# Digital Control Systems

### From ANCS Wiki

Control of dynamic systems by digital computer. Characterization of discrete-time systems, discrete state space, Z transforms, time domain analysis of discrete-time control systems. Effects of sampling time. Discrete root locus. Frequency domain methods for compensator design. Laboratory experiences in the computer control of electromechanical systems with C/C++ programming, LabView and programmable logic controls (PLCs).

**Text:** Katsuhiko Ogata, "Discrete-Time Control Systems", Prentice Hall

- Continuous vs. Digital Systems
- Laplace Transforms and Transfer Functions
- Block Diagrams, Root Locus and Frequency Response Design
- Feedback Control
- Digitization and Effect of Sampling

- Discrete System Analysis
- Linear Difference Equation
- The Discrete Transfer Function
- The z-Transform - key basic principles
- z-Transform Input and Response modeling
- Final Value and Other Response Tests
- Essential Properties of z-Transormation
- Sampled Data Systems

- Design of Discrete-Time Control Systems by Transforms Techniques
- System Specifications
- Root Locus in z-plane
- Steady State Error Analysis
- Frequency Response Methods (Bode plots & Nyquist plots)
- Design by Bilinear Transformation
- Direct Design Methods
- Digital PID Controller
- Deadbeat Controller

- State-Space Analysis
- Pole Placement and Controllability
- Full State Feedback Control
- Estimator Design and Observability
- Regulator Design
- Integral Design and Disturbance Estimation

**Years Taught**: Spring '93