JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

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:

• 1. W. J. Rugh,” Linear System Theory”, 2nd Ed., Prentice-Hall, 1996. rd
• 2. C.T. Chen, “Linear System Theory and Design”, 3 Edition, Oxford. rd
• 3. H.K. Khailil, “Nonlinear System”, 3 Edition. Prentice Hall, 2002.
• 4. M. Gopal, “Modern Control System Theory”, New Age International, 1984.

REFERENCE BOOKS:

• 1. R. D. Strum, D. E. Kirk, “Contemporary Linear Systems Using MATLAB”, Brooks/Cole 2000.
• 2. S. S. Sastry,” Nonlinear systems - Analysis and Control”, Springer-Verlag, 1999.
• 3. Ogata. K, “Modern Control Engineering”, Prince Hall, 1997.
• 4. Donald E. Kirk, “Optimal Control Theory- An Introduction”, PH Network Series, First Edition.
• 5. M. Vidyasagar, “Nonlinear Systems Analysis”, 2nd Ed, Prentice Hall, 1993.
• 6. J. J. Slotine, W. P. Li, “Applied Nonlinear Control”, Prentice Hall, 1991. rd
• 7. Isidori, “Nonlinear Control Systems”, 3 Edition, Springer, 1995.
• 8. M. Krstic, Kanellakopoulos, and Kokotovic, “Nonlinear and Adaptive Control Design”, Wiley, 1995. M. TECH. I YEAR I SEMESTER ELECTRONICS & INSTRUMENTATION