Advanced process dynamics

ABOUT THE COURSE:Analysis of dynamics of processes is an integral part of the design of process control systems. The development of a successful control strategy requires a thorough knowledge of the process dynamics under various process conditions. This course details the analysis of techniques for dealing with dynamical systems, both linear and non-linear.INTENDED AUDIENCE:Senior undergraduate and masters students of chemical engineering; will be equally useful for the students of biotechnology, mechanical engineering, aerospace engineering and physics.PREREQUISITES:The students should preferably be in their third year or later of the undergraduate degree.INDUSTRY SUPPORT:Honeywell, ABB

Week 1: Motivation for the study of process dynamics, State-space domain analysis of linear autonomous first order systems, Lumped parameter analysis of cooling of a body Week 2:Introduction to higher order systems, Phase plane analysis of linear autonomous second order systems, Analysis of a free spring-mass system Week 3:Analysis of dynamics of non-autonomous systems, Similarity solution for non-autonomous higher order dynamics, Analysis of a forced spring-mass system Week 4:Phase plane analysis of linear systems of order three and higher, Analysis of complex reaction systems Week 5:Introduction to non-linear systems, Logistic population growth model, Logistic population growth with harvesting Week 6:Logistic population growth with threshold population, Analysis of population dynamics in discrete domain, Analysis of fixed-points and bifurcation in discrete domain Week 7:Higher order non-linear systems, Bifurcations in higher order non-linear systems, Reactor stability analysis Week 8:Analysis of infectious disease dynamics, Analysis of atmosphere dynamics using Lorenz equations Week 9:Analysis of system dynamics in transform domain - Review of Laplace transforms, Analysis of first order systems subjected to ideal forcing functions, Analysis of response of second order systems Week 10:Analysis of (p,q) order systems, Analysis of inverse response systems Week 11:Analysis of dynamics of discrete-time systems, Sampling and reconstruction of continuous variables Week 12:Response of discrete-time systems, Stability of discrete-time systems