DocumentCode :
794020
Title :
Minimum-energy control of a second-order nonlinear system
Author :
Bongiorno, Joseph J., Jr.
Author_Institution :
Polytechnic Institute of Brooklyn, Brooklyn, NY, USA
Volume :
12
Issue :
3
fYear :
1967
fDate :
6/1/1967 12:00:00 AM
Firstpage :
249
Lastpage :
255
Abstract :
This paper establishes the bounded control function 
which minimizes the total energy expended by a submerged vehicle (for propulsion and hotel load) in a rectilinear translation with arbitrary initial velocity, arbitrary displacement, and zero final velocity. The motion of the vehicle is determined by the nonlinear differential equation 
. The performance index to be minimized is given by 
, with 
open and 
The analysis is accomplished with the use of the Pontryagin maximum principle. It is established that singular controls can result when 
. 
is the maximum value of 
.
which minimizes the total energy expended by a submerged vehicle (for propulsion and hotel load) in a rectilinear translation with arbitrary initial velocity, arbitrary displacement, and zero final velocity. The motion of the vehicle is determined by the nonlinear differential equation . The performance index to be minimized is given by , with open and The analysis is accomplished with the use of the Pontryagin maximum principle. It is established that singular controls can result when . is the maximum value of .Keywords :
Minimum-energy control; Nonlinear systems; Underwater vehicle control; Automatic control; Control systems; Electrical equipment industry; Fuels; Industrial control; Navigation; Nonlinear control systems; Nonlinear systems; Optimal control; Performance analysis;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1967.1098565
Filename :
1098565
Link To Document :
