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# Unit information: Systems and Control Engineering 3 in 2016/17

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Unit name Systems and Control Engineering 3 MENG30202 10 H/6 Teaching Block 1 (weeks 1 - 12) Dr. Harrison Not open The Systems and Control Engineering component of MENG22200 or equivalent None Department of Mechanical Engineering Faculty of Engineering

## Description

This unit extends your knowledge in Systems and Control Engineering in the following ways: by introducing the general Roots' Loci method of control system design, by formally introducing discrete-time system dynamics and control, by providing a clear understanding of the Nyquist Stability Criterion for SISO systems, and then by using this understanding in the design of practical single-input/single-output (SISO) control systems, via frequency domain techniques. The course includes a Matlab/Simulink exercise which enables you to design and simulate control systems via frequency domain techniques.

Aims:

To extend the students’ Year II knowledge in Systems and Control Engineering in the following ways:

• introduce the general (PB) Roots’ Loci method of control system design.
• formally introduce (PB) discrete-time system dynamics and control.
• provide a clear understanding of FD techniques and the Nyquist Stability Criterion for SISO systems. Use this understanding in the design of practical SISO control systems.

## Intended learning outcomes

By the end of the course, students should be able to:

• Construct and use Roots’ Loci diagrams to characterise simple dynamical systems
• Derive gains for simple SISO controllers using Roots’ Loci diagrams
• Understand the concept of a discrete-time system
• Derive difference equations that correspond to an equivalent continuous-time system using the principle of the Zero-Order-Hold Discrete Equivalent (ZOHDE)
• Design simple discrete-time controllers based on the indirect and direct methods
• Determine sampling intervals for controllers based on the indirect and direct methods
• Understand stability margins
• Design a closed loop controller based on Bode plots of the plant and controller (open loop transfer function).
• Estimate the closed-loop step response (steady-state error, settling time, number of overshoots) from the OLTF Bode Plot.

## Teaching details

The lectures will be backed-up by extensive use of computer simulations of control systems.

## Assessment Details

The course will be assessed (100%) by a 2 hour examination in January with 2 sections (PB and FD, 3Q per section; candidates to answer 3 questions out of 4).

## Reading and References

Modern Control Systems, 7th edition, R.C. Dorf & R.H. Bishop, (Addison-Wesley), 1998.