DE15 CONTROL ENGINEERING

1. Mathematical Models 10 hours

1.1 Terminology and basic structure of feedback control systems.

1.2 Concepts of state variable models, impulse response models, and transfer function (TF) models.

1.3 TF models of mechanical, electrical, thermal, and hydraulic systems.

1.4 Systems with dead-time elements.

1.5 Models of disturbances and standard test signals.

1.6 Dynamic system response to standard test signals.

I [1 (1.1-1.2), 2)]; II [1 (1.1),3 (3.2),4(4.3,4.6),7(7.2)]

2. Block Diagram and Signal Graph Models of Feedback Systems 10 hours

2.1 Block diagram manipulations.

2.2 Mason’s gain rule.

2.3 Models of industrial control devices: DC and AC motors, tachogenerators, synchros, LVDT, electrohydraulic valves, hydraulic actuators, elecropneumatic transducers, flow control valves.

2.4 Application examples of motion control (position, and speed), and process control (temperature, and liquid-level).

I [3]; II[3 (3.4 to 3.9),4 (4.5), 7(7.6)]; III [7(7.1-7.8)]

3. Basic Characteristics of Feedback Control Systems 10 hours

3.1 Stability.

3.2 Steady-state accuracy, transient accuracy.

3.3 Disturbance rejection.

3.4 Insensitivity and robustness.

3.5 Basic modes of feedback control: proportional, integral, and derivative.

I [4 (4.1-4.6)]; II [6 (6.2), 7(7.3,7.5), 10 (10.4)]; III [5(5.1)]

4. Stability and Performance (Time Domain) 10 hours

4.1 Concepts of stability.

4.2 Routh stability criterion.

4.3 Performance specifications.

4.4 Steady-state error constants and system types.

4.5 The root locus concepts.

4.6 Construction of root loci.

I [5, 6 (6.1-6.6), 7 (7.1-7.4)]; II [6 (6.1,6.2,6.5), 7(7.3,7.4), 8(8.1-8.3)]; III [9 (9.5-9.8), 13 (13.1-13.9)]

5. Stability and Performance (Frequency Domain) 10 hours

5.1 The Nyquist stability criterion.

5.2 Stability margins.

5.3 The Bode plots.

5.4 Stability margins on the Bode plots.

5.5 Performance specifications.

5.6 Evaluating the closed-loop frequency response.

5.7 Constant-M circles.

5.8 Nichols chart.

I [8, 9 (9.1-9.5)]; II [9 (9.1,9.2,9.5,9.14,9.15,9.17,9.18,9.20)]

6. Introduction to Design and Compensation 5 hours

6.1 Derivative error compensation.

6.2 Derivative output compensation.

6.3 Integral error compensation.

6.4 Lead and lag compensation.

I [6 (6.7), 7 (7.5), 10 (10.2)]; II [10 (10.1,10.5,10.6)]

7. Implementation of Common Compensators 5 hours

7.1 Passive electric networks.

7.2 Op-Amp usage.

7.3 Use of digital computer as compensator device.

7.4 Tuning of PID controllers.

I [11]; II [4 (4.9), 10 (10.2,10.4) 11(11.3)]

Text Book

I. M.Gopal, Control Systems: Principles and Design, 2^nd edition, New Delhi : Tata McGraw-Hill, 2002.

II. Benjamin C Kuo “Automatic Control Systems”, 7^th Edition, Prentice Hall of India Pvt Ltd, New Delhi, 1995.

III. Joseph J Distefano, III, Allen R Stubberud and Ivan J Williams, “Feed Back and Control Systems, “SCHAUM’S Out Lines, 2^nd Edition, Tata McGraw-Hill, New Delhi-2003.

Reference Books

1. B.C. Kuo and F. Golnaraghi, Automatic Control Systems, 8^th edition, John Wiley, 2003

2. K. Ogata, Modern Control Engineering, 4^th edition, Pearson Education, 2002