EE-406-E Advanced Control Systems

Theory : 100 marks
Class work : 50 marks

UNIT 1. State Variable Techniques: State variable representation of systems by various methods. Solution of state equations-state transition matrix. Transfer function from state variable model. Controllability & observability of state variable model.

UNIT 2. Second Order Systems & State Plane: Phase portrait of linear second systems. Method of isoclines, phase portrait of second order system with non-linearities, limit cycle, singular points.

UNIT 3. Describing Function Analysis: Definition, limitations, use of describing function for stability analysis , describing function of ideal relay, relay with hysteresis & dead zone, saturation/coulomb friction & backlash,

UNIT 4. Linear Approximation of Nonlinear Systems: Taylor series, Liapunov’s 2^nd method.

UNIT 5. Sampled Data Systems: Sampling process, impulse modulation, mathematical analysis of sampling process, application of Laplace transform, Shannon’s theorem, reconstruction of sampled signal zero order & first order hold, Z-transform, definition, evaluation of Z-transform, Inverse Z-transform, pulse transfer function, limitations of Z-transform, state variable formulation of discrete time systems. Solution of discrete time state equations, stability, definition, the Schur-Cohn stability criterion, Jury’s test of stability of extension of Routh-Hurwitz criterion to discrete time systems.

Text Books:

1. Digital Control & State Variable Methods : M.Gopal ; TMH.

REFERENCE BOOKS :

1. Modern Control Theory : M.Gopal ; Wiley International.

2. Discrete Slotine & W.P.Li; Prentice Hall, USA,

5. Nonlinear Control Systems: Isidari ; Springer-Verlag.

NOTE : 8 questions are to be set –one from each unit. Students have to attempt five questions.time control system : K.Ogate ; PHI

3. Digital Control Systems : B.C.Kuo

4. Applied non-linear control : J.E.

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EE-454-E RADAR AND SONAR ENGINEERING

CLASS WORK : 50
EXAM : 100

UNIT 1. INTRODUCTION TO RADAR:

Radar Block Diagram & operation, Radar Frequencies, Radar development, Application of Radar.

UNIT 2. RADAR EQUATION:

Simple form of Radar Equation, Prediction of Range performance, Minimum detectable signal, Receiver noise, Signal to Noise ratio, Transmitter Power, Pulse repetition frequency & range ambiguities, System losses, Propagation effects.

UNIT 3. CW & FREQUENCY MODULATED RADAR:

The Doppler effect, CW Radar, Frequency-modulated CW Radar, Multiple Frequency CW Radar.

UNIT 4. MTI & PULSE DOPPLER RADAR:

Introduction, Delay Line Cancellors, Multiple or staggered, Pulse repetition frequencies, range-Gated Doppler Filters, Digital Signal Processing, Other MTI delay line, Limitation of MTI performance, Noncoherent MTI, Pulse Doppler Radar, MTI from a moving platform.

UNIT 5. TRACKING RADAR:

Tracking with Radar, Sequential Lobbing, Conical Scan, Monopulse Tracking Radar, Tracking in range, Acquisition.

UNIT 6. RECEIVERS, DISPLAYS & DUPLEXERS:

Radar Receivers, Noise Figure, Mixer, Low-noise Front ends, Displays, Duplexer, Receiver protectors.

UNIT 7. INTRODUCTION TO SONAR

TEXT BOOK:

1. Introduction to Radar Systems: Merrill I. Skolnik, ; MGH

REFERENCE BOOK:

1. Electronic Communication Systems : Kennedy; TMH

Note: 8 questions are to be set –at least one from each unit. Students have to attempt any five Questions.

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