Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot

Nwachioma, Christian; Pérez-Cruz, J. Humberto

doi:10.1016/j.chaos.2021.110684

Cited by 23 publications

(17 citation statements)

References 55 publications

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“…and a 8 � − 0.25. We notice that the model has the same structure as the chaotic system proposed by Nwachioma and Pérez-Cruz [27]. Nwachioma and Pérez-Cruz showed that system (1) can be synchronized.…”

Section: Model Formulationmentioning

confidence: 57%

“…We find that the interactions between producers, retailers (distributors), and consumers can lead to chaos. We found that this supply chain system has the same structure as the chaotic system proposed by Nwachioma-Pérez Cruz [27]. We also consider the chaos synchronization of the model.…”

Section: Introductionmentioning

confidence: 75%

“…is paper established a mathematical model to study a supply chain with a three-stage structure. is model has the same structure as the chaotic system proposed by Nwachioma and Pérez-Cruz [27]. We studied the chaotic behavior of the system using numerical simulations.…”

Section: Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Synchronization of a Supply Chain Model with Four Chaotic Attractors

Zheng

Zhang

et al. 2022

Discrete Dynamics in Nature and Society

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In this article, we construct a three-stage supply chain model using a system of differential equations to reveal the interplay among producers, distributors, and end customers. On the one hand, information about the products and production is exchanged between each stage in the supply chain system. Such information affects the behaviors of each stage. On the other hand, the transport of products between the stages of the supply chain affects the behavior of the system. Our findings are summarized as follows: First, we find that the supply chain model is a system with four chaotic attractors. Second, we explore the synchronization of such a chaotic system. Third, according to the characteristics of the chaotic system, we design a variety of simple control laws to realize the synchronization of two chaotic systems with the same structure. These control laws for the chaotic system are proved to realize local asymptotic synchronization or global exponential synchronization. Numerical simulations are conducted to confirm that the designed controls work well.

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Section: Model Formulationmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 75%

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Synchronization of a Supply Chain Model with Four Chaotic Attractors

Zheng

Zhang

et al. 2022

Discrete Dynamics in Nature and Society

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“…That means the mobile robot may not have the ability to reach some exact position and angle in certain time, however, the robots can reach the target in another motion or in some limited times. Several controllers were proposed for mobile robots with nonholonomic constraints, where the two main approaches to controlling mobile robots are posture stabilization and trajectory tracking (Nwachioma & Pérez-Cruz, 2021).…”

Section: Introductionmentioning

confidence: 99%

The Feasibility of Trajectory Controller by SS Equation of an Error Model in WMR

Qev

Meshach

2022

IJEC

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There has been an increasing amount of research on WMRs. The WMRs have lots of advantages: their mechanical system is usually simple; the whole movement mostly contains two dependent motors; and their motions in two-dimensional space are quite adaptable. At the same time, the WMRs have better power efficiency. WMRs have been studied from many points of view, such as modelling control, obstacle avoidance, localization, tip-over stability, and so on. This paper discusses the control algorithm. WMRs have nonholonomic constraints. That is, the mobile robot may not be able to reach a specific position and angle in a specific time; however, the robot can reach the target in a different motion or within a limited time. In this paper, an error model based on the WMR is introduced. The model explains the error between the actual position and the ideal or target position in the continuous motion of WMRs. The error model will be transformed into a state-space equation in order to demonstrate that the algorithm that controls the WMR`s movement is controllable. By splitting the inputs into and , the whole equation is transformed into a zero-input state-space system. Then, the errors can be minimized with the optimization of the feedback. The results show that by optimizing the time-varying feedback matrix, the error is asymptotically stable and close to zero. Therefore, by adding this control law to the controller, an approach to making mobile robots follow the planned trajectory is obtained.

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“…Machine vision is the basis for mobile robots to achieve the above steps. This paper will mainly simulate and explain the application of the above vision technology (Nwachioma & Pérez-Cruz, 2021).…”

Section: Introductionmentioning

confidence: 99%

A Mixed Fast-RRT-A To Solve the Problem of Generating Nodes near Obstacles for Optimal Paths

Suwoyo

Hidayat

Abdurohman

et al. 2022

IJEC

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This paper will focus on the application of machine vision in mobile robots and take moving to the appropriate position and grasping the designated target as the task. This paper will describe and simulate the vision technology that mobile robots need to apply in the task process. This paper mainly uses the camera as the sensor. The difficulties of vision technology are mainly divided into three parts: scene depth information acquisition, positioning and mapping, and image processing. In order to obtain the depth information of the scene, this paper mainly introduces the depth information acquisition methods of monocular camera and binocular camera. In the aspect of localization and mapping, this paper mainly introduces the simulation of visual odometer to understand the basic process of mobile robot obtaining navigation map and its own route. Then, the gray gradient 2D maximum entropy algorithm is introduced to segment the scene and target, and extract features to judge the required target. Compared with other segmentation algorithms, the gray gradient 2D maximum entropy algorithm has higher segmentation accuracy, but the operation time is longer. This paper has simply optimized its operation efficiency. Finally, this paper describes the positioning method of grasping the object with a two degree of freedom manipulator using the knowledge of inverse kinematics. Because of the epidemic situation, schools cannot obtain experimental equipment. This paper mainly demonstrates the effectiveness of the algorithm through simulation.

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Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot

Cited by 23 publications

References 55 publications

Synchronization of a Supply Chain Model with Four Chaotic Attractors

Synchronization of a Supply Chain Model with Four Chaotic Attractors

The Feasibility of Trajectory Controller by SS Equation of an Error Model in WMR

A Mixed Fast-RRT-A To Solve the Problem of Generating Nodes near Obstacles for Optimal Paths

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Analysis of a new chaotic system, electronic realization and use in navigation of differential drive mobile robot

Cited by 23 publications

References 55 publications

Synchronization of a Supply Chain Model with Four Chaotic Attractors

Synchronization of a Supply Chain Model with Four Chaotic Attractors

The Feasibility of Trajectory Controller by SS Equation of an Error Model in WMR

A Mixed Fast-RRT*-A* To Solve the Problem of Generating Nodes near Obstacles for Optimal Paths

Contact Info

Product

Resources

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A Mixed Fast-RRT-A To Solve the Problem of Generating Nodes near Obstacles for Optimal Paths