ACS61010 Optimal Control

Module Description (subject to change)

This module provides students with an introduction to the calculus of variations and optimal control. First, it reviews the basic ideas of finite- and infinite-dimensional optimization. In particular, the Calculus of Variations is presented in detail. This is followed by an introduction of optimal control and description of its main principles: the maximum principle and dynamic programming. The module ends with a brief review of the linear quadratic regulator.

The main goal of the module is to provide students with methods for constructing optimal regulators and explain the key ideas behind those methods. Hence, the Calculus of Variations takes a significant part of the lecture time. To develop necessary skills for designing optimal controllers, the module is supported by extensive examples, demonstrating all the discussed techniques. Moreover, it is accompanied by home assignments that are later solved during problem-solving classes.

Credits: 15 (Spring Semester)

Pre-Requisites: ACS317 (UG) OR ACS6129(PGT)

Module Leader

Anton Selivanov

Dr Anton Selivanov
Email: a.selivanov@sheffield.ac.uk
Amy Johnson Building

If you have any questions about the module please talk to me during the lectures or the labs in the first instance. It is likely that other students will learn from any questions you ask as well, so don’t be afraid to ask.

Outside of lectures please contact me via email, or drop in to see me.

Learning Outcomes

Learning Outcomes

At the end of the module, the student should be able to:

  1. Explain the principles of infinite-dimensional
  optimization [SM1fl] 
  2. Apply calculus of variations to
  find extrema of functionals [SM3fl]
  3. Analyse the optimality of a given
  control law [EA1fl]   
  4. Design optimal controllers [D3fl]

This module satisfies the AHEP3 (Accreditation of Higher Education Programmes, Third Edition) Learning Outcomes that are listed in brackets after each learning outcome above. For further details on AHEP3 Learning Outcomes, see the downloads section of our accreditation webpage.

Syllabus

Syllabus 

Teaching Methods

Learning and Teaching Methods

NOTE: This summary of teaching methods is representative of a normal Semester. Owing to the ongoing disruption from Covid-19, the exact method of delivery will be different in 2020/21.

Lectures: 24hrs
Problem Solving Classes: 5hrs
Independent Study: 117hrs

Teaching Materials

Learning and Teaching Materials

All teaching materials will be available via Blackboard (MOLE).

Assessment

Assessment

Exam 70% (2hrs)

Coursework 30%

No resit examination is available for this module.

Feedback

Feedback

Students will receive regular home assignments that will be evaluated as correct/incorrect. They will compare their solutions with the correct one provided during the Problem Solving Classes. They will have two graded tests: one after the calculus of variation section, another during the optimal control part.

Student Evaluation

Student Evaluation

Students are encouraged to provide feedback during the module direct to the lecturer. Students will also have the opportunity to provide formal feedback via the Faculty of Engineering Student Evaluation Survey at the end of each semester.

You can view the latest Department response to the survey feedback here.

Recommended Reading

Recommended Reading