Study Material's for Control System Engineering(ECE-JNTUA R15)

Objectives:

To make the students learn about:

Merits and demerits of open loop and closed loop systems; the effect of feedback
The use of block diagram algebra and Mason’s gain formula to find the effective transfer function
Transient and steady state response , time domain specifications
The concept of Root loci
Frequency domain specifications, Bode diagrams and Nyquist plots
The fundamental aspects of modern control

Outcomes:

After completing the course, the student should be able to do the following:

Evaluate the effective transfer function of a system from input to output using (i)block diagram reduction techniques (ii) Mason’s gain formula
Compute the steady state errors and transient response characteristics for a given system and excitation
Determine the absolute stability and relative stability of a system
Draw root loci
Design a compensator to accomplish desired performance
Derive state space model of a given physical system and solve the state equation

Syllabus:

UNIT – I INTRODUCTION

Open Loop and closed loop control systems and their differences- Examples of control systems- Classification of control systems, Feedback Characteristics, Effects of positive and negative feedback. Mathematical models – Differential equations of Translational and Rotational mechanical systems, and Electrical Systems, Block diagram reduction methods Signal flow graph - Reduction using Mason’s gain formula. Transfer Function of DC Servo motor - AC Servo motor - Synchro transmitter and Receiver

UNIT-II TIME RESPONSE ANALYSIS

Step Response - Impulse Response - Time response of first order systems – Characteristic Equation of Feedback control systems, Transient response of second order systems - Time domain specifications – Steady state response - Steady state errors and error constants

UNIT – III STABILITY

The concept of stability – Routh’s stability criterion – Stability and conditional stability – limitations of Routh’s stability. The root locus concept - construction of root loci-effects of adding poles and zeros to G(s)H(s) on the root loci.

UNIT – IV FREQUENCY RESPONSE ANALYSIS

Introduction, Frequency domain specifications-Bode diagrams-Determination of Frequency domain specifications and transfer function from the Bode Diagram-Stability Analysis from Bode Plots. Polar Plots-Nyquist Plots- Phase margin and Gain margin-Stability Analysis. Compensation techniques – Lag, Lead, Lag-Lead Compensator design in frequency Domain.

UNIT – V STATE SPACE ANALYSIS

Concepts of state, state variables and state model, derivation of state models from differential equations. Transfer function models. Block diagrams. Diagonalization. Solving the Time invariant state Equations- State Transition Matrix and it’s Properties. System response through State Space models. The concepts of controllability and observability.

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Study Material's for Control System Engineering(ECE-JNTUA R15)

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