WITH EFFECT FROM THE ACADEMIC YEAR 2013- 2014

EE 462

ADVANCED CONTROL SYSTEMS

(Elective-II & Common to EEE & EIE)

Instruction                                                                                                                                                                                        4  Periods per week

Duration of University Examination                                                                                                                                                   3  Hours

University Examination                                                                                                                                                                     75 Marks

Sessional                                                                                                                                                                                         25 Marks

UNIT-I

Review of state-space representation of continuous time systems and their solution, state models for discrete time systems described as difference Equations and transfer functions, Transfer function from State model, State-Transition matrix and solution of state equations for discrete time systems.

UNIT-II

Controllability and Observability: Concepts of Controllability and Observability, Controllability tests for continuous time, discrete-time, time-invariant systems. Observability tests for continuous time, discrete-time, time-invariant systems. And Controllability and Observability modes in State. Jordan’s canonical form, Controllable and Observable companion forms for single input single output Systems, pole placement by State feedback.

UNIT-III

Nonlinear Systems: Behavior of Nonlinear systems, jump resonance, Sub-harmonic oscillation, Limit cycles, common physical non-linearities, Singular

points, phase plane-method, Construction of phase plane trajectories, Isoclines method, Delta method, Computation of time.

UNIT-IV

Stability: Lyapunov‘s stability criteria, Theorems, Direct method of Lyapunov For linear systems, Non-Linear Systems, Methods of constructing Lyapunov function, Krasovki‘s Method, Variable gradient method.

UNIT-V

Optimal Control: Formulation of optimal control problem, calculus of variations, Minimization of functionals. Formulation of variational calculus using Hamiltonian method.

Suggested Reading:

1.          Gopal.M., Modern Control System Theory, Wiley Eastern Limited, 2004

2.          Schulz D.G., Melsa J.L., State Functions of Linear Control Systems, McGrawHill.