Introduction :Scope of control, Parts of a control system, Multidisciplinary nature, Scope of present course

Mathematical modeling of physical systems :Differential equation, Difference equation, and State variable representations; Examples of modeling different types (e.g. electrical, mechanical, chemical, biological, social etc.) of systems, Equivalence between the elements of different types of systems

Linear systems and their s-domain representations: Linearity and linearization, Convolution integral, Laplace domain representation of signals and systems, Transfer function and its interpretation in terms of impulse and frequency responses, Block-diagram and signal flow graph manipulations.

Characterization of systems: Stability -- concept and definition, poles, Routh array, internal stability of coupled systems, Time domain response -- damping coefficient, natural frequency, overshoot, settling time, rise time; Frequency domain response -- peak and peaking frequency, bandwidth and cut-off rate; Link between time and frequency domain response features.

Advantages of closed loop operation : Sensitivity and complementary sensitivity,Disturbance and noise reduction, Structured and unstructured plant uncertainties.

Analysis of closed loop systems : Stability and relative stability using root-locus approach, Nyquist stability criterion, Steady state errors and system types

Compensation techniques : Performance goals -- Steady-state, transient and robustness specifications, PID, lag-lead and algebraic approaches for controller design.

Sampled-data systems : Necessity of sample and hold operations for computer control, Sampling theorem z-transform, Stability and response of sampled-data systems, Controller design, Special features of digital control systems.

Introduction to Fuzzy control: Fuzzy sets and linguistic variables, The fuzzy control scheme, Fuzzification and defuzzufication methods, Examples, Comparison between conventional and fuzzy control.