1. Mathematical modeling of control systems
Concept of state, state-space representation of systems, transformation from state-space
representation to transfer function, eigenvalues and eigenvectors.
2. State transformation and solution of state space equations
State transition matrix, state transition equation, the canonical forms of state space
representation, solution for states equations represented in canonical forms.
3. Stability, Controllability, Observability of control systems
Asymptotic stability, BIBO stability, State controllability, output controllability, state
observability.
4. Control systems design in state space
Pole-placement design with state feedback, Pole placement and controller design with state
observer, Controller design using MATLAB.
5. Introduction to non-linear and optimal control systems