Paper WeC18.5

Gu, Guoxiang (Louisiana State Univ.), Pachter, Meir (AFIT/ENG), 
Chandler, Phillip R. (USAF), Schumacher, Corey (Air Force Research 
Laboratory)

Target Motion Analysis Based on RF Power and Doppler Measurements

Abstract

This paper investigates target motion analysis (TMA) based on noisy 
measurements of power and Doppler from a radio frequency (RF) emitter. 
The research is motivated by the fact that Doppler measurements for RF 
signals are much easier to obtain and power measurements are always 
available. More importantly power and Doppler measurements complement 
each other in terms of the Fisher information content. However both 
these measurements are highly nonlinear functions of the TMA parameters, 
specified uniquely by its initial position and velocity. In addition 
direct use of these measurements in TMA introduces the nuisance 
parameters leading to poor numerical conditioning because of the very 
high source frequency, and very small power proportional constant for RF 
signals. Hence ratios of the neighboring measurements are used to 
eliminate the nuisance parameters and provide normalization of the 
measurement equations. An iterative least-squares (LS) algorithm is 
developed, and is shown to be effective through a numerical example.

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Paper ThB15.3

Mazenc, Frederic (INRIA Sophia-Antipolis,), Malisoff, Michael (Louisiana 
State University), Bernard, Olivier (Inria)

Lyapunov Functions and Robustness Analysis under Matrosov Conditions 
with an Application to Biological Systems

Abstract

We construct strict Lyapunov functions for broad classes of nonlinear 
systems satisfying Matrosov type conditions. Our new constructions are 
simpler than the designs available in the literature. We illustrate our 
designs using a model for an experimental anaerobic digester used to 
treat wastewater.

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Paper ThB15.5

Malisoff, Michael (Louisiana State University), Mazenc, Frederic (INRIA 
Sophia-Antipolis,), de Queiroz, Marcio (Louisiana State University)

Remarks on Tracking and Robustness Analysis for MEM Relays

Abstract

We announce a new class of tracking controllers, applicable to both 
electrostatic and electromagnetic microelectromechanical (MEM) relays, 
that yield arbitrarily fast local exponential convergence of the 
tracking error to zero and uniform global asymptotic stability of the 
error dynamics. Our stability analysis is based on an explicit, strict, 
global Lyapunov function construction. Our Lyapunov approach also leads 
to an input-to-state stability based quantification of the effects of 
parametric uncertainty on the tracking performance. The MEM dynamics 
contain a quadratic nonlinearity that leads to constraints on the class 
of reference trajectories that can be tracked. We illustrate how to 
craft a reference trajectory that is compatible with these constraints 
and with a typical opening and closing relay operation. Our simulation 
indicates the good tracking performance of our controllers.