## linear control systems

16EE216

UNIT-1:

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.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, Lag and Lead-Lag Compensators.
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.