Overview

Indicative content includes:

• Introduction - generic digital control systems; advantages/drawbacks of digital control; Digital control theory – signal reconstruction, effect of sampling; time variance; quantisation. Revision of classical control theory.

• Sampled data systems - modelling the ideal sampler; spectrum of a sampled signal; aliasing; linear recurrence (difference) equations; the Z transform; the mapping z = exp(sT); discrete transfer functions; block diagram representation; ‘unit delay’ property in z-domain; the Zero-Order Hold; design by emulation of continuous transfer functions.

• Digitising methods - continuous to discrete approximations; forward and backward difference; bilinear transform; matched pole zero method; pole and zero locations in the Z plane; frequency response of discrete time systems; hold equivalent model for a Plant; parameters of a 2nd order system in the z plane; closed loop discrete time system.

• Implementation issues – direct, cascade and parallel realisations; coding; numerical round-off and quantisation; choice of sample interval; effect of computational delay; integrator offset.

• Brief background of industrial computer control systems.

• temperature control system, modelling, dynamics and control

Indicative content includes:

• Introduction - generic digital control systems; advantages/drawbacks of digital control; Digital control theory – signal reconstruction, effect of sampling; time variance; quantisation. Revision of classical control theory.
• Sampled data systems - modelling the ideal sampler; spectrum of a sampled signal; aliasing; linear recurrence (difference) equations; the Z transform; the mapping z = exp(sT); discrete transfer functions; block diagram representation; ‘unit delay’ property in z-domain; the Zero-Order Hold; design by emulation of continuous transfer functions.
• Digitising methods - continuous to discrete approximations; forward and backward difference; bilinear transform; matched pole zero method; pole and zero locations in the Z plane; frequency response of discrete time systems; hold equivalent model for a Plant; parameters of a 2nd order system in the z plane; closed loop discrete time system.
• Implementation issues – direct, cascade and parallel realisations; coding; numerical round-off and quantisation; choice of sample interval; effect of computational delay; integrator offset.
• Brief background of industrial computer control systems.
• temperature control system, modelling, dynamics and control

Assessment Strategy

-threshold -Equivalent to 50%.Uses key areas of theory or knowledge to meet the Learning Outcomes of the module. Is able to formulate an appropriate solution to accurately solve tasks and questions. Can identify individual aspects, but lacks an awareness of links between them and the wider contexts. Outputs can be understood, but lack structure and/or coherence. -good -Equivalent to the range 60%-69%.Is able to analyse a task or problem to decide which aspects of theory and knowledge to apply. Solutions are of a workable quality, demonstrating understanding of underlying principles. Major themes can be linked appropriately but may not be able to extend this to individual aspects. Outputs are readily understood, with an appropriate structure but may lack sophistication. -excellent -Equivalent to the range 70%+.Assemble critically evaluated, relevant areas of knowledge and theory to constuct professional-level solutions to tasks and questions presented. Is able to cross-link themes and aspects to draw considered conclusions. Presents outputs in a cohesive, accurate, and efficient manner.

Learning Outcomes

• Describe Digital Control Systems in formal terms using the under-pinning mathematical foundations.

• Employ Digital Control Systems for temperature or Robotics system.

• Implement a Digital Control System by applying appropriate digitisation methods.

• Relate Digital Control techniques to temperature or robotic systems.