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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

26

TEXTBOOK:

1. J.Nagrath and M.Gopal,” Control System Engineering”, New Age International

Publishers, 5th Edition, 2007.

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

Edition, 2002.

REFERENCES:

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

Edition,1995.

2. M.Gopal, Digital Control and State Variable Methods, 2nd 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.

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