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Nonlinear control for dual quaternio...

Price, William D.

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Nonlinear control for dual quaternion systems.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear control for dual quaternion systems./
Author:	Price, William D.
Description:	156 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.
Contained By:	Dissertation Abstracts International75-04B(E).
Subject:	Engineering, Aerospace. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3605675
ISBN:	9781303624032

Nonlinear control for dual quaternion systems.
Price, William D.

Nonlinear control for dual quaternion systems. - 156 p.

Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.

Thesis (Ph.D.)--Embry-Riddle Aeronautical University, 2013.

The motion of rigid bodies includes three degrees of freedom (DOF) for rotation, generally referred to as roll, pitch and yaw, and 3 DOF for translation, generally described as motion along the x, y and z axis, for a total of 6 DOF. Many complex mechanical systems exhibit this type of motion, with constraints, such as complex humanoid robotic systems, multiple ground vehicles, unmanned aerial vehicles (UAVs), multiple spacecraft vehicles, and even quantum mechanical systems. These motions historically have been analyzed independently, with separate control algorithms being developed for rotation and translation. The goal of this research is to study the full 6 DOF of rigid body motion together, developing control algorithms that will affect both rotation and translation simultaneously. This will prove especially beneficial in complex systems in the aerospace and robotics area where translational motion and rotational motion are highly coupled, such as when spacecraft have body fixed thrusters.

ISBN: 9781303624032Subjects--Topical Terms:

1018395
Engineering, Aerospace.

Nonlinear control for dual quaternion systems.
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020 $a 9781303624032
035 $a (MiAaPQ)AAI3605675
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040 $a MiAaPQ $c MiAaPQ
100 1 $a Price, William D. $3 3169095
245 1 0 $a Nonlinear control for dual quaternion systems.
300 $a 156 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-04(E), Section: B.
500 $a Adviser: Sergey V. Drakunov.
502 $a Thesis (Ph.D.)--Embry-Riddle Aeronautical University, 2013.
520 $a The motion of rigid bodies includes three degrees of freedom (DOF) for rotation, generally referred to as roll, pitch and yaw, and 3 DOF for translation, generally described as motion along the x, y and z axis, for a total of 6 DOF. Many complex mechanical systems exhibit this type of motion, with constraints, such as complex humanoid robotic systems, multiple ground vehicles, unmanned aerial vehicles (UAVs), multiple spacecraft vehicles, and even quantum mechanical systems. These motions historically have been analyzed independently, with separate control algorithms being developed for rotation and translation. The goal of this research is to study the full 6 DOF of rigid body motion together, developing control algorithms that will affect both rotation and translation simultaneously. This will prove especially beneficial in complex systems in the aerospace and robotics area where translational motion and rotational motion are highly coupled, such as when spacecraft have body fixed thrusters.
520 $a A novel mathematical system known as dual quaternions provide an efficient method for mathematically modeling rigid body transformations, expressing both rotation and translation. Dual quaternions can be viewed as a representation of the special Euclidean group SE(3). An eight dimensional representation of screw theory (combining dual numbers with traditional quaternions), dual quaternions allow for the development of control techniques for 6 DOF motion simultaneously. In this work variable structure nonlinear control methods are developed for dual quaternion systems. These techniques include use of sliding mode control. In particular, sliding mode methods are developed for use in dual quaternion systems with unknown control direction. This method, referred to as self-reconfigurable control, is based on the creation of multiple equilibrium surfaces for the system in the extended state space. Also in this work, the control problem for a class of driftless nonlinear systems is addressed via coordinate transformation. It is shown that driftless nonlinear systems that do not meet Brockett's conditions for coordinate transformation can be augmented such that they can be transformed into the Brockett's canonical form, which is nonholonomic. It is also shown that the kinematics for quaternion systems can be represented by a nonholonomic integrator. Then, a discontinuous controller designed for nonholonomic systems is applied. Examples of various applications for dual quaternion systems are given including spacecraft attitude and position control and robotics.
590 $a School code: 1076.
650 4 $a Engineering, Aerospace. $3 1018395
650 4 $a Engineering, Robotics. $3 1018454
650 4 $a Physics, Astronomy and Astrophysics. $3 1019521
690 $a 0538
690 $a 0771
690 $a 0606
710 2 $a Embry-Riddle Aeronautical University. $b Engineering Physics. $3 3169096
773 0 $t Dissertation Abstracts International $g 75-04B(E).
790 $a 1076
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3605675