The aim of this module is to enable the student to apply mathematical formulae and techniques to the solution of bioengineering control problems by identifying the performance characteristics of a number of actuators and measurement devices. Different actuators and transducers and the mathematical models underlying their behaviour and performance as well as how they are interfaced to a computer based system will be assessed.
Static & Dynamic characteristics: Static & Dynamic characteristics of measurement and control systems. Error analysis in measurement systems. Measurement of electrical signals.
Signal Processing: Amplification, attenuation, filters. Digital Components: Op-Amp circuits, A/D conversion, Sample and Hold, Sampling and use of z Transforms
Introduction to control systems: Components of a control system, open loop and closed loop, system behaviour, standard inputs.
Modelling Equations: First order systems, theory & examples, system response, solution by differential equations
Second order systems: 2nd order transfer functions, step ramp and frequency response, 2nd order examples
Solving for System behavior: Transfer functions, first order system response using Laplace transforms. Closed loop transfer functions, effect of feedback on system behavior. Type Number and Steady State Error
Block Diagram Reduction: Reduction of complex systems, block diagram reduction rules, systems with multiple inputs
Control strategies: On/off, proportional, PI, PID. Ziegler Nichols tuning of three term controllers.
Sensors: Position and Speed Measurement Devices, Potentiometers Tachogenerators and Encoders.
