AAE 56400: Systems Analysis and Synthesis
State space methods of analysis and design of continuous and discrete-time linear systems. Coordinate transformations, Jordan canonical forms, digital control, controllability and observability of continuous and discrete systems. Liapunov stability analysis. The linear regulator problem of optimal control via Hamilton Jacobi theory. Pole assignment, stabilizability, detectability. State estimation for deterministic models. Minimal order observers.
Format: 3 hrs lecture per week
Credit hours: 3
Status: Elective, Dynamics and Controls
Pre-requisite: AAE 364 or equivalent
Co-requisite: MA 511 recommended concurrently
Course Instructor: M. Corless
Text: Notes for AAE564, M. Corless
Assessment Method: Two exams (70%), Homework/Project (30%)
To provide the student with the basic concepts and techniques used in the analysis and control design of linearizable systems.
Objectives include developing abilities to:
Develop state space and transfer function models of physical systems
Analyze a system for stability, controllability, and observability
Design feedback controllers for stability, performance requirements, and disturbance rejection
Necessary Background: Linear algebra, differential equations, and maturity
Topics (number of Lectures):
State space modelling of physical systems
Transfer functions and their state space realizations
Behaviour of linear systems: modes, state transition matrices
Lyapunov techniques for stability analysis
Controllability and observability
State feedback controllers and stabilizability
Observers and detectability
Output feedback controllers
Disturbance rejection and output tracking
Linear quadratic optimal controllers
Application to aerospace/mechanical systems
Relationship of course to program objectives:
1) The course provides the fundamental concepts and techniques for the analysis and control design of linearizable systems.
2) Homework assignments develop students' abilities to solve problems, including open-ended and design problems (2a). These assignments also improve ability to communicate technically (2c).
Prepared by: Martin Corless
Date: March 1, 2001