Course Details
Subject {L-T-P / C} : EE6308 : Optimal and Robust Control { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Asim Kumar Naskar
Syllabus
| Module 1 : |
Static Optimization: unconstrained and constrained cases, Lagrange multiplier, KKT condition, Solution Methods: [7Hrs] |
| Module 2 : |
Dynamic programming, Hamilton-Jacobi-Bellman equation, optimal control problems. [5Hrs] |
| Module 3 : |
Calculus of variations, Linear Quadratic Regulator problem, and its solution. [6Hrs] |
| Module 4 : |
Signal and system norms, computing H2 and H-infinity norms. Feedback Interconnection, Well-Posedness, and Small Gain Theorems and Parameter Uncertainty. [7Hrs] |
| Module 5 : |
Bounded Real Lemma and Riccati equation and their solutions [6Hrs] |
| Module 6 : |
H2 and H-infinity controller synthesis in the Linear Matrix Inequality framework. [5Hrs]
|
Course Objective
| 1 . |
The course will provide an understanding of constrained and unconstrained optimization problems. |
| 2 . |
The course will provide an understanding of dynamic programming, the calculus of variations, and optimal control problems. |
| 3 . |
The course will provide an understanding of robust control problems. |
| 4 . |
The course will provide training on using software tools in the field. |
Course Outcome
| 1 . |
Will be able to demonstrate basic knowledge of static and dynamic optimization and its solutions. |
| 2 . |
Will be able to demonstrate basic knowledge of dynamic programming, variational calculus, and optimal paths.
|
| 3 . |
Will be able to formulate and solve optimal control problems based on dynamic constraint and objective function specifications.
|
| 4 . |
Will be able to demonstrate basic knowledge of signal and systems norms (H2 and H-infinity) and corresponding LMI conditions. |
| 5 . |
Will be able to formulate related LMI conditions for robust control problems, guaranteeing stability and well-posedness.
|
| 6 . |
Will be able to utilize software toolboxes from MATLAB and others. |
Essential Reading
| 1 . |
S. Boyd and L. Vandenberghe, Convex Optimization, Oxford Univ. Press , 2004 |
| 2 . |
Donald E. Kirk, Optimal Control Theory: An Introduction, Dover , 2004 |
| 3 . |
Kemin Zhou and John C. Doyle, Essentials of Robust Control, Pearson , 1997 |
Supplementary Reading
| 1 . |
Geir E. Dullerud and Fernando Paganini, A Course in Robust Control Theory: A Convex Approach, Springer , 2010 |
Journal and Conferences
| 1 . |