IC3501 Advanced Control Theory Syllabus:
IC3501 Advanced Control Theory Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES:
To provide knowledge on design in state variable form
To provide knowledge in phase plane analysis.
To give basic knowledge in describing function analysis.
To study the design of optimal controller.
To study the design of optimal estimator including Kalman Filter
UNIT – I STATE VARIABLE DESIGN
Introduction to state Model- effect of state Feedback- Necessary and Sufficient Condition for ArbitraryPole-placement- pole placement Design- design of state Observers- separation principle- servo design: -State Feedback with integral control
UNIT -II PHASE PLANE ANALYSIS
Features of linear and non-linear systems – Common physical non-linearities – Methods of linearization Concept of phase portraits – Singular points – Limit cycles – Construction of phase portraits – Phase plane analysis of linear and non-linear systems – Isocline method.
UNIT – III DESCRIBING FUNCTION ANALYSIS
Basic concepts, derivation of describing functions for common non-linearity – Describing function analysis of non-linear systems – limit cycles – Stability of oscillations.
UNIT – IV OPTIMAL ESTIMATION
Introduction – Time varying optimal control – LQR steady state optimal control – Solution of Ricatti’sequation – Application examples.
UNIT – V OPTIMAL ESTIMATION
Optimal estimation – Kalman Bucy Filter-Solution by duality principle-Discrete systems-Kalman Filter-Application examples.
TOTAL: 45 PERIODS
SKILL DEVELOPMENT ACTIVITIES (Group Seminar/Mini Project/Assignment/Content Preparation / Quiz/ Surprise Test / Solving GATE questions/ etc)
1. Seminar on different non-linear process.
2. Design a state observer and state feedback controller for any process.
3. Analyze the effect of various non linearities on the system.
4. Apply optimal estimation techniques for any application to meet the objective.
5. Design of LQR control for any application.
COURSE OUTCOMES:
Students able to
CO1 Ability design observer of state feedback controller.
CO2 Ability to analyze the non-linear systems.
CO3 Ability to design optimal controller for any application.
CO4 Apply optimal estimation techniques for specific objective functions.
CO5 Apply advanced control to practical engineering problems
TEXT BOOKS:
1. K. P. Mohandas, “Modern Control Engineering”, Sanguine Technical Publishers, 2006.
2. G. J. Thaler, “Automatic Control Systems”, Jaico Publishing House 1993.
3. M.Gopal, Modern Control System Theory, New Age International Publishers, 2002.
REFERENCES:
1. William S Levine, “Control System Fundamentals,” The Control Handbook, CRC Press, Tayler and Francies Group, 2011.
2. Ashish Tewari, ‘Modern Control Design with Matlab and Simulink’, John Wiley, New Delhi, 2002.
3. K. Ogata, ‘Modern Control Engineering’, 4th Edition, PHI, New Delhi, 2002.
4. T. Glad and L. Ljung,, “Control Theory –Multivariable and Non-Linear Methods”, Taylor & Francis, 2002
5. D.S.Naidu, “Optimal Control Systems” First Indian Reprint, CRC Press, 2009