Advanced Control System

State Space Analysis:

Review of State space representation of continuous linear time invariant system, conversion of state variable models to transfer functions and vice-versa, transformation of state variables, solution of state equations, state and output controllability and observability.

Analysis of Nonlinear System:

Common physical nonlinearities singular points, phase plane analysis limit cycles, describing function method and stability analysis, jump resonance, Linearization of nonlinear systems. Lyapunov stability, methods for generating lyapunov function statement of Lure problem, circle critcrion, popov criterion.

Analysis of Discrete System:

Discrete time signals and system, z-transformation, modeling of sample-hold circuit, pulse transfer function, solution of difference equation by z-transform method, stability analysis in z-phane.

Basic concepts of optimal control, adaptive control and robust control systems.

Reference:

1. K. Ogata, “Modern Control Engineering”, Prentics Hall of India, 1999.

2. Norman S. Nise, “Control System Engineering”, John Wiley & Sons. 2001.

3. Kuo B.C., “Digital Control System,” saunders College Publishing, 1992.

4. M.Gopal “Digital Control and State Variable Methode” Tata Mergraw hill 1997.

5. M.Gopal “Modern Control System Theory”, Wiley Eastern 1993.

6. K. Ogata “Discrete Time Control system”, Prentice Hall International 1987