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This subject provides an introduction to modern control theory with a particular focus on state-space methods and optimal control. The role of feedback in control will be reinforced within this context, alongside the role of optimisation techniques in control system synthesis. This subject is a core requirement in the Master of Engineering (Mechatronics).
State-space models - first-order vector differential/difference equations; Lyapunov stability; linearisation; discretisation; Kalman decomposition (observable, detectable, reachable and stabilisable subspaces); state-feedback and pole placement; output-feedback and observer design in both continuous-time and discrete-time.
Optimal control - dynamic programming; linear quadratic regulation in both continuous-time and discrete-time. Model predictive control in discrete-time; moving-horizon with constraints.
Intended learning outcomes
Having completed this subject it is expected that the student be able to:
- Apply fundamental state-space-techniques in the analysis and design of linear feedback control systems, as they arise in a variety of contexts
- Formulate and solve constrained optimisation problems for control system synthesis
- Use software tools to simulate and design the linear behaviour of automatic control systems.
Upon completion of this subject, students will have developed the following skills:
- Ability to apply knowledge of basic science and engineering fundamentals
- In-depth technical competence in at least one engineering discipline
- Ability to undertake problem identification, formulation and solution
- Ability to utilise a systems approach to design and operational performance
- Capacity for independent critical thought, rational inquiry and self-directed learning
- Openness to new ideas and unconventional critiques of received wisdom
- Ability to function effectively as an individual and in multi-disciplinary and multi-cultural teams, with the capacity to be a leader or manager as well as an effective team member
- Ability to communicate effectively, with the engineering team and with the community at large.
Last updated: 18 December 2020