In the process of modeling and solving large-scale complexsystems, issues with complex state structures and low computational efficiency are often *** partially observable discrete event systems, this paper proposes ...
详细信息
During the study and control of temperature distributions in moving and stationary axisymmetric elements of complexsystems, mathematical models of heating processes play an important role. Unlike natural measurements...
详细信息
The modeling and control of complex multi-rigid-body systems remain challenging due to the systems' pronounced coupling and nonlinearity. In this paper, we propose a novel extended hierarchical modeling method for...
详细信息
ISBN:
(纸本)9789819607709;9789819607716
The modeling and control of complex multi-rigid-body systems remain challenging due to the systems' pronounced coupling and nonlinearity. In this paper, we propose a novel extended hierarchical modeling method for complex multi-rigid body systems, obtain an analytical model of system dynamics, and introduce a constraint-following control method to address the challenges of system modeling and control. In this approach, constraints are categorized into two levels: structural constraints constitute the first level, and motion constraints form the second level. Within the second level constraints, arbitrary initial conditions can lead to trajectory divergence. Consequently, we propose the asymptotic convergence criterion to address this issue. Subsequently, the analytical dynamic equation and trajectory tracking control force for the mobile robot are derived simultaneously. Numerical simulations of the mobile robots are performed to demonstrate the efficacy and accuracy of this methodology.
This article delves into the issue of formation-containment control for multiple Euler-Lagrange systems with input saturation, where the leaders have unknown bounded control inputs. In this article, a distributed even...
详细信息
In chemistry, particularly in the context of chemical kinetics, reaction dynamics, or when modelingsystems involving complex reactions or transport phenomena, stiff equations arise frequently. These are systems of or...
详细信息
In chemistry, particularly in the context of chemical kinetics, reaction dynamics, or when modelingsystems involving complex reactions or transport phenomena, stiff equations arise frequently. These are systems of ordinary differential equations (ODEs) that exhibit very different timescales for various components of the solution, making them challenging to solve numerically. A stiff equation is one where there are some components of the solution that change very rapidly compared to others. These rapid changes can cause numerical instability when using standard solvers unless the time step is made extremely small. This research investigates applying the homotopy analysis method (HAM) and Haar wavelet transform (HWT) to resolve the complex, stiff equations encountered in chemical problems. The HAM approach involves constructing mth\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$m<^>\textrm{th}$$\end{document}-order deformation equations using an auxiliary function and a parameter. This iteration process collectively yields a semi-analytical solution. Similarly, the HWT is employed to transform the stiff differential equations into a system of algebraic equations that can be more efficiently solved. The study evaluates the effectiveness and accuracy of these HAM and HWT methods in addressing the high complexity and challenge of solving stiff chemical equations using traditional numerical techniques. The findings demonstrate that the proposed approaches offer a reliable and fast-converging solution. The performance of the HAM and HWT methods is illustrated through numerical examples, and the solutions are compared with Exact solutions and the Taylor wavelet method from the literature, with the efficiency represented using tables and figures.
While there are many numerical solution methods for different problem classes, identifying the most efficient approach for a specific problem with defined parameter values entails conducting numerous comparative exper...
详细信息
ISBN:
(纸本)9783031734168;9783031734175
While there are many numerical solution methods for different problem classes, identifying the most efficient approach for a specific problem with defined parameter values entails conducting numerous comparative experiments. Usually, end users face difficulties when undertaking such experiments, which entail understanding the domain of applicability of diverse numerical methods and involve conducting a thorough comparative analysis of the results, which is time-consuming. We carry out the analysis of techniques and algorithms for managing a computational process to solve difficult or complex optimization problems with the use of computer systems. This research puts forward two approaches to streamline the utilization of existing applied software packages on modern multi-processor and/or multicore computer systems for multivariate optimization problems. One of the approaches entails the user actively interacting with the optimization program package in a dialogue mode. In contrast, the other approach entails packet control through a dedicated control program operating in automatic mode. The manuscript provides the protocols and outcomes of computer-based experiments conducted for unconstrained optimization problems using the developed software package
The construction of generalized mathematical models is proposed that describe the dynamics of a controlled belt conveyor with a variable angle between the horizontal plane and the plane of the belt. The models under c...
详细信息
Ferrofluid microrobots have emerged as promising tools for minimally invasive medical procedures. Their unique properties to navigate complex fluids and reach otherwise inaccessible regions of the human body have enab...
详细信息
Ferrofluid microrobots have emerged as promising tools for minimally invasive medical procedures. Their unique properties to navigate complex fluids and reach otherwise inaccessible regions of the human body have enabled new applications in targeted drug delivery, tissue engineering, and diagnostics. This paper proposes a model-predictive controller for the external magnetic manipulation of ferrofluid microrobots in three dimensions (3D). The internal optimization routine of the controller determines appropriate changes in the applied electromagnetic field to minimize the deviation between the actual and desired trajectories of the microrobot. A linear system governing locomotion is derived and used as the equality constraints of the optimization problems associated with the feedback index. In addition to ferrofluid droplets, the controller presented in this work may be applied to other magnetically-pulled microrobots. Several experiments are performed to validate the controller and showcase its ability to adapt to changes in system parameters such as the desired tracking trajectory and the size, orientation, deformation, and velocity of the microrobot. The accuracy of the controller is analyzed for each experiment, and the average error is found to be within 0.25 mm for small velocities. An additional experiment is performed to demonstrate significant improvement over a PID controller that is optimally tuned using Bayesian optimization. The results presented in this paper suggest that the proposed control algorithm could enable new microrobotic capabilities in minimally invasive medical procedures, lab-on-a-chip applications, and microfluidics.
Modern complex chemical-technological systems as automation objects are distinguished by the presence of a large number of controlled and uncontrolled parameters, high productivity, technological modes intensity and o...
详细信息
暂无评论