Automatic Control Systems

IE209 AUTOMATIC CONTROL SYSTEM

Objectives:

1. Understand basic control concept.

2. Understand simple mathematical modeling.

3. Able to design controller in time domain as well as in frequency domain.

4. Study and analysis of control system in time and frequency domain.

Unit 1

Introduction to control systems, Introduction to design process. Industrial application of feed forward and feedback control system (amplifier Demonstration for open loop & closed loop).Introduction to linear & nonlinear, Modeling in frequency domain (mechanical, electrical, electromechanical systems). Steady state errors for unity feedback systems. Static error constants and system type. Steady state errors for disturbances, Design system parameters from SSE. Case study.

(08 hrs)

Unit 2

Reduction of multiple system , block diagram techniques, signal flow graph, Manson窶冱 gain formula, similarity transformation. DC gain.Time response analysis ( 1st , 2nd order, higher order approximation). System response with additional poles. System response with zeros

(08 hrs)

Unit 3

Nominal sensitivity functions, Closed loop stability based on characteristic Polynomial. Stability and Polynomial analysis. Routh-Harwitz criteria, Root locus techniques. Sketching and refining of Root Locus, Controller Design problems.

(08 hrs)

Unit 4

Frequency domain design limitations. Frequency response analysis. Bode plot. Asymptotic approximations. Stability, Gain Margin, Phase Margin via Bode plot. Relationship between time domain and frequency domain. Controller design. Compensation - Lead, Lag, Lead-Lag compensation design.

(10 hrs)

Unit 5

Polar plot, Nyquist plot, Stability, Gain Margin, Phase Margin via Nyquist plot. General state space representation for LTI system. Conversion from state space to transfer function form and vice versa. Linearization of state space.

(10 hrs)

Unit 6

Stability in state space. Controllability and observability. State regulator design.
Controller design .

(08 hrs)

Text Books:

ﾂ｡ Control System Engineering- Norman Nise, Wiley International

ﾂ｡ Control System Engineering- Nagrath and Gopal , Tata-McGrawHill Publication

Reference Books:

ﾂ｡ Control System Design 窶・G. Goodwin,S.Graebe,Mario Salgado, Pearson Education

ﾂ｡ Feedback Control of Dynamic Systems- G. Franklin,J.Powell,A. Naeini, Pearson.