## TIEE3034 Syllabus - Non Linear Control - 2022 Regulation Anna University

TIEE3034

NON LINEAR CONTROL

L T P C

3003

COURSE OBJECTIVES:
• 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

(7+2 SKILL) 9

Introduction to state Model- effect of state Feedback- Necessary and Sufficient Condition for Arbitrary Pole-placement- pole placement Design- design of state Observers- separation principle- servo design: -State Feedback with integral control.

UNIT II

PHASE PLANE ANALYSIS

(7+2 SKILL) 9

Features of linear and non-linear systems - Common physical non-linearities – Methods of linearization Concept of phase portraits – Singular points – Limit cycles – Construction of phaseportraits – Phase plane analysis of linear and non-linear systems – Isocline method.

UNIT III

DESCRIBING FUNCTION ANALYSIS

(7+2 SKILL) 9

Basic concepts, derivation of describing functions for common non-linearities – Describing function analysis of non-linear systems – limit cycles – Stability of oscillations.

UNIT IV

OPTIMAL CONTROL

(7+2 SKILL) 9

Introduction - Time varying optimal control – LQR steady state optimal control – Solution of Ricatti’s equation – Application examples.

UNIT V

OPTIMAL ESTIMATION

(7+2 SKILL) 9

Optimal estimation – KalmanBucy Filter-Solution by duality principle-Discrete systems- Kalman Filter-Application examples.

TOTAL: 45 PERIODS

COURSE OUTCOMES: Students able to
CO1 Able to apply the knowledge gained on state feedback control and nonlinear control. (L3)
CO2 Ability to carryout analysis for common nonlinearities in a system. (L4)
CO3 Apply advanced control theory to practical engineering problems. (L3)
CO4 Design optimal controller. (L5)
CO5 Understand the basics and Importance of Kalman filter. (L2)

TEXT BOOKS:
1. G. J. Thaler, “Automatic Control Systems”, Jaico Publishing House 1993.
2. M.Gopal, Modern Control System Theory, New Age International Publishers, 2002, 2nd Edition.
3. K. P. Mohandas, “Modern Control Engineering”, Sanguine Technical Publishers, 2006, 1st Edition.

REFERENCES:
1. Ashish Tewari, ‘Modern Control Design with Matlab and Simulink’, John Wiley, New Delhi, 2002, 1st Edition.
2. K. Ogata, ‘Modern Control Engineering’, 5th Edition, PHI, New Delhi, 2009.
3. T. Glad and L. Ljung,, “Control Theory –Multivariable and Non-Linear Methods”, Taylor & Francis, 2002, 1st Edition.
4. D.S.Naidu, “Optimal Control Systems” First Indian Reprint, CRC Press, 2009, 1st Edition.
5. William S Levine, “Control System Fundamentals,” The Control Handbook, CRC Press, Tayler and Francies Group, 2011, 2nd Edition.