OBJECTIVE: To learn the concepts of state variable techniques handling non-linear systems and basics of optimal and adaptive control.
Controllability and observability- state variable feedback and its effect on controllability and observability- pole assignment and feedback- elements of observer theory.
Common types of non-linear phenomena- linearization- singular points- phase plane method- construction of phase trajectories- applications to ON-OFF control systems.
Basic concepts- derivation of describing functions - stability of non- linear systems by describing function method- jump resonance- Liapunov's method of stability studies- Popov's criterion.
Formulation of optimal control problems- solving of optimal control problems - Hamiltonian formulation- linear regulator problem- solution of Richatti equation- Pontryagin's minimum principle- time optimal control.
Classification of adaptive control systems- MRAC systems- different configuration- classification- Mathematical description- Direct and indirect MRAC- self tuning regulators- different approaches to self-tuning- recursive parameter estimation- implicit STR- Explicit STR.
