Modern Control Theory Detailed Syllabus for Power & Energy Systems M.Tech first year second sem is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
The detailed syllabus for Modern Control Theory M.Tech 2017-2018 (R17) first year second sem is as follows.
M.Tech. I Year II Sem.
Prerequisite: Control Systems
Course Objectives:
- To explain the concepts of basic and modern control system for the real time analysis and design of control systems.
- To Explain and apply concepts of state variables analysis.
- To study and analyze non linear systems.
- To analyze the concept of stability of nonlinear systems and categorization.
- To apply the comprehensive knowledge of optimal theory for Control Systems.
Course Outcomes: Upon completion of this course, students should be able to:
- Apply the knowledge of basic and modern control system for the real time analysis and design of control systems.
- Understand the concepts of state variables analysis.
- Analyze the concept of stability of nonlinear systems and optimal control.
UNIT– I: Mathematical Preliminaries: Fields, Vectors and Vector Spaces – Linear combinations and Bases – Linear Transformations and Matrices – Scalar Product and Norms – Eigen-values, Eigen Vectors and a Canonical form representation of Linear operators – The concept of state – State Equations for Dynamic systems – Time invariance and Linearity – Non-uniqueness of state model – State diagrams for Continuous-Time State models.
UNIT- II: State Variable Analysis: Linear Continuous time models for Physical systems– Existence and Uniqueness of Solutions to Continuous-Time State Equations – Solutions of Linear Time Invariant Continuous-Time State Equations – State transition matrix and its properties. General concept of controllability – General concept of Observability – Controllability tests for Continuous-Time Invariant Systems – Observability tests for Continuous-Time Invariant Systems – Controllability and Observability of State Model in Jordan Canonical form – Controllability and Observability Canonical forms of State model.
UNIT- III: Non Linear Systems: Introduction – Non Linear Systems – Types of Non-Linearities – Saturation – Dead-Zone – Backlash – Jump Phenomenon etc;– Singular Points – Introduction to Linearization of nonlinear systems, Properties of Non-Linear systems – Describing function–describing function analysis of nonlinear systems – 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.
UNIT- IV: Stability Analysis: Stability in the sense of Lyapunov, Lyapunov’s stability and Lypanov’s instability theorems – Stability Analysis of the Linear continuous time invariant systems by Lyapunov second method – Generation of Lyapunov functions – Variable gradient method – Krasooviski’s method. State feedback controller design through Pole Assignment – State observers: Full order and Reduced order.
UNIT-V: Optimal Control: Introduction to optimal control – Formulation of optimal control problems – calculus of variations – fundamental concepts, functional, variation of functional – fundamental theorem of theorem of Calculus of variations – boundary conditions – constrained minimization – formulation using Hamiltonian method – Linear Quadratic regulator.
TEXT BOOKS:
- modern control system theory by M. Gopal – new age international -1984
- Control System Engineering, Nagrath and Gopal – New Age International – Fourth Edition
REFERENCES:
- Optimal control by Kirck , Dover Publications
- Advanced Control Theory A. Nagoor Kani, RBA Publications, 1999
- Modern Control Engineering by Ogata.K – Prentice Hall – 1997
For all other M.Tech 1st Year 2nd Sem syllabus go to JNTUH M.Tech Power & Energy Systems 1st Year 2nd Sem Course Structure for (R17) Batch.
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