To teach students to build and analyze models for time-varying systems and non-linear systems.
To develop the skills needed to design adaptive controllers such as gain-scheduled adaptive controller, Model-reference adaptive controller and Self-tuning controller for various applications
To make the students learn to formulate optimal control schemes
To provide basic knowledge about Fractional-order systems and Fractional-order- controller and to lay the foundation for the systematic approach to Design controller for fractional order systems
To introduce FDI Techniques, such as Principal component Analysis, state observer to detect and diagnose faults in sensors and actuators.
UNIT I CONTROL OF TIME-VARYING AND NONLINEAR SYSTEMS 6+6
Models for Time-varying and Nonlinear systems – Input signal design for Identification –Realtime parameter estimation – Model Validation – Types of Adaptive Control – Gain scheduling – Adaptive Control – Deterministic Self-tuning Controller and Model Reference Adaptive Controller – Control of
Hammerstein and Wiener Systems.
UNIT II OPTIMAL CONTROL & FILTERING 6+6
Introduction – Performance Measure for optimal control problem – Dynamic Programming – Computational Procedure for solving Control Problem – LQR – Introduction to Optimal Filtering – Discrete Kalman Filter – Linear Quadratic Gaussian (LQG)
UNIT III FRACTIONAL ORDER SYSTEM & CONTROLLER 6+6
Fractional-order Calculus and Its Computations – Frequency and Time Domain Analysis of Fractional- Order Linear Systems – Filter Approximations to Fractional-Order Differentiations – Model reduction
Techniques for Fractional Order Systems –Controller Design Studies for Fractional Order.
UNIT IV H-INFINITY CONTROLLER 6+6
Introduction – Norms for Signals – Robust Stability – Robust Performance – Small Gain Theorem – Optimal H2 Controller Design – H-Infinity Controller Design –– Effects of Weighting Functions in HInfinity Control.
UNIT V FAULT DIAGNOSIS AND FAULT-TOLERANT CONTROL 6+6
Process Monitoring – Introduction – Statistical Process Control – Fault Detection with Principal Component Analysis – Fault Detection with State Observers – Fault Detection with signal models – Fault Detection of Control Loops- Sensor and Actuator Fault-Tolerant Control Design.
TOTAL: 60 PERIODS
Ability to Apply knowledge of mathematics, science, and engineering to build and analyze models
for time-varying systems and non-linear systems.
Ability to design and implement adaptive controllers such as gain-scheduled adaptive controller,
Model-reference adaptive controller and Self-tuning controller
Ability to Identify, formulate, and solve optimal controller
Ability to Analyze Fractional-order systems, Fractional-order- controller and Design controller for fractional order systems
Ability to design and implement H2 and H-infinity Controllers
Ability to use the FDI Techniques, such as Principal component Analysis, state observer to detect and diagnose faults in sensors and actuators.
1 K.J. Astrom and B.J.Wittenmark, “Adaptive Control”, Pearson Education, Second Edition, 2008.
2 Donald E.Kirk, “Optimal Control Theory – An Introduction”, Dover Publications, Inc. Mineola, New York, 2012
3 D.Xue, Y.Q.Chen, D.P.Atherton, “Linear Feedback Control Analysis and Design with MATLAB,
Advances In Design and Control”, Society for Industrial and Applied Mathematics, 2008.
4 R. Isermann, “Fault-Diagnosis Systems: An Introduction from Fault Detection to Fault Tolerance”, Springer, 2006.