__EE3503__

__CONTROL SYSTEMS__

**COURSE OBJECTIVES:**

•
To make the students to familiarize with various representations of systems.

•
To make the students to analyze the stability of linear systems in the time
domain and frequency domain.

•
To make the students to analyze the stability of linear systems in the
frequency domain.

•
To make the students to design compensator based on the time and frequency
domain specifications.ms, mainly state variable model

•
To develop linear models: mainly state variable model and Transfer function
model

**UNIT I**

**MODELING OF LINEAR TIME INVARIANT SYSTEM (LTIV)**

Control
system: Open loop and Closed loop Feedback control system characteristics -
First principle modeling: Mechanical, Electrical and Electromechanical systems
- Transfer function representations: Block diagram and Signal flow graph.

**UNIT II**

**TIME DOMAIN ANALYSIS**

Standard
test inputs - Time response - Time domain specifications - Stability analysis:
Concept of stability Routh Hurwitz stability criterion - Root locus:
Construction and Interpretation. Effect of adding poles and zeros

**UNIT III**

**FREQUENCY DOMAIN ANALYSIS**

Bode
plot, Polar plot and Nyquist plot: - Frequency domain specifications
Introduction to closed loop Frequency Response. Effect of adding lag and lead
compensators.

**UNIT IV**

**STATE VARIABLE ANALYSIS**

State
variable formulation - Non uniqueness of state space model - State transition
matrix -Eigen values - Eigen vectors - Free and forced responses for Time
Invariant and Time Varying Systems - Controllability - Observability

**UNIT V**

**DESIGN OF FEED BACK CONTROL SYSTEM**

Design
specifications Lead, Lag and Lag-lead compensators using Root locus and Bode
plot techniques -PID controller - Design using reaction curve and Ziegler-Nichols
technique- PID control in State Feedback form.

**COURSE OUTCOMES:**

Upon
the successful completion of the course, students will be able to:

**CO1:**
Represent simple systems in transfer function and state variable forms.

**CO2:**
Analyze simple systems in time domain.

**CO3:**
Analyze simple systems in frequency domain.

**CO4:**
Infer the stability of systems in time and frequency domain.

**CO5:**
Interpret characteristics of the system and find out solution for simple
control problems.

**TOTAL:
45 PERIODS**

**TEXT BOOKS:**

1.
Benjamin C. Kuo, "Automatic Control Systems", 7th edition PHI
Learning Private Ltd, 2010.

2.
Nagarath, I.J. and Gopal, M., "Control Systems Engineering", New Age
International Publishers 2010.

**REFERENCES:**

1.
Richard C.Dorf and Bishop, R.H., "Modern Control Systems", Education
Pearson, 3 Impression 2009.

2.
John J.D., Azzo Constantine, H. and Houpis Sttuart, N Sheldon, "Linear
Control System Analysis and Design with MATLAB", CRC Taylor& Francis
Reprint 2009.

3.
Katsuhiko Ogata, "Modern Control Engineering", PHI Learning Private
Ltd, 5th Edition, 2010

4.
NPTEL Video Lecture Notes on "Control Engineering" by
Prof.S.D.Agashe, IIT Bombay.