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**

Please find the download links of Modern Control Theory VTU Notes Pdf – MCT VTU Pdf are listed below:

**Link: Complete Notes**

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**PART – A**

**Link: Part A Notes**

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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.

**Link: Unit 1 Notes**

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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.

**Link: Unit 2 Notes**

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**UN****IT – 3**

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

**Link: Unit 3 Notes**

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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.

**Link:Unit 4 Notes**

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**PART – B**

**Link: Part B Notes**

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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.

**Link: Unit 5 Notes**

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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.

**Link: Unit 6 Notes**

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**UNIT – 7**

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

**Link: Unit 7 Notes**

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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.