Digital Control Systems

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