Deterministic chaos in pendulum systems with delay

Shvets, A. Yu.; Makaseyev, Alexander

doi:10.2478/amns.2019.1.00001

Cited by 53 publications

(19 citation statements)

References 1 publication

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“…One was the conventional ZMP trajectory and the other was the variable ZMP trajectory considering the environmental change, but all achieved stable walking. Figure 9(b), 3D simulation, shows that the CoM adjustment of the stabilization system achieves stable walking, which indicated that the walking pattern of biped robot was sensitive to the change of CoM trajectory [29][30][31][32]. Hence, predictive control can generate stable walking pattern by controlling the CoM motion, which is consistent with the real-time slight adjustment of CoG trajectory during human walking to adapt the change of road condition to achieve stable walking.…”

Section: Simulation Experiments and Analysissupporting

confidence: 55%

Stable walking of biped robot based on center of mass trajectory control

Jing

Zheng

2020

Open Physics

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The effect of center of mass (CoM) trajectory on stable walking of biped robot was studied in this study. The method of predictive control by controlling CoM trajectory to generate stable walking patterns was discussed, which simulated the principle of adjusting center of gravity in advance during human walking to adapt to the change of road conditions. As for uncertainty of robot modeling and the influence of environment, adding variable zero moment point for variable predictive control system can achieve self-adaptive adjustment of CoM trajectory to generate stable walking patterns. The simulation experiment results indicated that walking stability of biped robot was sensitive to the change of CoM trajectory. As long as CoM trajectory was adjusted well, stable walking of biped robot can be controlled even in the presence of disturbances. It is proved that the method of predictive control by controlling CoM motion to generate stable walking pattern is consistent with reality.

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Section: Simulation Experiments and Analysissupporting

confidence: 55%

Stable walking of biped robot based on center of mass trajectory control

Jing

Zheng

2020

Open Physics

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“…By reasoning, whether the target is contained in the image and the target location is determined. By using the aforementioned method, the target recognition results with high accuracy are obtained [31][32][33][34][35][36][37].…”

Section: Experimental Conclusionmentioning

confidence: 99%

Automatic target recognition method for multitemporal remote sensing image

Shu

Sun

2020

Open Physics

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AbstractThe traditional target recognition method for the remote sensing image is difficult to accurately identify the specified targets from the massive remote sensing image data. Based on the theory of multitemporal recognition, an automatic target recognition method for the remote sensing image is proposed in this article. The proposed recognition method includes four modules: automatic segmentation of multitemporal remote sensing image, automatic target extraction of multitemporal remote sensing image, automatic processing of multitemporal remote sensing image, and automatic recognition of multitemporal remote sensing image. The automatic segmentation of the image target is introduced. The effectiveness of the segmentation technology is verified through the kernel function bandwidth algorithm. Linear feature extraction is used to extract the segmented image. The image extraction processing is described, which includes image profile analysis, image preprocessing, image feature analysis, the region of interest localization, image enhancement processing, recognition processing, and result output. According to the theory of pattern recognition, three different feature recognition images are given, which are partial separable recognition, weakly separable recognition, and fully separable recognition, and then, a new image recognition method is designed. To verify the practical application effect of the recognition method, the proposed method is compared with the traditional recognition method. Experimental results show that the proposed method can accurately identify the specified objects from the massive remote sensing image data and has a high potential for development. This article has an important guiding significance for image recognition.

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“…e singular study along with functional differential equations (FDEs) is considered very significant for the researcher's community, and the implementations of the FDEs have been noticed in the sixth decade of the nineteen century. e FDEs have a huge variety of applications in many fields; to mention few of them are, models of population growth [1], electrodynamics [2], infection models of HIV-1 [3], models of tumor growth [4], models based on chemical kinetics [5], B-virus infection hepatitis models [6], models of the gene regulations [7], and models of viral infections [8], and many more [9][10][11][12][13][14]. e singular study based on the differential models is very interesting, complicated, experimental, and challenging for the researchers due to the singularity appearance at origin.…”

Section: Introductionmentioning

confidence: 99%

On a New Model Based on Third-Order Nonlinear Multisingular Functional Differential Equations

Sabir

Günerhan

Guirao

2020

Mathematical Problems in Engineering

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In this study, a novel mathematical model based on third-order nonlinear multisingular functional differential equations (MS-FDEs) is presented. e designed model is solved by using a well-known differential transformation (DT) scheme that is a very credible tool for solving the nonlinear third-order nonlinear MS-FDEs. In order to check the exactness, efficacy, and convergence of the scheme, some numerical examples are presented based on nonlinear third-order MS-FDEs and numerically solved by using DT scheme. e scheme of differential transformation allows us to find a complete solution and a closed approximate solution of the differential equation. e distinctive advantage of the computational technique is to deal with the complex and monotonous physical problems that are obtained in various branches of engineering and natural sciences. Moreover, a comparison of the obtained numerical outcomes from the exact solutions shows the correctness, accurateness, and exactness of the designed model as well as the presented scheme.

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Deterministic chaos in pendulum systems with delay

Cited by 53 publications

References 1 publication

Stable walking of biped robot based on center of mass trajectory control

Stable walking of biped robot based on center of mass trajectory control

Automatic target recognition method for multitemporal remote sensing image

On a New Model Based on Third-Order Nonlinear Multisingular Functional Differential Equations

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