LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints

A nonlinear model predictive control (MPC) is proposed for underactuated surface vessel (USV) with constrained inputs. Aimed at the special structure of USV, a state-dependent coefficient (SDC) under the given USV is constructed in terms of diffeomorphism and state-dependent Riccati equation (SDRE)...

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Main Authors: Lutao Liu, Zhilin Liu, Jun Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/673256
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author Lutao Liu
Zhilin Liu
Jun Zhang
author_facet Lutao Liu
Zhilin Liu
Jun Zhang
author_sort Lutao Liu
collection DOAJ
description A nonlinear model predictive control (MPC) is proposed for underactuated surface vessel (USV) with constrained inputs. Aimed at the special structure of USV, a state-dependent coefficient (SDC) under the given USV is constructed in terms of diffeomorphism and state-dependent Riccati equation (SDRE) theory. Based on linear matrix inequalities (LMIs), the states of the USV are steered into an operating region around zero. When the states reach the region, the control law is switched to stabilize the system. And the constrained control input of the considered system is solved by convex optimization based on MPC involving LMIs. The simulation results verified the effectiveness of the proposed method. It is shown that, based on LMIs, it is easy to get the MPC for the USV with input constraints.
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series Abstract and Applied Analysis
spelling doaj-art-101e07d1780649bc9982eff56b29329a2025-08-20T02:02:32ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/673256673256LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input ConstraintsLutao Liu0Zhilin Liu1Jun Zhang2College of Information and Telecommunication, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaCollege of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, ChinaSchool of Electrical and Information Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, ChinaA nonlinear model predictive control (MPC) is proposed for underactuated surface vessel (USV) with constrained inputs. Aimed at the special structure of USV, a state-dependent coefficient (SDC) under the given USV is constructed in terms of diffeomorphism and state-dependent Riccati equation (SDRE) theory. Based on linear matrix inequalities (LMIs), the states of the USV are steered into an operating region around zero. When the states reach the region, the control law is switched to stabilize the system. And the constrained control input of the considered system is solved by convex optimization based on MPC involving LMIs. The simulation results verified the effectiveness of the proposed method. It is shown that, based on LMIs, it is easy to get the MPC for the USV with input constraints.http://dx.doi.org/10.1155/2014/673256
spellingShingle Lutao Liu
Zhilin Liu
Jun Zhang
LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
Abstract and Applied Analysis
title LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
title_full LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
title_fullStr LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
title_full_unstemmed LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
title_short LMI-Based Model Predictive Control for Underactuated Surface Vessels with Input Constraints
title_sort lmi based model predictive control for underactuated surface vessels with input constraints
url http://dx.doi.org/10.1155/2014/673256
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