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Model abstraction in dynamical syste...

Mellodge, Patricia.

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Model abstraction in dynamical systems: Application to mobile robot control.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Model abstraction in dynamical systems: Application to mobile robot control./
Author:	Mellodge, Patricia.
Description:	138 p.
Notes:	Adviser: Pushkin Kachroo.
Contained By:	Dissertation Abstracts International68-10B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3286995
ISBN:	9780549297949

Model abstraction in dynamical systems: Application to mobile robot control.
Mellodge, Patricia.

Model abstraction in dynamical systems: Application to mobile robot control. - 138 p.

Adviser: Pushkin Kachroo.

Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2007.

To reduce complexity of system analysis and control design, simplified models that capture the behavior of interest in the original system can be obtained. These simplified models, called abstractions, can be analyzed more easily than the original complex model. Hierarchies of consistent abstractions can significantly reduce the complexity in determining the reachability properties of nonlinear systems. Such consistent hierarchies of reachability-preserving nonlinear abstractions are considered for the robotic car. Not only can these abstractions be analyzed with respect to some behavior of interest, they can also be used to transfer control design for the complex model to the simplified model. In this work, the abstraction is applied to the car/unicycle system. Working towards control design, it is seen that there are certain classes of trajectories that exist in the rolling disk system that cannot be achieved by the robotic car. In order to account for these cases, the new concepts of traceability and epsilon-traceability are introduced.

ISBN: 9780549297949Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Model abstraction in dynamical systems: Application to mobile robot control.
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020 $a 9780549297949
035 $a (UMI)AAI3286995
035 $a AAI3286995
040 $a UMI $c UMI
100 1 $a Mellodge, Patricia. $3 923888
245 1 0 $a Model abstraction in dynamical systems: Application to mobile robot control.
300 $a 138 p.
500 $a Adviser: Pushkin Kachroo.
500 $a Source: Dissertation Abstracts International, Volume: 68-10, Section: B, page: 6863.
502 $a Thesis (Ph.D.)--Virginia Polytechnic Institute and State University, 2007.
520 $a To reduce complexity of system analysis and control design, simplified models that capture the behavior of interest in the original system can be obtained. These simplified models, called abstractions, can be analyzed more easily than the original complex model. Hierarchies of consistent abstractions can significantly reduce the complexity in determining the reachability properties of nonlinear systems. Such consistent hierarchies of reachability-preserving nonlinear abstractions are considered for the robotic car. Not only can these abstractions be analyzed with respect to some behavior of interest, they can also be used to transfer control design for the complex model to the simplified model. In this work, the abstraction is applied to the car/unicycle system. Working towards control design, it is seen that there are certain classes of trajectories that exist in the rolling disk system that cannot be achieved by the robotic car. In order to account for these cases, the new concepts of traceability and epsilon-traceability are introduced.
520 $a This work also studies the relationship between the evolution of uncertain initial conditions in abstracted control systems. It is shown that a control system abstraction can capture the time evolution of the uncertainty in the original system by an appropriate choice of control input. Abstracted control systems with stochastic initial conditions show the same behavior as systems with deterministic initial conditions. A conservation law is applied to the probability density function (pdf) requiring that the area under it be unity. Application of the conservation law results in a partial differential equation known as the Liouville equation, for which a closed form solution is known. The solution provides the time evolution of the initial pdf which can be followed by the abstracted system.
590 $a School code: 0247.
650 4 $a Engineering, Electronics and Electrical. $3 626636
690 $a 0544
710 2 $a Virginia Polytechnic Institute and State University. $3 1017496
773 0 $t Dissertation Abstracts International $g 68-10B.
790 $a 0247
790 1 0 $a Kachroo, Pushkin, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3286995