Module-1: (05 Hours):
System model classification, fundamental concepts of Lagrangian dynamics, Hamiltonian and modern dynamics, stability theory and control of dynamical systems
Module -2: (05 Hours):
Modelling of mechanical systems, Time and frequency domain representations, State space realizations, Coordinate transformations, diagonal canonical form, linear and nonlinear system responses, Linearization of nonlinear systems, Time response of LTI systems
Module-3 (05 hours): Introduction to control system design, closed loop and open loop system, design principles of control systems, Laplace transforms method, transfer functions
Module-4 (05 hours): Block diagrams, deriving transfer functions of physical systems, signal flow graphs proportional, derivation and integral controllers, impulse response functions. First order systems, second order systems, higher order systems
Module-5 (05 hours): Routh's stability criterion, static and dynamic error coefficients, introduction to system optimization. Root locus plots, root locus analysis of control systems, Bode plots, Logarithmic, polar and log magnitude versus phase plots
Module-6 (05 hours): Nyquist stability criterion, stability analysis, closed loop frequency responses, Lag and lead compensations
Module-7 (06 hours): Controllability and observability studies, Liapunov stability analysis, Optimal control systems based on quadratic performance indexes, LQR and LQG Control schemes, Adaptive control systems, Nonlinear control systems, describing function analysis of nonlinear control systems

To teach the students different modeling methodologies for dynamic systems

To provide a basic understanding of the concepts and techniques involved in modelling, designing and realization of control schemes for dynamic systems

To teach the students different methods for analyzing of dynamic responses

To introduce the components and their representation of control systems

At the end of the course, the student will be able to
CO1: Apply engineering and science fundamentals of dynamics to real problems
CO2: Identify the various control system components and their representations
CO3: Design the control systems for mechanical components, systems, and processes
CO4: Apply the concepts of various system stability criterions.
CO5: Analyze the various time and frequency domain responses

B. T. Kulakowski, J. F. Gardner, and J. L. Shearer, Dynamic Modeling and Control of Engineering Systems, Cambridge, , 3rd Edition, 2014

K. Ogata, Modern Control Engineering, PHI , 5th Edition, 2009

Eronini I. Umez-Eronini, System Dynamics and Control, Thomson Engineering , 1st Edition, 1998

Gene Franklin, J. D. Powell, and Abbas Emami-Naeini, Feedback Control of Dynamic Systems, Prentice Hall , 8th Edition, 2022

Nonlinear Dynamics

Journal of Vibration and Control