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Model Reduction is an essential tool that has been applied in many control applications such as control of fluid flows. Most model reduction algorithms assume linear models and fail when applied to nonlinear high dimensional systems, in particular, fluid flow problems with high Reynolds numbers. For example, proper orthogonal decomposition (POD) fails to… (More)

- Samir Sahyoun, Jin Dong, Seddik M. Djouadi
- ACC
- 2013

For a vast variety of fluid flows the dynamics are governed by the Navier-Stokes equations which are highly nonlinear. In particular, the corresponding Galerkin models involve a quadratic type nonlinearity. The latter incudes the Burgers’ equation as well. In this paper, a computational algorithm for nonlinear balanced truncation of the Galerkin models is… (More)

- Samir Sahyoun, Jin Dong, Seddik M. Djouadi
- CDC
- 2012

Explicit model reduction for nonlinear systems with no prior information about the type of nonlinearity involved is difficult and challenging. It is easier to reduce nonlinear systems which nonlinearity is known. In this paper we introduce two nonlinear model reduction techniques for quadratic nonlinear systems. The first technique is nonlinear balanced… (More)

- Xiao Ma, Seddik M. Djouadi, Samir Sahyoun, Paul Benjamin Crilly, Stephen F. Smith
- 14th International Conference on Information…
- 2011

The Theater Positioning System (TPS), which can perform in GPS-denied environments and can work with, or independently of, GPS systems, is used as a backup to GPS in military. The principal difficulty in optimally combining this new system and GPS is caused by the somewhat unpredictable signal propagation of the TPS groundwave signal and thus results in… (More)

This paper presents two approaches to locate the source of a chemical plume; Nonlinear Least Squares and Stochastic Approximation (SA) algorithms. Concentration levels of the chemical measured by special sensors are used to locate this source. Non-linear Least Squares technique is applied at different noise levels and compared with the localization using… (More)

- Woon Cho, Samir Sahyoun, Seddik M. Djouadi, Andreas F. Koschan, Mongi A. Abidi
- Journal of the Optical Society of America. A…
- 2015

Spectral imaging typically generates a large amount of high-dimensional data that are acquired in different sub-bands for each spatial location of interest. The high dimensionality of spectral data imposes limitations on numerical analysis. As such, there is an emerging demand for robust data compression techniques with loss of less relevant information to… (More)

- Seddik M. Djouadi, Samir Sahyoun
- ACC
- 2012

- Samir Sahyoun, Seddik M. Djouadi
- CDC
- 2014

In this paper, we investigate new methods that make the Proper Orthogonal Decomposition (POD) more accurate in reducing the order of large scale nonlinear systems. The general framework is to apply POD locally to clusters instead of applying it to the global system. Each cluster contains relatively close in distance behavior within itself, and considerably… (More)

Nonlinear PDEs domain discretization yields finite but high dimensional nonlinear systems. Proper Orthogonal Decomposition (POD) is widely used to reduce the order of such systems but it assumes that data belongs to a linear space and therefore fails to capture the nonlinear degrees of freedom. To overcome this problem, we develop a Space Vector Clustering… (More)

The Theater Positioning System (TPS), which can perform in GPS-denied environments and can work with, or independently of, GPS systems, was presented in [1]. The principal difficulty in optimally combining this new system and GPS is introduced by the environment, which may impart somewhat unpredictable transmission delays to the signal and thus results in… (More)