1. Basic Control Theory  Time Response Analysis  Frequency Domain Analysis  Stability of Linear Systems  Compensating Networks  Design of Lead/Lag Compensator  PID Controller Design and Tuning
2. Discrete Data Control Systems  Types of Discrete Time Systems  Examples of Discrete Data Systems  Sampling Process and Analysis  Data Reconstruction and Hold Circuits  Mathematical Analysis of Discrete Data Systems  zTransforms  Pulse Transfer Function  Time Response Analysis of Discrete Time Systems  Mapping Properties of ZTransform  Stability of Discrete Time Systems
3. State Space Analysis of Systems  State Model for Linear Systems and Nonlinear Systems  State Space Model for Physical Systems  State Space Model from Transfer Functions  Canonical Models  Time Domain Analysis in State Space  Time Invariant State Equation  State Transition Matrix from Cayleigh–Hamilton Theorem  Solution of State Equation in Canonical Forms.
4. Characteristics of Nonlinear Systems  Multiple Equilibrium States and Zones  Jump Phenomenon  Linearisation Techniques  Lyapunov’s Method for Stability  Classification of Nonlinearities  Phase Plane Analysis Delta MethodPell’s Method Evaluation of Time on Phase Trajectory Limit Cycles on Phase Plane
5. Describing Function  Definition  Analysis  Describing Function for Ideal Relay Relay with Dead Zone  Simple Dead Zone  Friction Controlled Backlash  Stability of the Limit Cycles  Closed Loop Frequency Response  Lyapunov’s method for nonlinear systems  Application of Lyapunov Function to Estimate Transients  Optimal Control Performance Measures  Quadratic Performance Measures
