The BRADLEY DEPARTMENT of ELECTRICAL and COMPUTER ENGINEERING

ECE 5764 Applied Linear Control | ECE | Virginia Tech

Graduate PROGRAMS

Course Information

Description

Analysis and design of sampled-data systems, extraction of discrete-time dynamic models from experimental data, and implementation of dynamic compensators on digital processors. In-depth design experience with LQR optimal control and an introduction to Kalman filtering. Realistic design problems with numerical simulations of practical implementations.

Why take this course?

The proposed course provides a hands-on understanding of fundamental implementation issues in the design of control systems implemented on digital processors. The course emphasizes the use of software tools for the analysis and design of practical controller solutions.

Learning Objectives

  • convert and implement discrete-time dynamic compensators from continuous-time designs
  • design appropriate anti-alias and anti-imaging filters for a controller implementation
  • extract dynamic system models from experimental data for use in design and analysis
  • design state- and output-feedback controllers using LQR/LQG optimal control

Course Topics

Topic

Percentage of Course

1. Sampled data systems 10%
2. Digital controller architectures and anti-aliasing/anti-imaging 10%
3. Z-transform and difference equations 10%
4. Continuous-to-discrete transformations (SISO and MIMO) 5%
5. Discrete state-space, IIR, and FIR realizations 10%
6. Frequency response and transfer functions matrices 5%
7. Characteristic Equation, Eigenvalues, and stability criteria 5%
8. Discrete time full state feedback and output feedback design 10%
9. LQR Optimal Control 15%
10. Kalman Filtering and stochastics 10%
11. System Identification 10%