Engineering Professional Education

# Systems Analysis and Synthesis

## AAE56400

Fall 2017

Days/Time: TTh / 10:30-11:45 am
Credit Hours: 3

Learning Objective:
To provide the student with basic concepts and techniques used in the modelling, analysis and control design of dynamical systems. Develop state space and transfer function models of physical systems. Analyze systems for stability, controllability, observability and performance. Design feedback controllers for stability, performance and disturbance rejection. Obtain proficiency in related numerical techniques and software.

Description:
State space methods for modelling, analysis and design of continuous- and discrete-time dynamical systems. Linearization. Stability, controllability, observability, stabilizability, detectability. Pole assignment and state estimation. Lyapunov analysis. Linear quadratic optimal controllers . Use of Matlab/Simulink.

Topics Covered:
State space modelling of physical systems; Linearization; Transfer functions and their state space realizations; Behavior of linear systems: modes, state transition matrices; Stability; 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

Prerequisites:
Knowledge of linear algebra and differential equations to the level acquired in an undergraduate engineering or science program.

Applied/Theory: 10/90

https://mycourses.purdue.edu

Web Content:
Syllabus, grades, lecture notes, homework assignments and solutions.

Homework:
Approximately 1 homework set per week.

Projects:
None.

Exams:
1 Midterm and 1 Final Exam

Textbooks:
No Materials Required.

Computer Requirements:
ProEd Minimum Computer Requirements, and Matlab/Simulink. Students can access for free via Purdue's Software Remote - https://goremote.ics.purdue.edu.

ProEd Minimum Requirements: view

Tuition & Fees: view

Other Requirements:

Fall 2017
Fall 2019
Fall 2021

## CURRENT INSTRUCTOR(S)

Martin J. Corless

Phone
765-494-7411

Email
corless@purdue.edu

Office
Purdue University
Neil Armstrong Hall of Engineering
701 W Stadium Ave
West Lafayette, IN 47907-2045

Fax
765-494-0307

Instructor HomePage