Optimal Control detailed syllabus for Instrumentation & Control Engineering (ICE) for 2021 regulation curriculum has been taken from the Anna Universities official website and presented for the ICE students. For course code, course name, number of credits for a course and other scheme related information, do visit full semester subjects post given below.
For Instrumentation & Control Engineering 5th Sem scheme and its subjects, do visit ICE 5th Sem 2021 regulation scheme. For Professional Elective-III scheme and its subjects refer to ICE Professional Elective-III syllabus scheme. The detailed syllabus of optimal control is as follows.
Course Objectives:
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Unit I
CALCULUS OF VARIATIONS AND OPTIMAL CONTROL
Introduction – Performance Index- Constraints – Formal statement of optimal control system – Calculus of variations – Function, Functional, Increment, Differential and variation and optimum of function and functional – The basic variation problem Extrema of functions and functional with conditions – variational approach to optimal control system
Unit II
LINEAR QUADRATIC OPTIMAL CONTROL SYSTEM
Problem formulation – Finite time Linear Quadratic regulator – Infinite time LQR system: Time Varying case- Time-invariant case – Stability issues of Time-invariant regulator – Linear Quadratic Tracking system: Fine time case and Infinite time case
Unit III
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Unit IV
PONTRYAGIN MINIMUM PRINCIPLE
Pontryagin Minimum Principle – Dynamic Programming:- Principle of optimality, optimal control using Dynamic Programming – Optimal Control of Continuous time and Discrete-time systems – Hamilton-Jacobi-Bellman Equation – LQR system using H-J-B equation
Unit V
CONSTRAINED OPTIMAL CONTROL SYSTEMS
Time optimal control systems – Fuel Optimal Control Systems- Energy Optimal Control Systems – Optimal Control Systems with State Constraints
Skill Development Activities
(Group Seminar/Mini Project/Assignment/Content Preparation / Quiz/ Surprise Test / Solving GATE questions/ etc)
- Interactive MATLAB based project learning in an optimal control system.
- Familiarize yourself with optimal control software tool boxes.
- Arrange a group brainstorming process to generate new ideas and possible solutions to an optimal control problem in any field.
- Analyse the difference between optimal control systems with other types of control system.
- Homework assignment on optimal control.
Course Outcomes:
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Text Books:
- Donald E. Kirk, Optimal Control Theory – An Introduction, Dover Publications, Inc. Mineola, New York, 2012, 10th Edition.
Reference Books:
- D. Subbaram Naidu, Optimal Control Systems, CRC Press, New York, 2003, 1st Edition.
- Frank L. Lewis, Draguna Vrabie, Vassilis L. Syrmos, Optimal Control, 3rd Edition, Wiley Publication, 2012, 3rd Edition.
- Yan Wang, Cheng-Lin Liu, Zhi-Cheng Ji, Quantitative Analysis and Optimal Control of Energy Efficiency in Discrete Manufacturing System, Springer, 2020, 1st Edition.
List of Open Source Software/ Learning Website:
- https://in.mathworks.com/discovery/optimal-control.html#lqrlqg
- https://www.codeproject.com/Articles/863257/Simple-Software-for-Optimal-Control
- https://joss.theoj.org/papers/10.21105/joss.02809
- https://www.ieee-ras.org/model-based-optimization-for-robotics/resources/optimization-tools
- https://www.vlab.co.in/
- https://ocw.mit.edu/courses/16-323-principles-of-optimal-control-spring-2008/
For detailed syllabus of all the other subjects of Instrumentation & Control Engineering 5th Sem, visit ICE 5th Sem subject syllabuses for 2021 regulation.
For all Instrumentation & Control Engineering results, visit Anna University ICE all semester results direct link.