ES3C8 Systems Modelling and Control
Module Leader: Dr R.P. Jones
Co-lecturer: Dr N. Khovanova
Module Information
Scope
This 15 CATS module is one of the third year modules for:
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Aims
Most disciplines of the engineering profession require a sound understanding of the techniques used in the modelling and control of dynamic, multi-domain physical, and other, systems. The aims of this module are: to introduce techniques and computer tools for modelling, predicting and analysing the behaviour of dynamic systems; and to introduce concepts, principles and techniques employed in classical methods of single loop feedback control system design.
Learning Outcomes
By the end of the module the student should be able to...
- Understand procedures for developing physically based mathematical models of physical systems, and related analytical and numerical methods for predicting their behaviour.
- Understand the concepts and techniques used in analysing the behaviour of open loop physical systems, and in the design of feedback control systems.
- Use computational tools in the modelling, simulation and analysis of engineering systems.
- Apply appropriate theoretical and practical methods to the analysis and solution of engineering problems.
Syllabus
Physically based modelling of translational/rotational mechanical, electrical, fluidic and thermal systems: through and across variables; physical elements and elemental equations; interconnection laws.
Continuous-time models: nonlinear state variable equations; numerical integration; handling of discrete events.
System models: nonlinear state variable models; linearisation; linear time-invariant state variable models; transfer function models.
Computer tools for modelling, simulating and analysing dynamical systems: e.g. MATLAB/Simulink/Stateflow.
Characteristics of linear state variable models: eigenstructure and stability; controllability, observability and minimal realisation.
Characteristics of transfer function models: poles, zeros, stability and minimal realisation; block diagram algebra.
State variable based feedback design: eigenstructure assignment; linear quadratic optimal control; Luenberger observer and Kalman Filter.
Transfer function based feedback design: root locus, Nyquist stability criteria; tuning of PID controllers.
Multi-loop decoupling: diagonal dominance and symmetry; closed loop interaction and non-interacting control.
Digital control: sample-and-hold elements, approximation of continuous controllers, z-transform representation.
Teaching Methods
This module includes 30 hours of lectures.
Required self-study: 120 hours
Assessment
A 15 CATS module: 80% examined via a 2 hour paper
Exam rubric information
- 4 Compulsory Questions
and 20% assessed via a:
- System Modelling & Control Design Assignment
Links to:
Recommended Textbook:
Close, C.M., Frederick, D.K. & Newell, J.C., Modeling and Analysis of Dynamic Systems, 3rd ed., Wiley, 2002
