# Linear Control Systems

SYLLABUS:

UNIT – I
CONTROL SYSTEMS CONCEPTS
Introduction to linear Control Systems , Classification of control systems – Open Loop and
closed loop control systems, merits and demerits , effects of feedback control systems.
Mathematical models – Definition and properties of transfer function, mechanical,electrical
systems and electro mechanical systems, electrical analogous systems. Block diagram
reduction methods, signal flow graph, Mason’s gain formula- DC servo motor, AC servo
motor, synchro pair and its applications.
UNIT- II
TIME RESPONSE ANALYSIS
Introduction- Standard test input signals – Time response of first and second order systems –
Time domain specifications, Characteristic Equation of Feedback control systems, Transient
and steady state response of second order systems- Error constants, Steady state error and
gernalized error constants– Introduction to controllers – proportional, integral and derivative
Controllers.

UNIT-III
STABILITY ANALYSIS IN CONTROL SYSTEMS
The concept of stability – Routh‘s and Hurwiz stability criterion – difficulties in the
formation of Routh table and problems.The Root Locus concept, Rules of Root Locus,
construction of root loci-effects of adding poles and zeros of G(s)H(s) on the root loci.
UNIT-IV
FREQUENCY RESPONSE ANALYSIS
Introduction, Frequency domain specifications, Determination of Frequency domain
specifications-Frequency response plots- Polar plots, Nyquist Plots, Bode Plots ,Gain margin
and Phase margin – Stability Analysis.
Compensation Networks –Introduction to Compensation networks, Types of compensatorsLead,
UNIT-V
STATE SPACE ANALYSIS OF CONTINUOUS SYSTEMS
Concepts of state, state variables and state model, derivation of state models from physical
systems, diagonalization, solution of state equations – state transition matrix and it’s
properties. Concept of controllability and observability and problems

Materials for Linear Control Systems:

Question Bank for Linear Control Systems: