A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach

One of the challenges facing robot tracking is the difficulty of controlling variety types of robots in known and unknown environments. This paper proposes a new strategy of path tracking for a non-holonomic mobile robot subject to kinematic disturbances using model prediction control and H2/H∞ cont...

Full description

Bibliographic Details
Main Authors: Sibang Liu, Kuili Liu, Zhen Zhong, Jinghan Yi, Hamdulah Aliev
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Journal of King Saud University: Computer and Information Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319157821003347
_version_ 1811197399565074432
author Sibang Liu
Kuili Liu
Zhen Zhong
Jinghan Yi
Hamdulah Aliev
author_facet Sibang Liu
Kuili Liu
Zhen Zhong
Jinghan Yi
Hamdulah Aliev
author_sort Sibang Liu
collection DOAJ
description One of the challenges facing robot tracking is the difficulty of controlling variety types of robots in known and unknown environments. This paper proposes a new strategy of path tracking for a non-holonomic mobile robot subject to kinematic disturbances using model prediction control and H2/H∞ control by Gain-scheduled control law. In this regard, the problem of tracking a mobile robot is expressed in a way that its kinematic error is in the form of linear parameter variable with bounded disturbance. The purpose of the design is to stabilize the controller by solving the linear matrix inequality (LMI) conditions for error tracking model. The following stability conditions are then formulated in such a way that the upper bounds are considered as LMI auxiliary variables. Also with the help of more free matrices, it can reduce conservatism. The target tracking is first designed with the assumption that there is no obstacle in the environment, and then the obstacle avoidance mode is added to the tracer controller, which is done by modifying the optimal state vector definition. In both cases, the system stability check is also performed. Simulation is performed on several predetermined paths, indicating that this strategy is feasible.
first_indexed 2024-04-12T01:14:04Z
format Article
id doaj.art-2c648cfb21de4466b22f2fcd34e41c58
institution Directory Open Access Journal
issn 1319-1578
language English
last_indexed 2024-04-12T01:14:04Z
publishDate 2022-11-01
publisher Elsevier
record_format Article
series Journal of King Saud University: Computer and Information Sciences
spelling doaj.art-2c648cfb21de4466b22f2fcd34e41c582022-12-22T03:54:01ZengElsevierJournal of King Saud University: Computer and Information Sciences1319-15782022-11-01341096629676A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approachSibang Liu0Kuili Liu1Zhen Zhong2Jinghan Yi3Hamdulah Aliev4College of Physics and Telecommunication Engineering, ZhouKou Normal University, Zhoukou 466001, ChinaCollege of Physics and Telecommunication Engineering, ZhouKou Normal University, Zhoukou 466001, China; Corresponding author.Chengdu SIWI Power Electronic Technology Co., Ltd, Chengdu 610097, ChinaLibrary of ZhouKou Normal University, Zhoukou 466001, ChinaFaculty of Energy, Tajik Technical University, Dushanbe, Tajikistan; Department of ECE, University of Texas at Austin, TX, USAOne of the challenges facing robot tracking is the difficulty of controlling variety types of robots in known and unknown environments. This paper proposes a new strategy of path tracking for a non-holonomic mobile robot subject to kinematic disturbances using model prediction control and H2/H∞ control by Gain-scheduled control law. In this regard, the problem of tracking a mobile robot is expressed in a way that its kinematic error is in the form of linear parameter variable with bounded disturbance. The purpose of the design is to stabilize the controller by solving the linear matrix inequality (LMI) conditions for error tracking model. The following stability conditions are then formulated in such a way that the upper bounds are considered as LMI auxiliary variables. Also with the help of more free matrices, it can reduce conservatism. The target tracking is first designed with the assumption that there is no obstacle in the environment, and then the obstacle avoidance mode is added to the tracer controller, which is done by modifying the optimal state vector definition. In both cases, the system stability check is also performed. Simulation is performed on several predetermined paths, indicating that this strategy is feasible.http://www.sciencedirect.com/science/article/pii/S1319157821003347Delay systemTrajectory trackingConstrains MPCQuadratic programmingObstacle avoidanceHybrid controller
spellingShingle Sibang Liu
Kuili Liu
Zhen Zhong
Jinghan Yi
Hamdulah Aliev
A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
Journal of King Saud University: Computer and Information Sciences
Delay system
Trajectory tracking
Constrains MPC
Quadratic programming
Obstacle avoidance
Hybrid controller
title A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
title_full A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
title_fullStr A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
title_full_unstemmed A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
title_short A novel wheeled mobile robots control based on robust hybrid controller: Mixed H2/H∞ and predictive algorithm approach
title_sort novel wheeled mobile robots control based on robust hybrid controller mixed h2 h∞ and predictive algorithm approach
topic Delay system
Trajectory tracking
Constrains MPC
Quadratic programming
Obstacle avoidance
Hybrid controller
url http://www.sciencedirect.com/science/article/pii/S1319157821003347
work_keys_str_mv AT sibangliu anovelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT kuililiu anovelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT zhenzhong anovelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT jinghanyi anovelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT hamdulahaliev anovelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT sibangliu novelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT kuililiu novelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT zhenzhong novelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT jinghanyi novelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach
AT hamdulahaliev novelwheeledmobilerobotscontrolbasedonrobusthybridcontrollermixedh2handpredictivealgorithmapproach