Digital Control Systems

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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