Modern Control Systems

Introduction, concept of state, state variable and state model, state space representation of systems, block diagram for state equation, Transfer function decomposition, direct, parallel and cascade decomposition, solution of state equations, concept of controllability and observe ability, controller design using pole placement by state feedback, controller design using state observer.

Introduction, digital control systems, quantization concept, data acquisition, conversion and distribution system, z-transform, Important properties, inverse z transform, difference equation and solution using z-transform, Impulse sampling and data hold, reconstruction of original signals from the sampled version.

Pulse transfer function for open loop and closed loop systems, mapping between z-plane and s-plane, stability analysis using Jury’s test, bilinear transformation and Schur-Cohn criteria, state space representation of discrete time systems and solution of discrete time state equations.

: Introduction, different non-linearities, phase plane method, singular points, stability of nonlinear systems, construction of phase trajectories, phase plane method, concepts of describing function method, stability analysis using describing function method, jump resonance phenomena, Liapunov and Popov stability criterion.

Introduction to Uncertain systems, robust and H-infinity control, Model Reference Adaptive Control.