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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 D.C Servo motor – A.C 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 models. Differential equations, Transfer function, 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