Spring 2025 Electrical and Mechanical Engineering E4601 section V01

DISCRETE CONTROL SYSTEMS

Digital Control Systems

Call Number 18124
Points 3
Grading Mode Standard
Approvals Required None
Instructor Homayoon Beigi
Type LECTURE
Method of Instruction On-Line Only
Course Description

The course studies control strategies and their implementation in the discrete domain. Introduction with examples; review of continuous control and Laplace Transforms; review of continuous state-space representation and Solutions; review of  difference equations, discretization in time and frequency, the WKS (aka Shannon) sampling theorem, windowing, filters, Transforms: Fourier series, Fourier transform, z-transform and their inverses; Ideal sampler, Sample-and-hold devices, zero, one, polygonal, and slewer hold; Transfer functions, block diagrams, and signal flow graphs for discrete systems; Discrete State-Space transformation, controllabililty, observability, and stability in the state-space domain. Discrete time and z domain analysis, steady state analysis, discrete-time root-locus, and pole-zero placement; Discrete Nyquist stability criterion, Bode plot, Gain and Phase Margin analysis, Nichols chart, bandwidth and sensitivity analysis; Design criteria, self-tuning regulator, Kalman filter, and simulation, followed by advanced stability analysis such as Lyapunov stability; Overview of the discrete Euler-Lagrange equations, discrete maximum and minimum principle, optimal linear discrete regulator design, optimality and dynamic programming.

Web Site Vergil
Department Video Network
Enrollment 3 students (99 max) as of 9:05PM Tuesday, April 22, 2025
Subject Electrical and Mechanical Engineering
Number E4601
Section V01
Division School of Engineering and Applied Science: Graduate
Open To Columbia Video Network
Fee $395 CVN Course Fee
Note VIDEO NETWORK STUDENTS ONLY
Section key 20251EEME4601EV01