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 Mechanical, Mechatronic, Biomedical, and Aerospace Engineering. Control systems are found in a broad range of applications within these disciplines, from aircraft and spacecraft to robots, automobiles, manufacturing processes, and medical diagnostic 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: 1. Techniques for modelling mechanical systems and understanding their response to control inputs and disturbances. This will include the derivation of differential equations and use of frequency domain (Laplace transform) methods for their solution and analysis. 2. 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 3. Techniques including Root Locus, Bode Plots, and State Space for analysis and design of feedback control systems. 4. Case studies inspired by real-world problems in control engineering.