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
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.
