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  <title><![CDATA[Ph.D. Thesis Defense:  Matthew Gross]]></title>
  <body><![CDATA[<p><strong>Ph.D. Thesis Defense by</strong></p>

<h2><strong>Matthew Gross</strong></h2>

<p><strong>Advisor: Dr. Mark Costello</strong></p>

<h2><strong>&ldquo;Smart Projectile Parameter Estimation Using </strong><br />
<strong>Meta-Optimization&rdquo;</strong></h2>

<p><strong>Monday, July 31, 2017 @ 1 p.m.</strong><br />
<strong>Montgomery-Knight Room 317</strong></p>

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<p><strong>Abstract</strong><br />
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; System identification and parameter estimation are valuable tools in the analysis and design of smart projectile systems.&nbsp; Given the complexity of these systems, it is convenient to work with mathematical models in place of the actual system.&nbsp; Parameter estimation uses time history data of the system to determine a model that accurately matches the data.&nbsp; Many techniques have been developed to perform parameter estimation, including regression methods, maximum likelihood estimators, and Kalman filters.&nbsp;</p>

<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Maximum likelihood methods, in particular the output error method (OEM), pose the estimation problem in terms of an optimization problem.&nbsp; OEM has seen extensive use on projectile systems, utilizing a numerical optimizer such as a Newton style algorithm to solve for unknown parameters.&nbsp; These algorithms are prone to converging on local minima present in the projectile dynamics, requiring reasonable initial guesses of the parameters to ensure convergence.&nbsp; However, for new smart projectile systems, prior estimates of the control parameters may not be available.&nbsp; Thus, there is a need for reliable and robust parameter estimation methods that are not dependent a priori knowledge of the parameters.</p>

<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; This thesis proposes a new method for smart projectile parameter estimation based on OEM.&nbsp; To achieve robust and reliable parameter estimates, a new underlying optimization algorithm is formed dubbed meta-optimization.&nbsp; Meta-optimization employs a diverse set of individual optimization algorithms with both local and global search capabilities.&nbsp; The meta-optimizer operates by iteratively selecting a single algorithm to deploy in a stochastic manner, giving preference to algorithms which have performed well on the problem.&nbsp; This approach allows synergies to develop between the individual optimizers, boosting performance beyond what each optimizer is capable of individually.&nbsp; A suite of benchmark functions are used to analyze the meta-optimization framework and compare it to other existing algorithms.</p>

<p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; The new parameter estimation method is applied to an example smart projectile system equipped with a new control mechanism.&nbsp; Both synthetic and experimental trajectory data is used to evaluate the effective of the proposed method.&nbsp; For the standard projectile and a smart projectile executing a maneuver, the method obtains good estimates of the parameters for this system in the presence of measurement noise.</p>
</div>

<div>
<p><strong>Committee Members</strong><br />
Dr. Mark Costello, AE (Advisor)<br />
Dr. Brian German, AE<br />
Dr. Eric Johnson, AE<br />
Dr. Graeme Kennedy, AE<br />
Dr. Aldo Ferri, ME</p>
</div>
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