Modern Control Theory Detailed Syllabus for Power Electronics\/ Power and Industrial Drives\/ Power Electronics and Electric Drives M.Tech first year first sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.<\/p>\n
The detailed syllabus for Modern Control Theory M.Tech 2017-2018 (R17) first year first sem is as follows.<\/p>\n
M.Tech. I Year I Sem.
\nPrerequisites: Linear control systems<\/p>\n
Course Objectives:<\/strong><\/p>\n Course Outcomes:<\/strong> Upon the completion of the course the student will be able to<\/p>\n UNIT\u2013I: Mathematical Preliminaries:<\/strong> Fields, Vectors and Vector Spaces \u2013 Linear combinations and Bases \u2013 Linear Transformations and Matrices \u2013 Scalar Product and Norms \u2013 Eigen-values, Eigen Vectors and a Canonical form representation of Linear operators \u2013 The concept of state \u2013 State Equations for Dynamic systems \u2013 Time invariance and Linearity \u2013 Non-uniqueness of state model \u2013 State diagrams for Continuous-Time State models.<\/p>\n UNIT-II: State Variable Analysis:<\/strong> Linear Continuous time models for Physical systems\u2013 Existence and Uniqueness of Solutions to Continuous-Time State Equations \u2013 Solutions of Linear Time Invariant Continuous-Time State Equations \u2013 State transition matrix and its properties. General concept of controllability \u2013 General concept of Observability \u2013 Controllability tests for Continuous-Time Invariant Systems \u2013 Observability tests for Continuous-Time Invariant Systems \u2013 Controllability and Observability of State Model in Jordan Canonical form \u2013 Controllability and Observability Canonical forms of State model.<\/p>\n UNIT-III: Non Linear Systems:<\/strong> Introduction \u2013 Non Linear Systems – Types of Non-Linearities \u2013 Saturation \u2013 Dead-Zone – Backlash \u2013 Jump Phenomenon etc;\u2013 Singular Points \u2013 Introduction to Linearization of nonlinear systems, Properties of Non-Linear systems \u2013 Describing function\u2013describing function analysis of nonlinear systems \u2013 Stability analysis of Non-Linear systems through describing functions. Introduction to phase-plane analysis, Method of Isoclines for Constructing Trajectories, singular points, phase-plane analysis of nonlinear control systems.<\/p>\n UNIT-IV: Stability Analysis:<\/strong> Stability in the sense of Lyapunov, Lyapunov\u2019s stability, and Lypanov\u2019s instability theorems – Stability Analysis of the Linear continuous time invariant systems by Lyapunov second method\u00a0 Generation of Lyapunov functions \u2013 Variable gradient method \u2013 Krasooviski\u2019s method. State feedback controller design through Pole Assignment \u2013 State observers: Full order and Reduced order.<\/p>\n UNIT-V: Optimal Control:<\/strong> Introduction to optimal control – Formulation of optimal control problems \u2013 calculus of variations \u2013 fundamental concepts, functional, variation of functional \u2013 fundamental theorem of theorem of Calculus of variations \u2013 boundary conditions \u2013 constrained minimization \u2013 formulation using Hamiltonian method \u2013 Linear Quadratic regulator.<\/p>\n TEXT BOOKS:<\/strong><\/p>\n REFERENCES:<\/strong><\/p>\n\n
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