Article
Engineering, Mechanical
Mohammad Mehdi Kakaei, Hassan Salarieh, Saeed Sohrabpour
Summary: In this paper, a solution for online regulating the walking gait speed of a bipedal robot was proposed based on stabilizing a closed orbit in the constraint manifold space. A hierarchical controller was designed to stabilize the constraints and adaptively deform the manifold for achieving the desired gait speed. The control method showed good performance in regulating the robot gait speed, maintaining stability and resisting disturbances.
NONLINEAR DYNAMICS
(2023)
Article
Chemistry, Analytical
Dong Eui Chang, Matthew Perlmutter, Joris Vankerschaver
Summary: The feedback integrators method, improved through the Dirac formula, is used to integrate equations of motion for mechanical systems with holonomic constraints. It produces numerical trajectories that stay within the constraint set and preserve the values of conserved quantities like energy. The method's excellent performance is demonstrated by implementing it on the spherical pendulum system and comparing it with other methods.
Article
Mathematics, Applied
Rahul, Nihar Kumar Mahato, Sumati Kumari Panda, Manar A. Alqudah, Thabet Abdeljawad
Summary: In this paper, an extension and generalization of Darbo's fixed point theorem in the context of measure of noncompactness is proposed and proved. The extended theorem is then used to investigate the existence of solutions to mixed-type fractional integral equations. A suitable example is included to strengthen the arguments presented in the article.
Article
Mathematics, Applied
Majid K. Neamah, Alawiah Ibrahim
Summary: By applying the generalized proportional fractional integral, this paper establishes inequalities for convex functions and obtains new results by exploring the relationship between the proportional fractional integral and the Riemann-Liouville fractional integral. Additionally, special cases of the reported results are provided, offering generalizations for current literature by adjusting parameter values.
Article
Energy & Fuels
Tehzeeb-ul Hassan, Khalid Mehmood Cheema, Kashif Mehmood, Muhammad Faizan Tahir, Ahmad H. Milyani, Muhammad Akhtar
Summary: This research utilizes a hybrid technology to achieve zero-current soft-switching and reduce voltage stresses, improving the effect by implementing an energy recovery circuit and proposing a closed-loop PID controller and CCC, RCCC techniques for power transmission and charging processes.
Article
Engineering, Mechanical
Kwang-joon Kim
Summary: This paper revisits the principles of dynamic virtual work and virtual power in order to deal with mechanical systems with non-holonomic constraints. The purpose is to discuss the differences between the two principles and formulate various forms of dynamic equations. Three case studies are presented to illustrate the treatment of nonlinear non-holonomic constraints and its smoothness.
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY
(2022)
Article
Automation & Control Systems
Yuxiang Hu, Xuewu Dai, Dongliang Cui, Zhian Jia, Qiang Liu, Ping Zhou
Summary: This article proposes a generalized PI observer with approximate disturbance decoupling (ADD-GPIO) for detecting incipient actuator faults of a system subject to periodic input disturbances. The proposed observer achieves robustness to disturbances and sensitivity to faults through dynamic configuration of the disturbance transmission zeros and pole optimization, respectively. The optimal design of the ADD-GPIO is then modeled as a mixed-integer optimization problem, and the Lagrangian relaxation is adopted to find the near-optimal parameters of the ADD-GPIO at lower computation costs. Simulation and lab experiments of a two-wheeled self-balancing robot validate the improved performance of the proposed method.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING
(2023)
Article
Mathematics, Applied
Shuang-Shuang Zhou, Saima Rashid, Saima Parveen, Ahmet Ocak Akdemir, Zakia Hammouch
Summary: This work establishes a relationship between inequalities using newly proposed fractional operators, suitable for fractional differential equations and statistical theory. It also compares the proposed technique with existing results.
Article
Mathematics, Interdisciplinary Applications
Jessada Tariboon, Ayub Samadi, Sotiris K. Ntouyas
Summary: In this paper, the existence and uniqueness of solutions for boundary value problems for Hilfer generalized proportional fractional differential equations with multi-point boundary conditions are discussed. The uniqueness result is proved by using Banach's fixed point theorem and the existence results are established via Krasnosel'skii's fixed point theorem and Leray-Schauder nonlinear alternative. An existence result in the Banach space case is established based on Monch's fixed point theorem and the technique of the measure of noncompactness. Examples are constructed to illustrate the application of the main results. It is emphasized that this paper initiates the study of Hilfer generalized proportional fractional boundary value problems of order in (1, 2].
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics
Weerawat Sudsutad, Nantapat Jarasthitikulchai, Chatthai Thaiprayoon, Jutarat Kongson, Jehad Alzabut
Summary: This study investigates novel estimations involving the expectation, variance, and moment functions of continuous random variables using a generalized proportional fractional integral operator, and presents interesting results of the proportional fractional expectation, variance, and moment functions.
Article
Mathematics, Applied
Fareeha Sami Khan, M. Khalid
Summary: This paper introduces a new integral-type transformation, the Fareeha transform, which is a generalization of Laplace and Fourier transform. The efficacy and simplicity of the Fareeha transform are successfully demonstrated through its application on ordinary differential equations. Furthermore, the potential applications of the Fareeha transform in control theory, electric circuits, and data compression are discussed in detail.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2023)
Article
Materials Science, Multidisciplinary
G. Gordillo, J. C. Pena
Summary: This paper focuses on the development and evaluation of an automated system for depositing ZnO thin films suitable for use in solar cells. By improving the design of the PARE system and optimizing the preparation parameters, the thickness homogeneity of the ZnO films was significantly improved, and their applicability in solar cells was confirmed.
JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
(2022)
Article
Mathematics, Interdisciplinary Applications
Erhan Set, Artion Kashuri, Ilker Mumcu
Summary: This paper presents some new Chebyshev type inequalities by utilizing generalized proportional Hadamard fractional integrals and the Polya-Szego inequality. The authors also establish interesting applications of the main results.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Automation & Control Systems
Jian Feng, Bingkuan Yin
Summary: This paper presents an improved Generalized Proportional Integral Observer (IGPIO) to estimate multi-uncertainties and derivatives, and derives bounded stability for the IGPIO and closed loop system using the singular perturbation approach and Lyapunov theory. The simulations verify the effectiveness of the proposed method.
Article
Mathematics, Applied
Vaijanath L. Chinchane, Asha B. Nale, Satish K. Panchal, Christophe Chesneau, Amol D. Khandagale
Summary: This paper uses the generalized proportional Hadamard fractional integral operator to establish new fractional integral inequalities for extended Chebyshev functionals. Additionally, it investigates fractional integral inequalities for positive continuous functions. The theoretical findings of this study have the potential to solve practical problems in mathematical physics, statistics, and approximation theory.
Article
Automation & Control Systems
Ran Jiao, Wenjie Liu, Ramy Rashad, Jianfeng Li, Mingjie Dong, Stefano Stramigioli
Summary: A novel end-effector bilateral rehabilitation robotic system (EBReRS) is developed for upper limb rehabilitation of patients with hemiplegia, providing simulations of multiple bimanual coordinated training modes, showing potential for application in home rehabilitation.
Article
Automation & Control Systems
Qiaosheng Pan, Yifang Zhang, Xiaozhu Chen, Quan Wang, Qiangxian Huang
Summary: A resonant piezoelectric rotary motor using parallel moving gears mechanism has been proposed and tested, showing high power output and efficiency.