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Award Abstract # 0605181
Study of Observability of Nonlinear Distributed Parameter Systems with Applications to Aeroengines and Chemical Reactions

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: BOARD OF TRUSTEES OF SOUTHERN ILLINOIS UNIVERSITY
Initial Amendment Date: August 8, 2006
Latest Amendment Date: August 8, 2006
Award Number: 0605181
Award Instrument: Standard Grant
Program Manager: Mary Ann Horn
DMS
 Division Of Mathematical Sciences
MPS
 Directorate for Mathematical and Physical Sciences
Start Date: August 15, 2006
End Date: May 31, 2010 (Estimated)
Total Intended Award Amount: $91,000.00
Total Awarded Amount to Date: $91,000.00
Funds Obligated to Date: FY 2006 = $91,000.00
History of Investigator:
  • MingQing Xiao (Principal Investigator)
    mxiao@math.siu.edu
Recipient Sponsored Research Office: Southern Illinois University at Carbondale
900 S NORMAL AVE
CARBONDALE
IL  US  62901-4302
(618)453-4540
Sponsor Congressional District: 12
Primary Place of Performance: Southern Illinois University at Carbondale
900 S NORMAL AVE
CARBONDALE
IL  US  62901-4302
Primary Place of Performance
Congressional District:
12
Unique Entity Identifier (UEI): Y28BEBJ4MNU7
Parent UEI:
NSF Program(s): APPLIED MATHEMATICS
Primary Program Source: app-0106 
Program Reference Code(s): 0000, OTHR
Program Element Code(s): 126600
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049

ABSTRACT

This project focuses on the study of observability of nonlinear distributed parameter systems. It consists of three main parts. The first part studies how to translate the observability of infinite-dimensional systems into the finite-dimensional framework from where observer construction is facilitated via topological equivalence approach. The goal is to characterize the asymptotic behaviors of nonlinear distributed parameter systems that have finite-dimensional attractors by a system of ordinary differential equations. The second part pays particular attention to the observer design for aeroengines and chemical reactions, whose systems are governed by nonlinear partial differential equations. The goal is to provide technical methods for the estimation of disturbed flows in aeroengines as well as the estimation of the states of chemical reactions. The last part is devoted to enhancement of the multidisciplinary program at PI's institute.

Technical limitations and/or prohibitively high costs associated with current sensor technology create a situation where all process state variables for direct on-line measurements are not able to be measured. Examples include the monitoring of chemical processes and the estimation of disturbed flows in aeroengines, systems which can mathematically be described by nonlinear evolution equations. Existing theories must be developed and expended to meet these challenges. This project focuses on the development of a mathematical methodology that will be adequate for the analytical and computational needs of state estimations. The research outcome of this project will contribute to the improvement of the safety and efficiency of aeroengine operations and the advancement of the control of various chemical reactions.

PUBLICATIONS PRODUCED AS A RESULT OF THIS RESEARCH

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(Showing: 1 - 10 of 15)
Costas Kravaris, Vassilios Sotiropoulos, Costas Georgiou, Nikolaos Kazantzis, MingQing Xiao, Arthur J. Krener "Nonlinear Design for State and Disturbance Estimation" Systems and Control Letters , v.56 , 2007 , p.730
Costas Kravaris, Vassilios Sotiropoulos, Costas Georgiou, Nikolaos Kazantzis, MingQing Xiao, Arthur J. Krener "Nonlinear Observer Design for State and Disturbance Estimation" Systems and Control Letters , v.56 , 2007 , p.730
D.Xu, J.D. Reeve, X. Wang and M. Xiao "Developmental variability and stability in continuous-time host parasitoid models" Theoretical Population Biology , v.78 , 2010 , p.1 10.1016/j.tpb.2010.03.007
J. Lei, J. Wen, Min A, and M. Xiao "Approximation of Hopkins equation in Hilbert space and its application in polarized illumination modelling" Appl. Aanl , v.4 , 2009 , p.517
MingQing Xiao "Quantitative Characteristic of Rotating Stall and Surge for Moore-Greitzer PDE Model of an Axial Flow Compressor" SIAM Journal on Applied Dynamical Systems , v.7 , 2008
MingQing Xiao "State Estimation for Nonlinear Discrete-Time Systems with Input Signals" IMA Journal of Mathematical Control and Information , v.26 , 2009 , p.141
MINGQING XIAO "The construction of nonlinear discrete-time observers with local Lipschitz condition" European Journal of Control , v.15 , 2009 , p.131
MingQing Xiao, Nikolaos Kazantzis, and Costas Kravaris "Nonlinear Discrete-Time Observer Design With Linearizable Error Dynamics" Proc. of European Control Conference 2007 , 2007 , p.117
M. Xiao, C. Kravaris, and N. Kazantzis "On the nonlinear discrete-time observer design problem" International Journal of Modeling Identification and Control , v.4 , 2008 , p.3
X. Dai, Y. Huang, and M. Xiao "Almost sure stability of discrete-time switched linear systems: a topological point of view" SIAM J. of Control and Optimization , v.47 , 2009 , p.2
X. Dai, Y. Huang, and M. Xiao "Asymptotic stability criteria of continuous-time switched systems by using Liao-Type exponents" SIAM J. of Control Optim. , v.48 , 2010 , p.32
(Showing: 1 - 10 of 15)

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