147405 CONTROL SYSTEMS Syllabus ECE 4th Semester, Anna University of Technology

AIM

To familiarize the students with concepts related to the operation analysis and stabilization of control systems

OBJECTIVES

• To understand the open loop and closed loop (feedback ) systems
• To understand time domain and frequency domain analysis of control systems required for stability analysis.
• To understand the compensation technique that can be used to stabilize control systems

1.         CONTROL SYSTEM MODELING                                                                       9

Basic Elements of Control System – Open loop and Closed loop systems - Differential equation - Transfer function, Modeling of Electric systems, Translational and rotational mechanical systems - Block diagram reduction Techniques - Signal flow graph

2.         TIME RESPONSE ANALYSIS                                                                             9 

Time response analysis - First Order Systems - Impulse and Step Response analysis of second order systems - Steady state errors – P, PI, PD and PID Compensation, Analysis using MATLAB

3. FREQUENCY RESPONSE ANALYSIS                                                                     9

Frequency Response - Bode Plot, Polar Plot, Nyquist Plot - Frequency Domain specifications from the plots - Constant M and N Circles - Nichol’s Chart - Use of Nichol’s Chart in Control System Analysis. Series, Parallel, series-parallel Compensators - Lead, Lag, and Lead Lag Compensators, Analysis using MATLAB.

               

4. STABILITY ANALYSIS                                                                                                9

Stability, Routh-Hurwitz Criterion, Root Locus Technique, Construction of Root Locus, Stability, Dominant Poles, Application of Root Locus Diagram - Nyquist Stability Criterion - Relative Stability, Analysis using MATLAB

5. STATE VARIABLE ANALYSIS & DIGITAL CONTROL SYSTEMS                       9

State space representation of Continuous Time systems – State equations – Transfer function from State Variable Representation – Solutions of the state equations - Concepts of Controllability and Observability – State space representation  for Discrete time systems. Sampled Data control systems – Sampling Theorem – Sample & Hold – Open loop & Closed loop sampled data systems.

                                                                                                         TOTAL : 45  PERIODS

TEXTBOOK:

1.            J.Nagrath and M.Gopal,” Control System Engineering”, New Age International Publishers, 5^th Edition, 2007.

2.            M.Gopal, “Control System – Principles and Design”, Tata McGraw Hill, 2^nd Edition, 2002.

REFERENCES:

1.         Benjamin.C.Kuo, “Automatic control systems”, Prentice Hall of India, 7^th Edition,1995.

2.         M.Gopal, Digital Control and State Variable Methods, 2^nd Edition, TMH, 2007.

3.         Schaum’s Outline Series,’Feedback and Control Systems’ Tata McGraw-

Hill, 2007.

4.         John J.D’azzo & Constantine H.Houpis, ’Linear control system analysis and design’, Tata McGrow-Hill, Inc., 1995.

5.         Richard C. Dorf & Robert H. Bishop, “ Modern Control Systems”, Addidon – Wesley, 1999.