Course Details
Subject {L-T-P / C} : EE6332 : Robust Control { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Prof. Asim Kumar Naskar
Syllabus
Signal and system norms, computing H2 and H8 norms. [6Hrs]
Passivity and small gain theorems. [3Hrs]
Feedback interconnection, well-posedness. [4Hrs]
Parameter uncertainty linear fractional transformation, H8 conditions. [4Hrs]
Bounded Real Lemma, Riccati equation solution [6Hrs]
H8 control using state and output information. [6Hrs]
H8 controller synthesis solving Linear matrix inequality constraints. [2Hrs]
µ-synthesis, mixed sensitivity design.[3Hrs]
(if time permits).
Some Case studies.[2Hrs]
H8 loop shaping [2Hrs]
Course Objectives
- To understand signal norms, system norms and their effectiveness to quantify robustness in a linear system.
- To get acquainted with the Riccati equation, inequality, and the LMI framework
- To understand different methods of robust controller synthesis.
Course Outcomes
At the end of the course, students will be able <br /> <br />CO1. To calculate the H2 and H8 norm of a system. <br />CO2. To formulate LFT structure from system description. <br />CO3. To formulate and solve robust control problems. <br />CO4. To formulate and solve the Riccati equation. <br />CO5. To represent problems in the LMI framework. <br />CO6. To use computational tools e.g. Matlab Toolbox, CVX, SeDuMi to solve robust control problems.
Essential Reading
- K. Zhou and J. C. Doyle, Essentials of Robust Control, Prentice Hall , 1996
- J. C. Doyle, B. A. Francis, A. R. Tannenbaum, Feedback Control Theory, Dover , 2009
Supplementary Reading
- M. Green, D.E. Johnson and D.J. N. Limebeer, Linear Robust Control, Prentice Hall , 2007
- Geir E. Dullerud , Fernando Paganini, A Course in Robust Control Theory: A Convex Approach, Springer , 2001