Unit of study_

# AMME8501: System Dynamics and Control

This unit of study aims to allow students to develop an understanding of methods for modeling and controlling linear, time-invariant systems. Techniques examined will include the use of differential equations and frequency domain approaches to modeling of systems. This will allow students to examine the response of a system to changing inputs and to examine the influence of external stimuli such as disturbances on system behaviour. Students will also gain an understanding of how the responses of these mechanical systems can be altered to meet desired specifications and why this is important in many engineering problem domains. The study of control systems engineering is of fundamental importance to most engineering disciplines, including Electrical, Mechanical, Mechatronic and Aerospace Engineering. Control systems are found in a broad range of applications within these disciplines, from aircraft and spacecraft to robots, automobiles, computers and process control systems. The concepts taught in this course introduce students to the mathematical foundations behind the modelling and control of linear, time-invariant dynamic systems. In particular, topics addressed in this course will include: Techniques for modelling mechanical systems and understanding their response to control inputs and disturbances (this will include the use of differential equations and frequency domain methods as well as tools such as Root Locus and Bode plots); Representation of systems in a feedback control system as well as techniques for determining what desired system performance specifications are achievable, practical and important when the system is under control; Theoretical and practical techniques that help engineers in designing control systems, and an examination of which technique is best in solving a given problem.

Code AMME8501 Aerospace, Mechanical and Mechatronic 6
 Prerequisites: ? None None AMME9501 AMME5500 or AMME9500. Students are assumed to have a good background knowledge in ordinary differential equations, Laplace transform methods, linear algebra and mathematical modeling of mechanical systems

At the completion of this unit, you should be able to:

• LO1. mathematically model mechanical and other systems and determine their response characteristics based on the physical properties of the system and Laplace transform methods
• LO2. understand how desired specifications of a mechanical system such as stability, overshoot, rise time, the time constant of a system, natural frequency and damping ratio can be represented mathematically and how they depend on system parameters
• LO3. demonstrate an ability to design controllers and meet specifications using tools such as Root Locus, Bode Plots, and State Space; understand the relative strengths and weaknesses of each technique
• LO4. understand the role of feedback in providing robustness to modelling uncertainty and external disturbances
• LO5. analyse and design control loops using Matlab and Simulink software tools.

## Unit outlines

Unit outlines will be available 1 week before the first day of teaching for the relevant session.