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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
12.
Nonlinear Control Systems
12.1.
Introduction to Nonlinear Systems
12.1.1.
Types of Nonlinearities
12.1.1.1.
Saturation
12.1.1.2.
Dead Zone
12.1.1.3.
Backlash
12.1.1.4.
Hysteresis
12.1.1.5.
Relay
12.1.2.
Effects of Nonlinearities
12.1.3.
Linearization Techniques
12.2.
Phase Plane Analysis
12.2.1.
Phase Plane Concepts
12.2.2.
Construction of Phase Portraits
12.2.3.
Singular Points
12.2.3.1.
Node
12.2.3.2.
Focus
12.2.3.3.
Saddle Point
12.2.3.4.
Center
12.2.4.
Limit Cycles
12.2.5.
Stability Analysis
12.3.
Describing Function Method
12.3.1.
Describing Function Concept
12.3.2.
Describing Functions for Common Nonlinearities
12.3.3.
Stability Analysis
12.3.4.
Limit Cycle Prediction
12.4.
Lyapunov Stability Theory
12.4.1.
Lyapunov Stability Definitions
12.4.2.
Lyapunov's Direct Method
12.4.3.
Lyapunov Functions
12.4.4.
Stability Analysis Procedure
12.4.5.
Control Design Using Lyapunov Method
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13. Advanced Control Topics