Linear and Nonlinear Systems Detailed Syllabus for Embedded Systems 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.
The detailed syllabus for Linear and Nonlinear Systems M.Tech 2017-2018 (R17) first year first sem is as follows.
M.Tech. I Year I Sem.
UNIT – I : Linear Systems: Mathematical Descriptions of Systems: Linear Algebra Review, Representations and Properties, Differential and difference equations, State-variable equations, Input-output representations (impulse response, transition matrix, transfer function), Time-variant & time-invariant, Linear feedback, Signal graph concepts, Stability.
UNIT – II : Feedback Controllers and Observers: Linear Dynamical Equations, Stability, Controllability and Observability, Minimal Realizations, State Feedback Controller Design, Pole Assignment using Ackkermans formula, State observers- Full order and reduced order observers.
UNIT – III : Non-Linear Systems: Nonlinear systems, Types of nonlinearities- Saturation, Dead zone, Backlash and Jump phenomina, Linearization of nonlinear systems, Singular points and its types- Describing function of different types of nonlinear elements. Nonlinear Models and Nonlinear phenomena: Second-Order Systems , Qualitative behavior of linear systems, multiple equlibria, qualitative behavior near, equilibrium points, limit cycles, Numerical construction of Phase portraits, Existence of periodic orbits.
UNIT – IV : Lyapunov Stability and Input–Output Stability: Lyapunov Stability: Autonomous Systems, The Invariance Principle, Linear Systems and Linearization, Comparison Functions, Non-autonomous Systems, Linear Time-Varying Systems and Linearization, Converse Theorems, Boundedness and Ultimate Boundedness, Input-to-State Stability. Input–Output Stability: L Stability, L Stability of State Models, L 2 Gain, Feedback Systems: The Small-Gain Theorem.
UNIT – V : Frequency Domain Analysis of Feedback Systems: Absolute Stability, Circle Criterion, Popov Criterion, the Describing Function Method, Stability of Perturbed Systems.
TEXT BOOKS:
- W. J. Rugh,” Linear System Theory”, 2nd Ed., Prentice-Hall, 1996.
- C.T. Chen, “Linear System Theory and Design”, 3rd Edition, Oxford.
- H.K. Khailil, “Nonlinear System”, 3rd Edition. Prentice Hall, 2002.
- M. Gopal, “Modern Control System Theory”, New Age International, 1984.
REFERENCE BOOKS:
- R. D. Strum, D. E. Kirk, “Contemporary Linear Systems Using MATLAB”, Brooks/Cole 2000.
- S. S. Sastry,” Nonlinear systems – Analysis and Control”, Springer-Verlag, 1999.
- Ogata. K, “Modern Control Engineering”, Prince Hall, 1997.
- Donald E. Kirk, “Optimal Control Theory- An Introduction”, PH Network Series, First Edition.
- M. Vidyasagar, “Nonlinear Systems Analysis”, 2nd Ed, Prentice Hall, 1993.
- J. J. Slotine, W. P. Li, “Applied Nonlinear Control”, Prentice Hall, 1991.
- Isidori, “Nonlinear Control Systems”, 3rd Edition, Springer, 1995.
- M. Krstic, Kanellakopoulos, and Kokotovic, “Nonlinear and Adaptive Control Design”, Wiley, 1995.
For all other M.Tech 1st Year 1st Sem syllabus go to JNTUH M.Tech Embedded Systems 1st Year 1st Sem Course Structure for (R17) Batch.
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