ISDLO8042: Optimal Control System Syllabus for IS 8th Sem 2019 Pattern Mumbai University (Department Level Optional Course-4)

Optimal Control System detailed syllabus scheme for Instrumentation Engineering (IS), 2019 regulation has been taken from the MU official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For 8th Sem Scheme of Instrumentation Engineering (IS), 2019 Pattern, do visit IS 8th Sem Scheme, 2019 Pattern. For the Department Level Optional Course-4 scheme of 8th Sem 2019 regulation, refer to IS 8th Sem Department Level Optional Course-4 Scheme 2019 Pattern. The detail syllabus for optimal control system is as follows.

Optimal Control System Syllabus for Instrumentation Engineering BE 8th Sem 2019 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

The students will be able to

1. Identify various optimal control problems with performance measure with minimum time, minimum fuel, minimum energy, terminal cost and general problems.
2. Describe the principle of calculus of variation, wherein to determine a function that minimizes a specified functional.
3. Derive the necessary conditions for optimal control problem, and optimal law for the linear regulator problem.
4. Apply variational calculus for solving discrete linear quadratic regulator and tracking problems.
5. Explain the method of dynamic programming leading to a functional equation that is amenable to solution by using simulation software.
6. Solve optimal control problems.

Prerequisites:

Knowledge of Linear algebra, Fourier Series, and differential calculus.

Module 1

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Module 2

Calculus of variation I Fundamental concepts: functional, Linearity of functional, closeness, increment, variation, maxima and minima of functional, fundamental theorem of calculus of variation. Extremum of functional of single function: fixed and free end point problems, Extremum of functional of several independent function: fixed and free end point problems. 10 CO2

Module 3

Calculus of variation II Constrained extremum of functions: elimination method, Lagrange multiplier method Constrained extremum of functionals: point constraint, differential equation constraints, isoperimetric constraints. The Variational approach to optimal control problems: necessary conditions for optimal control for different boundary conditions 10 CO3

Module 4

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Module 5

Discrete time Optimal control systems: variational calculus for discrete time systems, Discrete time LQR and tracking systems 06 CO5

Module 6

Dynamic Programming: Principle of optimality, application of principle of optimality to decision making, dynamic programming applied to routing problem, Hamilton-Jacobi-Bellman (HJB) equation, LQR system using HJB equation 12 CO6

Internal Assessment:

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Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 Marks.
2. Total 4 questions need to be solved.
3. Question No. 1 will be compulsory and based on entire syllabus wherein sub questions of 4 to 5 marks will be asked.
4. Remaining questions will be mixed in nature.
5. In question paper weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus.

Text Books:

1. D. S. Naidu, Optimal Control System, CRC Press LLC – 2003,
2. D. E. Kirk, Optimal Control Theory – An Introduction, Dover Publication, New York -1998.

Reference Books:

1. B.D.O. Anderson and J.B. Moore. Optimal Control, Linear Quadratic Methods. PrenticeHall Inc., Englewood Cliffs, NJ, 1989.
2. H. Kwakernaak and R. Sivan. Linear Optimal Control Systems. Wiley-Interscience, New York, 1972.
3. A. Sage. Optimum systems control. Prentice Hall, 2nd edition, 1977
4. F. L. Lewis and V. L. Syrmos. Optimal Control theory. Wiley Interscience, 2nd edition, 1995.
5. R. D. Robinett, D. G. Wilson, G. R. Eisler, and J. E. Hurtado. Applied dynamic programming for optimization of dynamical systems. Advances in Design and Control. SIAM,Philadelphia, 2005.
6. K. Ogata, Discrete Time Control System, Second Edition, PHI, Inc. 1995.

For detail Syllabus of all subjects of Instrumentation Engineering (IS) 8th Sem 2019 regulation, visit IS 8th Sem Subjects of 2019 Pattern.