|
 |
Module I
State space representation of dynamic systems : physical notion of system state, block
diagram representations. Lagrang's equations - examples. Transformation of state
variables, solution of differential equations in state space form, interpretation and properties of the state transition matrix, solution by the
Laplace transform, the resolvent, transfer function from state model, state space representations of transfer functions.
Module II
State space modelling of systems : Inverted pendulum on a cart, Temperature control -
two capacitance system, spring coupled masses, distillation column, instrument servo, missile guidance dynamics. Controllability and Observability : Physical interpretation, Kalman's and Gilbert's tests, Effect of pole - zero cancellation, detectability and
stabilisability.
Module III
Shaping the dynamic response - Design of regulators for single input single output
systems, Bass- gura pole placement formula, Multiple input systems, disturbances and
tracking systems: exogenous variables. Linear observers : Need of observers, structure and properties of observers, pole placement for single output systems.
Introduction to MATLAB - MATLAB functions - m - files- analysis and design of control systems
using MATLAB, Simulink - construction and analysis of simple models - modelling of
systems given in module II
Text Books: -
Ref (1)
References: -
1. B.Friedland - Control System Design - An Introduction to state space methods - Mc Graw Hill, Inc. N Y
2. T. Kailath - Linear systems - Prentice Hall Inc., Englewood cliffs. N J
3. C. Chen - Analog and Digital Control System Design - Transfer function, State Space and algebraic methods, Saunders College Publishing, N.Y
Question Paper: -
The Question paper will consist of two parts. Part 1 is to cover entire syllabus, and
carries 40 marks. This will contain 10 compulsory questions of 4 marks each. Part II is to cover 3 modules, and carries 60 marks. There will be 3 questions from each module (10 marks each) out of which 2 are to be answered. |
|
|
