15 Credits SPRING

Pre-requisites: ACS317, ACS6129

Aims/Description: The module teaches how to design optimal controllers. It starts by explaining the main ideas of infinite-dimensional optimization. In particular, it introduces the Calculus of Variations, a field of mathematics used to find maxima/minima of mappings defined on functions e.g. it allows you to find a trajectory corresponding to the minimum energy/fuel waste. This theory is then used to develop tools for designing optimal controllers. Namely, the maximum principle and dynamic programming are introduced. The module is supported by extensive examples and home assignments that will help you to learn how to apply all the covered techniques.

Teaching Methods: Lectures, Problem solving, Independent Study
Assessment: Formal Exam, Course work

Information on the department responsible for this unit (Automatic Control and Systems Engineering):

Departmental Home Page
Teaching timetable


The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

URLs used in these pages are subject to year-on-year change. For this reason we recommend that you do not bookmark these pages or set them as favourites.

Teaching methods and assessment displayed on this page are indicative for 2021-22. Students will be informed by the academic department of any changes made necessary by the ongoing pandemic.

Western Bank, Sheffield, S10 2TN, UK