State Space Analysis of Continuous System: State space analysis, Solution of state equation, determination of state-transition matrix, using Laplace method, Similarity transformation method and Caley-Hamilton Method.
Analysis of Discrete System: Concept of state feedback design, Determination of controllability Matrix and test of controllability, State feedback controller design via pole placement method, Concept of state observer design, Determination of the observability matrix and test of observability condition, Design of the full state observer using pole placement.
Nonlinear systems: Nonlinear System Modeling Analysis of Nonlinear system (Inverted Pendulum)via Linearization, Describing
function analysis of nonlinear system, Stability Analysis of Nonlinear system using Describing function Analysis.
Phase Plan Analysis: Construction of Phase portrait using Isoclines approach, Singular points, Phase plane analysis of 2nd order linear system, Phase plane analysis of nonlinear control system.
Liapunov Stability Analysis: Concept of stability in the sense of Liapunov. Linear system analysis using Liapunov approach, Determination of Liapunov functions using variable gradient method, Stability analysis of nonlinear systems.