# Modern Control Theory VTU Notes Pdf – MCT VTU Pdf

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.