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Sathyabama Institute of Science and Technology B.E. - Electrical and Electronics Engineering Part Time SEEA1602 Advanced Control Systems Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF ELECTRICAL AND ELECTRONICS ENGINEERING SEEA1602 ADVANCED CONTROL SYSTEMS L T P Credits Total Marks 3 * 0 3 100 UNIT 1 STATE SPACE MODEL 9 Hrs. Introduction to State Space, State Variables, Physical Variables, Phase Variables-Matrices, Eigen Values and Eigen vectors - Diagonalization, Canonical and Jordan forms - State Space Models from Differential Equations - Conversion of State Variable Models to Transfer Function. UNIT 2 MATHEMATICAL ANALYSIS 9 Hrs Computation of State Transition Matrix - Laplace Transformation Method, Canonical Transformation - Cayley Hamilton Theorem-Solution of State Equation. UNIT 3 STATE FEEDBACK AND OBSERVERS 9 Hrs Concepts of Controllability and Observability - Design of State Space Feedback using Pole Placement Technique-State Observers. UNIT 4 SAMPLED DATA SYSTEMS 9 Hrs. Reconstruction of Sampled Signals using Hold Circuits - Zero Order Hold - its Representation - Bode Plot of Hold Circuit - Z - Transform of Sampled Signals - Theorems on Z- Transform - Inverse Z-transform - Mapping between s and z Planes - Pulse Transfer Function Impulse Response - Closed Loop Operation - Characteristic Equations - Jury’s Stability Criterion. UNIT 5 NONLINEAR SYSTEMS 9 Hrs. General Properties of Non-Linear Systems - Describing Function Method - On / Off, Dead Zone, Saturation and Hysteresis Non Linearities - Determination of Limit Cycle by Describing Function - Stability of Limit Cycle - System Stability in the Sense of Lyapunov - Lyapunov’s Direct Method - Stability and Instability Theorems - Application of Lyapunov Method for Linear Systems - Basic Concepts of Phase Plane Method. Max. 45 Hrs. COURSE OUTCOMES On completion of the course, student will be able to CO1 - Give the state model of any linear time invariant system. CO2 - Obtain the state transition matrices and their solutions. CO3 - Understand the concept of controllability and observability. CO4 - Design a state observer using pole placement technique. CO5 - Analyze any discrete systems. CO6 - Determine the stability of any Nonlinear systems. TEXT / REFERENCE BOOKS 1. K.Ogata, “Modern control Engineering”, 5th Edition. Prentice Hall India, New Delhi. 2010. 2. B.C.Kuo, “Automatic Control Systems”, Phi learning Pvt Ltd, 9th Edition, 2009. 3. Philips C.L., & John Parr “Feedback Control Systems” 5th Edition, Prentice Hall International. 2010. 4. Naresh K. Sinha, “Control Systems’’, New Age International Ltd., Reprint 2004. 5. Stanley M.Shinners, “Modern Control System Theory and Design”, 3rd Edition, John Wiley & Sons. 2004 6. M.Gopal, “Digital Control and State Variable Methods”, 4th Edition, Tata McGraw Hill Ltd., New Delhi, 2012. 7. Roy Choudhry, “Modern Control Engineering” Phi Learning, 2009 END SEMESTER EXAMINATION QUESTION PAPER PATTERN Max. Marks: 100 Exam Duration: 3 Hrs. PART A: 10 Questions of 2 marks each-No choice 20 Marks PART B: 2 Questions from each unit with internal choice; each carrying 16 marks 80 Marks |
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