University of Mumbai Syllabus For Semester 8 (BE Fourth Year) Non-linear Control System: Knowing the Syllabus is very important for the students of Semester 8 (BE Fourth Year). Shaalaa has also provided a list of topics that every student needs to understand.

The University of Mumbai Semester 8 (BE Fourth Year) Non-linear Control System syllabus for the academic year 2022-2023 is based on the Board's guidelines. Students should read the Semester 8 (BE Fourth Year) Non-linear Control System Syllabus to learn about the subject's subjects and subtopics.

Students will discover the unit names, chapters under each unit, and subtopics under each chapter in the University of Mumbai Semester 8 (BE Fourth Year) Non-linear Control System Syllabus pdf 2022-2023. They will also receive a complete practical syllabus for Semester 8 (BE Fourth Year) Non-linear Control System in addition to this.

## University of Mumbai Semester 8 (BE Fourth Year) Non-linear Control System Revised Syllabus

University of Mumbai Semester 8 (BE Fourth Year) Non-linear Control System and their Unit wise marks distribution

### University of Mumbai Semester 8 (BE Fourth Year) Non-linear Control System Course Structure 2022-2023 With Marking Scheme

# | Unit/Topic | Weightage |
---|---|---|

100 | Characteristics of Nonlinear Systems | |

200 | Phase Plane Analysis | |

300 | Describing Function Analysis of Nonlinear Systems | |

400 | Stability of Systems | |

500 | Passivity | |

600 | Frequency Domain Analysis of Feedback System | |

Total | - |

## Syllabus

- Characteristics of nonlinear systems, multiple equilibria, limit cycle, jump phenemona, method of analysis, clasisification of nonlinearities, Common Physical Nonlinearities.

- Phase Plane Method, phase portraits, Analytical Methods for the Construction of Phase Trajectories, Graphical Method of Construction of Phase Trajectory, Qualitative behavior of Linear systems, phase plane analysis of nonlinear systems, Multiple equilibria, existence of limit cycles, Linearization techniques.

- Introduction, Basic Definition of Describing Function, Basis of Describing Function Analysis, Describing Function for Typical Nonlinearities (saturation, dead zone, relay, backlash, hysteresis) , Closed Loop Stability Using Describing Function, Stability of the Limit Cycles, Relative Stability from Describing Function.

- Concept of stability, Stability analysis of autonomous and nonautonomous systems. LaSalle Invariance Principle, stability in the sense of Lyapunov and absolute stability. Zero - input and BIBO stability.
- Second (or direct) method of Lyapunov stability theory for continuous and discrete time systems.

- Power and energy of passive systems, Definitins, passivity and small gain, Passivity of linear time invariant systems, strictly positive real functions .

- Circle, popov criteria, Popov's stability criterion, generalized circle criterion.