |
Separation Property | |
Reduced-Order Observer Transfer Function | |
A Magnetic Levitation System | |
Summary | |
State Space Methods | |
Preview | |
The Linear Quadratic Regulator Problem | |
Properties of the LQR Design | |
Return Difference Inequality | |
Optimal Root Locus | |
Optimal Observers--The Kalman Filter | |
The Linear Quadratic Gaussian (LQG) Problem | |
Critique of LGQ | |
Robustness | |
Feedback Properties | |
Uncertainty Modeling | |
Robust Stability | |
Loop Transfer Recovery(LTR) | |
HY Control | |
A Brief History | |
Some Preliminaries | |
HY Control: Solution | |
Weights in HY Control Problem | |
Summary | |
References | |
Problems | |
Control | |
Preview | |
Computer Processing | |
Computer History and Trends | |
A/D and D/A Conversion | |
Analog-to-Digital Conversion | |
Sample and Hold | |
Digital-to-Analog Conversion | |
Discrete-Time Signals | |
Representing Sequences | |
Z-Transformation and Properties | |
Inverse z-Transform | |
Sampling | |
Reconstruction of Signals from Samples | |
Representing Sampled Signals with Impulses | |
Relation between the z-Transform and the Laplace Transform | |
The Sampling Theorem | |
Discrete-Time Systems | |
Difference Equations Response | |
Z-Transfer Functions | |
Block Diagrams and Signal Flow Graphs | |
Stability and the Bilinear Transformation | |
Computer Software | |
State-Variable Descriptions of Discrete-Time Systems | |
Simulation Diagrams and Equations | |
Response and Stability | |
Controllability and Observability | |
Digitizing Control Systems | |
Step-Invariant Approximation | |
z-Transfer Functions of Systems with Analog Measurements | |
A Design Example | |
Direct Digital Design | |
Steady State Response | |
Deadbeat Systems | |
A Design Example | |
Summary | |
References | |
Problems | |
Matrix Algebra | |
Preview | |
Nomenclature | |
Addition and Subtraction | |
Transposition | |
Multiplication | |
Determinants and Cofactors | |
Inverse | |
Simultaneous Equations | |
Eigenvalues and Eigenvectors | |
Derivative of a Scalar with Respect to a Vector | |
Quadratic Forms and Symmetry | |
Definiteness | |
Rank | |
Partitioned Matrices | |
Problems | |
Laplace Transform | |
Preview | |
Definition and Properties | |
Solving Differential Equations | |
Partial Fraction Expansion | |
Additional Properties of the Laplace Transform | |
Real Translation | |
Second Independent Variable | |
Final Value and Initial Value Theorems | |
Convolution Integral | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |
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