7/25/2019 MODERN CONTROL THEORY SYLLABUS

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MODERN CONTROL THEORY

(CBCC-II)

UNIT I STATE VARIABLE DESCRIPTION AND SOLUTION OF STATE EQUATION

Concept of State Derivation of State Space models for Linear Continuous time Systems from Schematic

Models, Differential equations, Transfer functions and bloc dia!rams "on uniqueness of state model

State dia!rams for continuous time state models Solution of state equations State transition matri#$

Complete response of continuous time systems$

UNIT II : CONTROLLABILITY, OBSERVABILITY,

Tests for controllability and observability for continuous time systems Time varyin! case, minimum

ener!y control, time invariant case, %rinciple of Duality, Controllability and observability of state models in

&ordan canonical form and other canonical forms$ 'ffect of state feedbac on controllability and

observability$

UNIT III: STATE FEEDBACK CONTROLLERS AND OBSERVERS

Desi!n of State eedbac Controllers throu!h %ole placement$ ullorder observer and reducedorderobserver$ State estimation throu!h *alman ilters$

UNIT IV ANALYSIS OF NONLINEAR SYSTEMS

+ntroduction to nonlinear systems, Types of nonlinearities, Concept of describin! functions, Derivation of

describin! functions for Dead one, Saturation, baclash, relay -ith dead one and .ysteresis &ump

/esonance$ +ntroduction to phaseplane analysis, Method of +soclines for Constructin! Tra0ectories, Sin!ular

points, %haseplane analysis of nonlinear control systems$

UNIT- V STABILITY ANALYSIS

Stability in the sense of Lyapunov$ Lyapunov1s stability and Lypanov1s instability theorems$ Direct method

of Lypanov for Linear and "onlinear continuous time autonomous systems$

TEXT BOOKS:

2$ Modern Control 'n!ineerin!, *atsuhio 3!ata, %rentice .all, 4th'dition, 5626$

5$ Modern Control System Theory, M$ 7opal, "e- 8!e +nternational %ublishers, /evised 5

nd

edition, 5664$REFERENCE BOOKS:

2$ Control Systems 'n!ineerin!, +$&$ "a!arath and M$7opal, "e- 8!e +nternational (%) Ltd$, 9th'dition,

566:$

5$ Modern Control 'n!ineerin!, D$ /oy Choudhury, %.+ Learnin! %rivate Limited, 5624$