Control Systems

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.