Optimal Control Theory Detailed Syllabus for Control Engineering/ Control Systems M.Tech first year second sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Optimal Control Theory M.Tech 2017-2018 (R17) first year second sem is as follows.
M.Tech. I Year II Sem.
Prerequisite: Control Systems
Course Objectives:
- To provide a basic knowledge of the theoretical foundations of optimal control
- To develop skills needed to design controllers using available optimal control theory and software
- To implement optimization methods for optimal control.
Course Outcomes: After the completion of this course, the student will be able to
- Understand the design and implement system identification experiments
- Apply input-output experimental data for identification of mathematical dynamical models.
- Apply singular value techniques to analyze the robustness of control systems.
- Incorporate frequency-domain-based specifications into multivariable control system designs.
- Apply H-infinity methods to design controllers
UNIT – I: Static optimization: An overview of optimization problem – concepts and terms related to optimization – constrained and unconstrained problems and their solutions using different techniques; such as Gradient method, steepest and decent method, conjugate gradient method and Newton’s method
UNIT – II: Convex optimization: Convex set and convex function – convex optimization problem – quadratic optimization problem – Karush – Kuhn – Tucker (KKT) necessary and sufficient conditions for quadratic optimization problem.
UNIT – III: Primal and dual optimization problem: Interior point method for convex optimization – linear programming – primal and dual problems and basic concept of multi– objective optimization problem.
UNIT – IV: Dynamic Optimization: Concept of functional, different types of performance indices, Calculus of variation to optimal control problem – Fundamental concepts of functional involving a single and multiple independent functions, necessary and sufficient conditions for optimal solution of problem
UNIT V: Formulation of optimal regulator control problem: State the linear quadratic regulator problem
and derive the solution of optimal regulator control problem; remarks on weighting matrices, solution of Riccati equation by iterative method and eigen-value and eigen vector methods.
TEXT BOOKS:
- Jasbir S. Arora, Introduction to optimum design, Elesevier, 2005.
- D.S. Naidu, Optimal control systems, CRC Press, First edition, 2002.
- Ravindran, K. M. Ragsdell, and G. V. Reklaitis, Engineering optimization: Methods and applications, Wiley India Edition.
REFERENCES:
- Donald E. Kirk, Optimal Control Theory an Introduction, Prentice – Hall Network series – First edition, 1970.
- Arturo Locatelli, Optimal control: An Introduction, Birkhauser Verlag, 2001.
- S. H. Zak, Systems and Control, Indian Edition, Oxford University, 2003.
- Niclas Anreasson, Anton Evgrafov and Michael Patriksson, An introduction to continuous optimization, Overseas Press (India) Pvt. Ltd.
For all other M.Tech 1st Year 2nd Sem syllabus go to JNTUH M.Tech Control Engineering/ Control Systems 1st Year 2nd Sem Course Structure for (R17) Batch.
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