On the effectiveness of constant coefficients roll motion equation

1996 ◽  
Vol 23 (7) ◽  
pp. 597-618 ◽  
Author(s):  
Giorgio Contento ◽  
Alberto Francescutto ◽  
Maurizio Piciullo
Keyword(s):  
Motion Equation ◽  
Roll Motion ◽  
Constant Coefficients

DESIGN OF SURGE AND ROLL MOTION CONTROL SYSTEM OF ITSUNUSA AUV USING PID CONTROLLER

JOURNAL ASRO ◽  
2018 ◽  
Vol 9 (1) ◽  
pp. 139
Author(s):  
Teguh Herlambang ◽  
Subchan Subchan
Keyword(s):  
Control System ◽  
Motion Control ◽  
Pid Control ◽  
Pid Controller ◽  
Autonomous Underwater Vehicle ◽  
Motion Equation ◽  
Roll Motion ◽  
Proportional Integral Derivative ◽  
Motion Control System ◽  
Nonlinear Motion

ABSTRACT This paper is about designing motion control system with 2-DOF motion equation to be applied to an Autonomous Underwater Vehicle (AUV) system. The 2-DOF motion equation which consists of surge and roll motion in the form of equations of nonlinear motion. The control system design applied to the ITSUNUSA AUV system uses the Proportional Integral Derivative (PID) method. The simulation results of the PID control system with the motion equation with 2-DOF on the ITSUNUSA AUV system show that the system proves to be stable at a predetermined set-point with an error of 0.01% for surge motion and that with an error of 4.2% for roll motion.  Keywords: AUV, motion control, PID

Deterministic Mechanism of Irreversibility

2018 ◽  
Vol 14 (3) ◽  
pp. 5708-5733 ◽  
Author(s):  
Vyacheslav Michailovich Somsikov
Keyword(s):  
Internal Energy ◽  
Hamiltonian Systems ◽  
Classical Mechanics ◽  
Motion Equation ◽  
Holonomic Constraints ◽  
Dissipative Processes ◽  
Motion Energy ◽  
Analytical Review ◽  
History Of ◽  
Material Points

The analytical review of the papers devoted to the deterministic mechanism of irreversibility (DMI) is presented. The history of solving of the irreversibility problem is briefly described. It is shown, how the DMI was found basing on the motion equation for a structured body. The structured body was given by a set of potentially interacting material points. The taking into account of the body’s structure led to the possibility of describing dissipative processes. This possibility caused by the transformation of the body’s motion energy into internal energy. It is shown, that the condition of holonomic constraints, which used for obtaining of the canonical formalisms of classical mechanics, is excluding the DMI in Hamiltonian systems. The concepts of D-entropy and evolutionary non-linearity are discussed. The connection between thermodynamics and the laws of classical mechanics is shown. Extended forms of the Lagrange, Hamilton, Liouville, and Schrödinger equations, which describe dissipative processes, are presented.

scholarly journals Coarse cohomology with twisted coefficients

2020 ◽  
Vol 70 (6) ◽  
pp. 1413-1444
Author(s):  
Elisa Hartmann
Keyword(s):  
Sheaf Cohomology ◽  
Grothendieck Topology ◽  
Coarse Structure ◽  
Relative Cohomology ◽  
Number Of Ends ◽  
Constant Coefficients ◽  
Coarse Space ◽  
Grothendieck Topologies

AbstractTo a coarse structure we associate a Grothendieck topology which is determined by coarse covers. A coarse map between coarse spaces gives rise to a morphism of Grothendieck topologies. This way we define sheaves and sheaf cohomology on coarse spaces. We obtain that sheaf cohomology is a functor on the coarse category: if two coarse maps are close they induce the same map in cohomology. There is a coarse version of a Mayer-Vietoris sequence and for every inclusion of coarse spaces there is a coarse version of relative cohomology. Cohomology with constant coefficients can be computed using the number of ends of a coarse space.

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