Control : Modelling and Simulation 1. Introduction to Control SystemsCourse requirements and rules. History of control systems. Important definitions: transfer function, transient response, etc. Block and schematic diagrams. Techniques of obtaining transfer functions for simple block diagrams. Open-loop and closed-loop systems. The effects of feedback to open-loop systems. Examples of control systems. Analysis and design objectives of control systems. Classifications of control systems. 2. Mathematical ModellingIntroduction. Modelling of electrical systems in time and frequency (Laplace) domain. Equivalent circuit in frequency domain. Cramer’s rule. Translational mechanical systems (eg. car suspension system). Electric circuit analogies. Rotational mechanical systems. Rotational mechanical systems with gears. Electromechanical systems with gears and velocity feedback. Simple liquid level systems. 3. System representationImportant definitions of block diagrams and signal flow graphs: signals, systems, summing junctions, pickoff points, series, cascade and feedback forms. Techniques of simplifying block diagrams. Example questions on simplifying block diagrams. Signal flow graphs. Changing block diagrams into signal flow graphs and vice versa. Mason’s Rule and example questions. 4. Time domain response analysisStandard input test signal. Transient response and steady state response of a first and a second order systems. Correlation between poles location and time response. Higher order response. Dominant poles. Response specification in time domain. System category (order, type and steady state error coefficient). 5. Introduction to computer simulationIntroduction to control systems analysis and design using software tools such as MATLAB. Textbook: Norman S. Nise, Control Systems Engineering (5th Edition), John Wiley and Sons, 2008. |

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