PTCIC334 Non Linear Control Syllabus:
PTCIC334 Non Linear Control Syllabus – Anna University Part time Regulation 2023
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 Arbitrary Pole-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 phaseportraits – 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-linearities – Describing function analysis of non-linear systems – limit cycles – Stability of oscillations.
UNIT IV OPTIMAL CONTROL
Introduction – Time varying optimal control – LQR steady state optimal control – Solution of Ricatti’s equation – Application examples.
UNIT V OPTIMAL ESTIMATION
Optimal estimation – KalmanBucy Filter-Solution by duality principle-Discrete systemsKalman Filter-Application examples.
TOTAL: 45 PERIODS
SKILL DEVELOPMENT ACTIVITIES (Group Seminar/Mini Project/Assignment/Content Preparation / Quiz/ Surprise Test / Solving GATE questions/ etc)
1 Design of linear quadratic regulator (LQR) control system for any application of your own
2 Familiarization of Kalman filter in MATLAB
3 Seminar on pole placement design
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)
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.