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...
Main Authors: | , , , , |
---|---|
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 |