BE Electrical Engineering Semester 8 (BE Fourth Year)University of Mumbai

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Non-linear Control System Semester 8 (BE Fourth Year) BE Electrical Engineering University of Mumbai Topics and Syllabus

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CBCGS [2019 - current]
CBGS [2015 - 2018]
Old [2000 - 2014]

Topics with syllabus and resources

100.00 Characteristics of Nonlinear Systems
  • Characteristics of nonlinear systems, multiple equilibria, limit cycle, jump phenemona, method of analysis, clasisification of nonlinearities, Common Physical Nonlinearities.
200.00 Phase Plane Analysis
  • 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.
300.00 Describing Function Analysis of Nonlinear Systems
  • 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.
400.00 Stability of Systems
  • 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.
500.00 Passivity
  • Power and energy of passive systems, Definitins, passivity and small gain, Passivity of linear time invariant systems, strictly positive real functions .
600.00 Frequency Domain Analysis of Feedback System
  • Circle, popov criteria, Popov's stability criterion, generalized circle criterion.

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