# [Pdf] VSSUT MCT VTU Notes – Modern Control Theory VTU Notes PDF Free Download

MCT VTU Notes Pdf – Here you can get lecture notes of Modern Control Theory VTU Notes pdf with unit wise topics. Here we have listed different units wise downloadable links of Modern Control Theory VTU Notes where you can click to download respectively.

Here you can download the Modern Control Theory VTU Notes Pdf – MCT VTU Pdf of as per VTU Syllabus. Below we have list all the links as per the modules.

## Modern Control Theory VTU Notes Pdf – MCT VTU Pdf of Total Units

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#### UNIT – 1

STATE VARIABLE ANALYSIS AND DESIGN: Introduction, the concept of state, state variables and state model, state modeling of linear systems, linearization of state equations. State space representation using physical variables, phase variables & canonical variables.

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#### UNIT – 2

STATE-SPACE REPRESENTATION: Introduction, state modeling of linear systems, linearization of state equations, State space representation using physical variables, Phase variables & canonical variables.

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#### UNIT – 3

Derivation of the transfer function from the state model, digitalization, Eigen values, Eigen vectors, generalized Eigen vectors.

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#### UNIT – 4

The solution of state equation, state transition matrix, and its properties, computation using Laplace transformation, power series method, Cayley-Hamilton method, the concept of controllability & observability, methods of determining the same.

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#### UNIT – 5

POLE PLACEMENT TECHNIQUES: stability improvements by state feedback, necessary & sufficient conditions for arbitrary pole placement, state regulator design, and design of state observer, Controllers- P, PI, PID.

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#### UNIT – 6

Non-linear systems: Introduction, the behavior of the non-linear system, common physical non-linearity-saturation, friction, backlash, dead zone, relay, multivariable non-linearity.

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#### UNIT – 7

Phase plane method, singular points, stability of the nonlinear system, limit cycles, construction of phase trajectories.

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#### UNIT – 8

Lyapunov stability criteria, Liapunov functions, direct method of Liapunov & the linear system, Hurwitz criterion & Liapunov‟s direct method, construction of Liapunov functions for the nonlinear system by Krasvskii‟s method.