Discrete-Time Control Systems - 525.629

This course presents a comprehensive introduction to the theory and design of discrete-time control systems. Representation, modeling, and analysis of discrete-time / sampled-data systems are first studied. Then, the design of discrete-time control systems is introduced using both digital design emulation methods (e.g., emulating a continuous-time compensator via zero-pole mapping, hold equivalents, etc.) and direct design (transform) methods using root locus and frequency domain synthesis techniques (e.g., Bode, Nyquist). The “classical” approach to discrete-time control system representation, analysis and synthesis is followed by a discussion of the “modern” approach which includes discrete-time state-space representation of dynamic systems, controllability, observability, similarity transforms, and pole placement via full state feedback methods. Sample rate selection and the effects of quantization are also discussed. As part of this course, the student will research and select (with instructor approval) a conference / journal article or textbook section / chapter discussing an applications-based discrete-time control system concept and / or design process in an area of particular interest to the student. The paper / article should reflect and emphasize one or more of the key topics introduced in this course. The student reviews the paper, implements the concept(s), and develops a final presentation video to be shared with the class. MATLAB will be used in this course for all design and analysis topics; therefore, it is expected that students taking the course have familiarity with MATLAB functional and programming fundamentals.

Course Prerequisite(s)

EN.525.609 Continuous Control Systems; Students should have had previous exposure to MATLAB functional and programming fundamentals.