ECE Course Syllabus
ECE6550 Course Syllabus
Linear Systems and Controls (3-0-3)
- Technical Interest
- Systems and Controls
- Catalog Description
- Introduction to linear system theory and feedback control. Topics include state space representation, controllability and observability, linear feedback control.
- J.P. Hespanha, Linear Systems Theory (2nd edition), Princeton University Press, 2017. ISBN 9780691179575(optional)
SPIs are a subset of the abilities a student will be able to demonstrate upon successfully completing the course.
Outcome 1 (Students will demonstrate expertise in a subfield of study chosen from the fields of electrical engineering or computer engineering): 1. Solve linear, time-invariant differential equations. 2. Model physical systems by the state-space approach. 3. Analyze reachability, controllability and observability of linear systems. Outcome 2 (Students will demonstrate the ability to identify and formulate advanced problems and apply knowledge of mathematics and science to solve those problems): 1. Design feedback controllers for closed-loop stability and eigenvalue assignment. 2. Design Luenberger observers for output feedback. Outcome 3 (Students will demonstrate the ability to utilize current knowledge, technology, or techniques within their chosen subfield): N/A
- Topical Outline
Review of Input/Output System Models (1 week) Basic System Properties (linearity, time invariance, etc.) Transfer Functions for Continuous and Discrete-Time Systems Stability State Space Representation (6 weeks) State Equations (continuous and discrete-time) Solutions to State Equations System Equivalence Canonical Forms (diagonal form, control canonical form, etc.) Realizations Stability Linearization Controllability and Observability (1 week) Controllability and Observability Grammians Rank Tests Linear Feedback Control (6 weeks) Pole Assignment by State Feedback LQ Control Luenberger Observers Separation Principle (Estimated State Feedback) Fixed-Order Compensators (System Augmentation) Introduction to Robust Control
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