CBCGS [2018 - current]

CBGS [2014 - 2017]

Old [2000 - 2013]

## University of Mumbai Semester 6 (TE Third Year) Control System 1 Revised Syllabus

University of Mumbai Semester 6 (TE Third Year) Control System 1 and their Unit wise marks distribution

### Units and Topics

# | Unit/Topic | Marks |
---|---|---|

100 | Introduction to Control System | - |

200 | Modeling in the Frequency Domain | - |

300 | Modeling in the Time Domain | - |

400 | Transient, Steady State and Stability Analysis | - |

500 | Root Locus Techniques | - |

600 | Frequency Response techniques | - |

Total | - |

## Syllabus

100 Introduction to Control System

- History of control system, open loop and closed loop control system with examples, brief idea of multi variable control system.

200 Modeling in the Frequency Domain

- Transfer function of electrical (Network and OP Amp) and electro mechanical systems. Transfer function model of AC & DC servomotor, potentiometer & tachogenerator.
- Block diagram reduction technique and signal flow graph, Mason’s rule, Signal flow graph of electrical network.

300 Modeling in the Time Domain

- Introduction to state variable, General state space representation, State space representation of Electrical and Mechanical systems. Conversion between state space and transfer function. Alternative representations in state space: (Phase variable, parallel & cascade). Similarity transformations, diagonalizing a system matrix. Laplace Transform solution of state equation.

400 Transient, Steady State and Stability Analysis

- Time response analysis of first and second order systems, Under damped second order system with step input. System response with additional poles and zeros.
- Steady state error for unity feedback systems.
- Static error constants and system type. Concept of stability, absolute and relative stability using Routh Hurwitz criteria, stability in state space.

500 Root Locus Techniques

- Definition and properties of root locus, rules for plotting root locus, stability analysis using root locus, Transient response design via gain adjustment.

600 Frequency Response techniques

- Polar plots, Bode plot, stability in frequency domain, Nyquist plots. Nyquist stability criterion.
- Gain margin and phase margin via Nyquist diagram and Bode plots.
- Relationship between Closed loop transient, Closed and open loop frequency responses.
- Steady state error characteristics from frequency responses

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