Analysis and control of hybrid dynamical systems: an insight into switched control systems

Primary supervisor

Additional information

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Other projects with the same supervisor


  • Competition Funded Project (European/UK Students Only)
This research project is one of a number of projects at this institution. It is in competition for funding with one or more of these projects. Usually the project which receives the best applicant will be awarded the funding. The funding is available to citizens of a number of European countries (including the UK). In most cases this will include all EU nationals. However full funding may not be available to all applicants and you should read the full department and project details for further information.

Project description

Hybrid dynamical systems have emerged as a novel framework with potential for improving the performance and capabilities of a wide variety of engineering systems. In addition, from the theoretical viewpoint, they provide alternative ways of interpreting and solving the abstraction, specification, verification and design of complex control systems. Generally speaking, hybrid systems are dynamical systems consisting of continuous-type dynamics and discrete-event dynamics. They merge formal computational tools, dynamical systems theory and control engineering methodologies. Consequently, this framework gives rise to models, behaviour analysis tools, stability definitions, control schemes, numerical analysis methods and algorithms for simulation which are novel, and entail a better formulation of the system interaction with the environment.

The goal of this PhD project is to formulate dynamical and control-related properties within the hybrid-systems framework. In particular, the study of complex dynamical phenomena of electromechanical systems with friction and impacts will be carried out. Switched or discontinuous control-type schemes will be explored in order to get system desired behaviour and good performance. These control algorithms will be reinterpreted within the hybrid- systems framework.

Person specification

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Applicants will be required to evidence the following skills and qualifications.

  • This project requires mathematical engagement and ability substantially greater than for a typical Computer Science PhD. Give evidence for appropriate competence, as relevant to the project description.
  • You must be capable of performing at a very high level.
  • You must have a self-driven interest in uncovering and solving unknown problems and be able to work hard and creatively without constant supervision.


Applicants will be required to evidence the following skills and qualifications.

  • You will possess determination (which is often more important than qualifications) although you'll need a good amount of both.
  • You will have good time management.


Applicants will be required to address the following.

  • Discuss your final year Undergraduate project work - and if appropriate your MSc project work.
  • How well does your previous study prepare you for undertaking Postgraduate Research?
  • Comment on your transcript/predicted degree marks, outlining both strong and weak points.
  • Why do you believe you are suitable for doing Postgraduate Research?
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