Introduction, motivation, history, representation of systems, physics principles, equivalence between mechanical,electrical, pneumatic, etc, Open loop and closed loop systems, feedback systems, types; linear and nonlinear, Timeand frequency domain analysis, Fourier and Laplace transform, Transfer function, Block diagram representation,block diagram algebra, signal flow graphs, simplification methods, Poles, zeros, first and second order systems,response of systems to standard test inputs; impulse, step, sinusoidal etc, Transient and steady state response,stability criteria, BIBO stability, Time domain analysis: Transient & Steady-State Response, Performance,pecifications (Rise Time, Overshoot, Settling Time), Error Analysis & Constants, Stability using Routh-HurwitzCriterion, Lyapunov Stability, Frequency Domain Analysis: Frequency Response (Bode Plot, Polar Plot, NyquistPlot), Performance Specs (Gain Margin, Phase Margin), Stability using Nyquist Stability Criterion, Root LocusTechniques, Controller Design: PID Controllers (Proportional, Integral, Derivative), Root Locus Design (AddingPoles/Zeros), Frequency Domain Compensation (Lead, Lag, Lag-Lead), State-Space Methods: State-SpaceRepresentation (Modeling, Solution), Controllability & Observability, Pole Placement, Luenberger Observer, LQR,Digital Control: Z-Transforms, Discrete State-Space, Digital Controller Design. Design and simulation usingappropriate tools like MATLAB/Simulink, Python etc