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DCL Lecture Series: Dyadic Perturbation Observer Framework for Control of a Class of Nonlinear PDE/ODE Systems by Dr. Aditya Paranjape

Event Type
Seminar/Symposium
Sponsor
Decision and Control Laboratory, Coordinated Science Laboratory
Location
141 CSL
Date
Aug 28, 2013   3:00 - 4:00 pm  
Speaker
Dr. Aditya Paranjape, Future Asst. Prof. at McGill University
Contact
Angie Ellis
E-Mail
amellis@illinois.edu
Phone
217/300-1910
Views
2228

Decision and Control Lecture Series

Decision and Control Laboratory, Coordinated Science Laboratory

 

Dyadic Perturbation Observer Framework for Control of a Class of Nonlinear PDE/ODE Systems

 

Aditya Paranjape

Postdoctoral Researcher, University of Illinois

Future Assistant Professor in Mechanical Engineering, McGill University

 Wednesday, August 28, 2013

3:00 p.m. to 4:00 p.m.

141 CSL

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Abstract

The control of systems described by partial differential equations (PDEs) is a challenging problem. In particular, unlike systems described by ordinary differential equations (ODEs), methods for systems described by nonlinear PDEs are usually case-specific. In this talk, I will present an approach for controlling nonlinear systems, called a dyadic perturbation observer (DPO), which was developed primarily as a generic (as against a case-specific) method for the boundary control of systems described by PDEs. The method is equally applicable to a system of nonlinear ODEs. This approach decomposes the system into two parts: a linear (homogeneous) system with just the control signal but no nonlinearities, and a nonlinear (particular) system without the control input (and homogeneous boundary conditions for PDE systems). The control signal is designed to ensure that the output of the homogeneous system tracks the desired output minus the output of the ``particular'' system. The stability of the closed loop system is proved using the small gain theorem. The method is demonstrated through simulations as well as in experiments on a bending beam.

Biography

Aditya Paranjape was born in Mumbai, India. He received the degrees of B. Tech and M. Tech from IIT Bombay in 2007, and Ph.D. from UIUC in 2011, all of them in Aerospace Engineering. He is currently a postdoctoral researcher with Prof. Soon-Jo Chung, and will start shortly as a faculty member in Mechanical Engineering at McGill University, Montreal, Canada. His research interests include flight dynamics and nonlinear control.

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