Engineering
Support for Future Engineers of India
University
JNTU Hyderabad
Department
Electrical and Electronics Engineering
Semester
1 Year I Semester
- Fields, Vectors and Vector Spaces
- 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
- Mathematical Preliminaries
- Short Answer Questions
- Long Answer Questions
- 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
- Complete solution of state space model due to zero input and due to zero state
- 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.
- Short Answer Questions
- Long Answer Questions
- Introduction – Non Linear Systems – Types of Nonlinearities
- Saturation – Dead-Zone – Backlash – Jump Phenomenon
- Singular Points and its types
- 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.
- phase-plane analysis
- Method of Isoclines for Constructing Trajectories, singular points, Stability analysis of nonlinear systems based on phase-plane method
- Short Answer Questions
- Long Answer Questions
- Stability in the sense of Liapunov, Liapunov’s stability, and Lipanov’s instability theorems
- Linear continuous time invariant systems by Liapunov second method, Generation of Liapunov functions
- Variable gradient method, Krasooviski’s method.
- State feedback controller design through Pole Assignment using Ackkermans formula
- State observers: Full order and Reduced order
- Short Answer Questions
- Long Answer Questions
- Introduction to optimal control - Formulation of optimal control problems
- calculus of variations - fundamental concepts, functional, variation of functional
- fundamental theorem of Calculus of variations
- Boundary conditions, constrained minimization
- formulation using Hamiltonian method – Linear Quadratic regulator
- Short Answer Questions
- Long Answer Questions
Experience:
17 years
Profile:
Dr. G. Mallesham, teaching faculty in the Department of Electrical Engineering, University College of Engineering, Osmania University, Hyderabad, Telangana, India with 17 years of experience in teaching, R&D and industrial exposure.
He did his Bachelor of Engineering (B.E) from University College of Engineering, Osmania University, Master of Technology (M.Tech) from Indian Institute of Technology, Delhi, Doctor of Philosophy (Ph.D )from Indian Institute of Technology, Delhi and Post-Doctoral Fellowship from Yale School of Engineering & Applied Science, Yale University, USA, under UGC Raman Fellowship. He received many awards, and has 25 research publications (8 Journals with famous IEEE, IET Transactions) in International and National, 3 Online Books, Organized /Attended many workshops, conferences, reviewer of repute journals and resource person to national and international technical events .
Dr. Mallesham’s research interests include Control & Automation, Renewable Energy, Power Systems Control, Optimization, Soft Computing Applications to Design/ Control of Microgrid/ Smart Based Power Systems and Power Quality Problems.
He authored 3 books i.e. (1) Linear Control Systems (2) Modern Control Theory (3) MATLAB for Beginners and Professionals.
Dr. Rajani Akula, Associate professor of Electronics and Communications Department, JNTUHCEH, Hyderabad, Telangana has done her B.E in Electronics and Communications and M.E in Communication systems from NIT Thiruchirapalli (formerly known as R.E.C.) and finished Ph.D from Indian Institute of Technology Delhi (IIT Delhi).. She has worked in Hellosoft Solutions Pvt. Ltd for three months and as faculty in Bhoj Reddy engineering college (formerly known as Indira Seva Sadan), before joining in JNTUHCEH. She has published more than 20 papers in national and international conferences and journals.
Her areas of interest include signal processing, wireless communications, DoA estimation, Smart Antennas, Acoustic Vector sensor, Infrasound modeling, Snow avalanches detection and localization. She is life member of ASI and ISTE. She has conducted workshops and refresher courses in the field of signal processing and wireless communications. She has visited Montreal- Canada and Leuven- Belgium for paper presentations.
She authored 2 books i.e. (1) Linear Control Systems (2) Basic Electrical and Electronics Engineering.
Modern Control Theory Detailed Syllabus for Power Electronics/ Power and Industrial Drives/ Power Electronics and Electric Drives M.Tech 2017-2018 (R17) first-year, first semester is covered here. This gives the details about credits, number of hours and other details along with reference books for the course.
Prerequisites: Linear 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 the completion of the course the student will be able to
- Understand the concepts of state variable analysis
- Apply the knowledge of basic and modern control system for the real time analysis an design of control systems.
- 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
Course Features
| Lectures | 42 |
| Quizzes | 1 |
| Duration | |
| Skill Level | All Levels |
| Language | English |
| Certificate | No |
| Assesments | Yes |