This paper presents a conception of an exponential observer for a class of linear distributed-parameter systems (DPSs), in which the dynamics are partially unknown. The given distributed-parameter observer ensures asy...This paper presents a conception of an exponential observer for a class of linear distributed-parameter systems (DPSs), in which the dynamics are partially unknown. The given distributed-parameter observer ensures asymptotic state estimator with exponentially decay error, based on the theory of C0-semigroups in a Hilbert space. The theoretical observer developed is applied to a chemical tubular reactor, namely the isothermal Plug-Flow reactor basic dynamical model for which measurements are available at the reactor output only. The process is described by Partial differential equations with unknown initial states. For this application, performance issues are illustrated in a simulation study.展开更多
This article presents a new design of a distributed-parameter control system for human-machine perception interface,which is capable of precisely stimulating the neural systems with electromagnetic fields.By discretis...This article presents a new design of a distributed-parameter control system for human-machine perception interface,which is capable of precisely stimulating the neural systems with electromagnetic fields.By discretising the neural systems,a state-space representation of the electromagnetic stimulation is developed to facilitate the following design and analysis.A forward controller with multiple inputs and multiple outputs is consequently designed to estimate the excitation current.This novel approach enables the applications of the well-established control theory to analyse the system.The feasibility and accuracy of the control system are numerically illustrated and validated with the applications of Transcranial Magnetic Stimulation(TMS)and retinal stimulation.The results indicate that the newly designed control system can not only generate electromagnetic stimulation with better attenuation and focality than the most widely used Figure-8 coil,but also transmit the patterns extracted from images with electromagnetic stimulations to human retinas.展开更多
A case of ideal fluid flow in a moving ending rigid constant diameter circular pipeline is investigated. A model of the pipeline was established based on distributed-parameter theory. The comparisons on a quotient mod...A case of ideal fluid flow in a moving ending rigid constant diameter circular pipeline is investigated. A model of the pipeline was established based on distributed-parameter theory. The comparisons on a quotient module of output and input pressure of the moving ending model and neglected ending moving model are made on the frequency response. It is revealed that the moving ending of pipeline influences largely the quotient amplitude of output and input pressure, and the peak value of frequency resonance increases with the increase of pipeline’s length.展开更多
To solve the problems encountered in practical processes of magneto-optical sensing, the infinitesimal distributed-parameter model and finite-element accumulation of different dielectric properties of micromaterials w...To solve the problems encountered in practical processes of magneto-optical sensing, the infinitesimal distributed-parameter model and finite-element accumulation of different dielectric properties of micromaterials were used to describe the evolution of light polarization states, instead of the previously commonly used method of lumped-parameter simulation, thus essentially explaining the mechanism of sensing, magneto-optical effects, and related factors, and achieving multiphysics coupling using the COMSOL finite-element analysis method. Considering the cases of the Faraday effect without and with line birefringence, the magneto-optical effect and output characteristics of an infinitesimal magneto-optical sensor were simulated and studied. The results verified the effectiveness of the infinitesimal sensor model. Because the magnetic field, stress, and temperature changes alter the dielectric properties of magneto-optical materials, the finite-element accumulation method lays a good foundation for research on theoretical analysis and performance of magneto-optical sensors affected by factors such as the magnetic field, temperature, and stress.展开更多
文摘This paper presents a conception of an exponential observer for a class of linear distributed-parameter systems (DPSs), in which the dynamics are partially unknown. The given distributed-parameter observer ensures asymptotic state estimator with exponentially decay error, based on the theory of C0-semigroups in a Hilbert space. The theoretical observer developed is applied to a chemical tubular reactor, namely the isothermal Plug-Flow reactor basic dynamical model for which measurements are available at the reactor output only. The process is described by Partial differential equations with unknown initial states. For this application, performance issues are illustrated in a simulation study.
基金This work was supported by Faculty Research Grant (FRG) of Minnesota State University Mankato.
文摘This article presents a new design of a distributed-parameter control system for human-machine perception interface,which is capable of precisely stimulating the neural systems with electromagnetic fields.By discretising the neural systems,a state-space representation of the electromagnetic stimulation is developed to facilitate the following design and analysis.A forward controller with multiple inputs and multiple outputs is consequently designed to estimate the excitation current.This novel approach enables the applications of the well-established control theory to analyse the system.The feasibility and accuracy of the control system are numerically illustrated and validated with the applications of Transcranial Magnetic Stimulation(TMS)and retinal stimulation.The results indicate that the newly designed control system can not only generate electromagnetic stimulation with better attenuation and focality than the most widely used Figure-8 coil,but also transmit the patterns extracted from images with electromagnetic stimulations to human retinas.
文摘A case of ideal fluid flow in a moving ending rigid constant diameter circular pipeline is investigated. A model of the pipeline was established based on distributed-parameter theory. The comparisons on a quotient module of output and input pressure of the moving ending model and neglected ending moving model are made on the frequency response. It is revealed that the moving ending of pipeline influences largely the quotient amplitude of output and input pressure, and the peak value of frequency resonance increases with the increase of pipeline’s length.
基金supported by the National Natural Science Foundation of China(Grant No.51277066)
文摘To solve the problems encountered in practical processes of magneto-optical sensing, the infinitesimal distributed-parameter model and finite-element accumulation of different dielectric properties of micromaterials were used to describe the evolution of light polarization states, instead of the previously commonly used method of lumped-parameter simulation, thus essentially explaining the mechanism of sensing, magneto-optical effects, and related factors, and achieving multiphysics coupling using the COMSOL finite-element analysis method. Considering the cases of the Faraday effect without and with line birefringence, the magneto-optical effect and output characteristics of an infinitesimal magneto-optical sensor were simulated and studied. The results verified the effectiveness of the infinitesimal sensor model. Because the magnetic field, stress, and temperature changes alter the dielectric properties of magneto-optical materials, the finite-element accumulation method lays a good foundation for research on theoretical analysis and performance of magneto-optical sensors affected by factors such as the magnetic field, temperature, and stress.
