Digital Control Systems:
Review of Difference equations, Z — transforms and Inverse Z transforms, The Z- transfer function (Pulse transfer function), The Z -Transform Analysis of Sampled data Control Systems, The Z and S - domain relationship, Stability analysis (Jury‘s Stability Test and Bilinear Transformation)(Text 1, Text 2).
State Models & Solution of State equations:
State models for Linear Continuous Time and Linear Discrete Time systems, Diagonalization, Solution of State Equations (for both Continuous and Discrete Time systems), Relevant problems(Text1).
State Feedback Systems:
Concepts of Controllability and Observability (for both Continuous and Discrete Time systems), Pole Placement by State Feedback (for both continuous and discrete Time systems), Observer System (Full order and Reduced order observers for both Continuous and Discrete Time systems), Relevant problems(Text 1, Text 2).
Regulators:
Dead beat Control by State Feedback, Optimal control problems using State Variable approach, State regulator and Output regulator, Concepts of Model Reference Adaptive Control (MRAC)(Text 1, Text 2).
Nonlinear Control Systems:
Behavior of Nonlinear Systems, Common Physical Nonlinearities, Describing Function Method, Stability Analysis by Describing Function Method, Phase Plane Method, Stability Analysis by Phase Plane Method (Text 1).