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Computer Science
Control Systems
Control Systems
1. Introduction to Control Systems
2. Mathematical Foundations
3. Mathematical Modeling of Dynamic Systems
4. Time-Domain Analysis
5. Stability Analysis
6. Root Locus Method
7. Frequency-Domain Analysis
8. Control System Design
9. State-Space Analysis
10. State-Space Design
11. Digital Control Systems
12. Nonlinear Control Systems
13. Advanced Control Topics
11.
Digital Control Systems
11.1.
Sampling and Reconstruction
11.1.1.
Sampling Process
11.1.2.
Sampling Theorem
11.1.3.
Aliasing
11.1.4.
Anti-Aliasing Filters
11.1.5.
Zero-Order Hold
11.1.6.
First-Order Hold
11.1.7.
Quantization Effects
11.2.
Z-Transform
11.2.1.
Definition and Properties
11.2.1.1.
Linearity
11.2.1.2.
Time Shifting
11.2.1.3.
Time Scaling
11.2.1.4.
Initial Value Theorem
11.2.1.5.
Final Value Theorem
11.2.2.
Z-Transform Pairs
11.2.3.
Inverse Z-Transform
11.2.3.1.
Partial Fraction Method
11.2.3.2.
Power Series Method
11.2.3.3.
Residue Method
11.2.4.
Solution of Difference Equations
11.3.
Pulse Transfer Functions
11.3.1.
Derivation from Continuous Systems
11.3.2.
Sampled-Data System Analysis
11.3.3.
Closed-Loop Pulse Transfer Functions
11.4.
Stability Analysis of Digital Systems
11.4.1.
Z-Plane Stability
11.4.2.
Jury Stability Test
11.4.3.
Bilinear Transformation
11.4.4.
Root Locus in Z-Plane
11.5.
Digital Controller Design
11.5.1.
Direct Digital Design
11.5.1.1.
Pole Placement in Z-Domain
11.5.1.2.
Deadbeat Control
11.5.1.3.
Minimum Variance Control
11.5.2.
Discrete Equivalent Design
11.5.2.1.
Backward Difference
11.5.2.2.
Forward Difference
11.5.2.3.
Bilinear Transformation
11.5.3.
Digital PID Controllers
11.5.3.1.
Discrete PID Algorithms
11.5.3.2.
Implementation Issues
11.6.
State-Space Analysis of Digital Systems
11.6.1.
Discrete-Time State Equations
11.6.2.
Solution of Discrete State Equations
11.6.3.
Controllability and Observability
11.6.4.
Digital State Feedback Design
11.6.5.
Digital Observer Design
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12. Nonlinear Control Systems