Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain

In this paper, an underwater robot system with nonlinear characteristics is studied by a backstepping method. Based on the state preservation problem of an Autonomous Underwater Vehicle (AUV), this paper applies the backstepping probabilistic gain controller to the nonlinear system of the AUV for th...

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Main Authors: Yudong Peng, Longchuan Guo, Qinghua Meng
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/21/3958
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author Yudong Peng
Longchuan Guo
Qinghua Meng
author_facet Yudong Peng
Longchuan Guo
Qinghua Meng
author_sort Yudong Peng
collection DOAJ
description In this paper, an underwater robot system with nonlinear characteristics is studied by a backstepping method. Based on the state preservation problem of an Autonomous Underwater Vehicle (AUV), this paper applies the backstepping probabilistic gain controller to the nonlinear system of the AUV for the first time. Under the comprehensive influence of underwater resistance, turbulence, and driving force, the motion of the AUV has strong coupling, strong nonlinearity, and an unpredictable state. At this time, the system’s output feedback can solve the problem of an unmeasurable state. In order to achieve a good control effect and extend the cruising range of the AUV, first, this paper will select the state error to make it a new control objective. The system’s control is transformed into the selection of system parameters, which greatly simplifies the degree of calculation. Second, this paper introduces the concept of a stochastic backstepping control strategy, in which the robot’s actuators work discontinuously. The actuator works only when there is a random disturbance, and the control effect is not diminished. Finally, the backstepping probabilistic gain controller is designed according to the nonlinear system applied to the simulation model for verification, and the final result confirms the effect of the controller design.
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spelling doaj.art-5e9471d0ae844db98d6ffce94bbf65202023-11-24T05:42:44ZengMDPI AGMathematics2227-73902022-10-011021395810.3390/math10213958Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability GainYudong Peng0Longchuan Guo1Qinghua Meng2School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, ChinaSchool of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, ChinaIn this paper, an underwater robot system with nonlinear characteristics is studied by a backstepping method. Based on the state preservation problem of an Autonomous Underwater Vehicle (AUV), this paper applies the backstepping probabilistic gain controller to the nonlinear system of the AUV for the first time. Under the comprehensive influence of underwater resistance, turbulence, and driving force, the motion of the AUV has strong coupling, strong nonlinearity, and an unpredictable state. At this time, the system’s output feedback can solve the problem of an unmeasurable state. In order to achieve a good control effect and extend the cruising range of the AUV, first, this paper will select the state error to make it a new control objective. The system’s control is transformed into the selection of system parameters, which greatly simplifies the degree of calculation. Second, this paper introduces the concept of a stochastic backstepping control strategy, in which the robot’s actuators work discontinuously. The actuator works only when there is a random disturbance, and the control effect is not diminished. Finally, the backstepping probabilistic gain controller is designed according to the nonlinear system applied to the simulation model for verification, and the final result confirms the effect of the controller design.https://www.mdpi.com/2227-7390/10/21/3958complex nonlinear systemsstate keepingBernoulli distributionfeedback control with backsteppingprobability gain control
spellingShingle Yudong Peng
Longchuan Guo
Qinghua Meng
Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
Mathematics
complex nonlinear systems
state keeping
Bernoulli distribution
feedback control with backstepping
probability gain control
title Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
title_full Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
title_fullStr Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
title_full_unstemmed Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
title_short Backstepping Control Strategy of an Autonomous Underwater Vehicle Based on Probability Gain
title_sort backstepping control strategy of an autonomous underwater vehicle based on probability gain
topic complex nonlinear systems
state keeping
Bernoulli distribution
feedback control with backstepping
probability gain control
url https://www.mdpi.com/2227-7390/10/21/3958
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AT longchuanguo backsteppingcontrolstrategyofanautonomousunderwatervehiclebasedonprobabilitygain
AT qinghuameng backsteppingcontrolstrategyofanautonomousunderwatervehiclebasedonprobabilitygain