Dear all:
We would like to invite you to attend a talk by Dr. Mani Bhushan, faculty, Department of Chemical Engineering, IIT Bombay.
Date: 11/07/2016
Time: 3.30 pm
Duration: 1hr
Venue: Hall 1, IIT Madras Research Park,
Tharamani, Kanagam Road, Chennai 600 113
---------------------------------------------------------------------------------------------------------------------
Abstract: Online implementation of various tasks such as model based
optimal control, state estimation, etc. involves repeated solving of
optimization problems with same structure but with different parameter
values. In recent literature, multiparametric programming has emerged
as a popular option for facilitating online optimization of such tasks for
fast dynamical systems. Multiparametric programming divides the parameter
space into the so-called critical regions and pre-computes optimal
solutions offline as a function of the parameters for these critical
regions. The online step thus involves determination of the critical
region in which the current point(parameter) is located. However, for
large number of critical regions, this point location problem can itself
become computationally challenging.
In this work, we propose a linear machine based novel approach for the
point location problem. The approach, motivated from pattern classification
literature, involves associating linear discriminant functions with the
critical regions. The current point is then assigned to the critical region
with the largest discriminant function value. We also establish a
necessary condition for existence of linear machine and propose a modified
procedure, involving systematic subdivision of the parametric space, when
this condition is not satisfied. Analysis of complexity and storage
requirements, along with computational experiments on a large sized
example, indicate that linear machine can be an efficient tool for solving
the point location problem.
---------------------------------------------------------------------------------------------------------------------
About the speaker:
Dr.Mani Bhushan is currently a Professor in the Department of Chemical Engineering, IIT Bombay. He earned both his Ph. D. in Chemical Engineering (2001) and his B. Tech. (1997) in Chemical Engineering from IIT Bombay.
Mani was a post- doctoral fellow at Purdue University, from 2001 – 2002.
Dr. Mani Bushan was an assistant professor at the University of Alberta, Canada for a couple of years before returning to his Alma mater, IIT Bombay. His research areas include:
1. Sensor Network Design
2. Optimal Alarm Management
3. Process Planning and Scheduling
4. Process Safety Analysis
Looking forward to seeing you all on Monday.
Suchitra