The first step in designing a control system for a rigid body is to understand its dynamics. Underwater vehicle dynamics may be complex and difficult to model, mainly due to difficulties in observing and measuring actual underwater vehicle hydrodynamics response. This paper is concerned with structure selection of nonlinear polynomials in a Volterra polynomial basis function neural network and recursive parameter estimation of the selected model, in order to obtain a model of a variable mass underwater vehicle with six degrees of freedom using an input-output data set. The simulation results reveal the efficiency of the approach.
Issue Section:
Technical Briefs
1.
Leontaritis
, I. J.
, and Billings
, S. A.
, 1987, “Model Selection and Validation Methods for Non-Linear Systems
,” Int. J. Control
0020-7179, 45
(1
), pp. 311
–341
.2.
Billings
, S. A.
, and Voon
, W. S. F.
, 1986, “A Prediction-Error and Stepwise Regression Estimation Algorithm for Non-Linear Systems
,” Int. J. Control
0020-7179, 44
(3
), pp. 803
–822
.3.
Ljung
, L.
, and Glad
, T.
, 1994, Modelling of Dynamic Systems, Information and System Sciences Series
, Prentice Hall
, Englewood Cliffs, NJ
.4.
Liu
, G. P.
, 2001, Nonlinear Identification and Control
, Springer
, New York
.5.
Liu
, G. P.
, Kadirkamanathan
, V.
, and Billings
, S. A.
, 1997. “On-Line Identification of Nonlinear Systems Using Volterra Polynomial Basis Function Neural Networks
,” Proceedings of the Fourth European Control Conference
, Brussels.6.
Liu
, G. P.
, Kadirkamanathan
, V.
, and Billings
, S. A.
, 1998, “On-Line Identification for Nonlinear Systems Using Volterra Polynomial Neural Networks
,” Neural Networks
0893-6080, 11
, pp. 1645
–1657
.7.
Perstro
, T.
, 1994, “Verification of a Six-Degree of Freedom Simulation Model for the REMUS Autonomous Underwater Vehicle
,” MS thesis, University of California at Davis, CA.8.
Brutzman
, D.
, 1994, “A Virtual World For an Autonomous Underwater Vehicle
,” Ph.D. thesis, Naval Postgraduated School, CA.9.
Caccia
, M.
, Indiveri
, G.
, and Veruggio
, G.
, 2000, “Modeling and Identification of Open-Frame Variable Configuration Underwater Vehicles
,” IEEE J. Ocean. Eng.
0364-9059, 25
, pp. 227
–240
.10.
Morrison
, A. T.
, and Yoerger
, D. R.
, 1993, “Determination of the Hydrodynamic Parameters of an Underwater Vehicle During Small Scale, Nonuniform, 1-Dimensional Translation
,” Proceedings of the IEEE/MTS Ocean
, pp. 277
–282
.11.
Kinsey
, J. C.
, and Whitcomb
, L.
, 2007, “Adaptive Identification on the Group of Rigid-Body Rotations and Its Application to Underwater Vehicle Navigation
,” IEEE Trans. Robotics
, 23
(1
), pp. 124
–136
.12.
Rentschler
, M. E.
, Hover
, F. S.
, and Chryssostomidis
, C.
, 2006, “System Identification of Open-Loop Maneuvers Leads to Improved AUV Flight Performance
,” IEEE J. Ocean. Eng.
0364-9059, 31
, pp. 200
–208
.13.
Leontaritis
, I. J.
, and Billins
, S. A.
, 1987, “Input-Output Parametric Models for Nonlinear Systems, Part I and II
,” Int. J. Control
0020-7179, 41
(1
), pp. 303
–344
.14.
Haykin
, S.
, 1994, Neural Networks: A Comprehensive Foundation
, Macmillan
, New York
.15.
Biling
, S. A.
, Chen
, S.
, and Korenberg
, M. J.
, 1988, “Identification of MIMO Nonlinear Systems Using a Forward-Regression Orthogonal Estimator
,” Int. J. Control
0020-7179, 49
, pp. 2157
–2189
.16.
Billings
, S. A.
, Korenberg
, M. J.
, and Chen
, S.
, 1988, “Identification of Nonlinear Output-Affine Systems Using an Orthogonal Least Square Algorithm
,” Int. J. Syst. Sci.
0020-7721, 19
, pp. 1559
–1568
.17.
Liu
, G. P.
, Kadirkamanathan
, V.
, and Billings
, S. A.
, 1999, “Neural Network Based Variable Structure System Nonlinear Control
,” Int. J. Syst. Sci.
0020-7721, 30
(10
), pp. 1153
–1160
.18.
Binazadeh
, T.
, 2005, “Modeling and Motion Control of Variable Mass Underwater Vehicle
,” MS thesis, Shiraz University, Iran.19.
Blake
, W. B.
, 1998, Missile Datcom User’s Manual—1997 FORTRAN 90 Revision, Tech. Rep. No. VA-WP-TR-1998–3009, Air Force Research Laboratory, Wright Patterson Air Force Base, OH.20.
Baumann
, W.
, Schaum
, S.
, Roepke
, K.
, and Knaak
, M.
, 2008, “Excitation Signals for Nonlinear Dynamic Modeling of Combustion Engines
,” Proceedings of the 17th World Congress, The International Federation of Automatic Control
, Seoul, Korea.Copyright © 2010
by American Society of Mechanical Engineers
You do not currently have access to this content.