This paper deals with the modelling and optimisation of a so-called glass feeder. A feeder is a kind of a channel connecting in this case the smelting furnace and the forming device of container glass facilities. For ...
详细信息
ISBN:
(纸本)9784907764289
This paper deals with the modelling and optimisation of a so-called glass feeder. A feeder is a kind of a channel connecting in this case the smelting furnace and the forming device of container glass facilities. For conditioning it is possible to influence the glass velocity by changing the discharging at the end and the temperature by gas burners along the feeder. This process can be described as a distributed parameter system and modelled by a partial differential equation, the corresponding initial and boundary conditions. Special experiments at a real production lead to a simplified solution in the time domain and thus to an easy parameter estimation. Finally the objective is an energy-optimal operation for a certain product (steady state) and a time-optimal transient behaviour between two products.
An iterative algorithm based on orthogonal function of parameter identification for distributed parameter system is proposed in this paper, which includes the initial condition and boundary condition to improve identi...
详细信息
ISBN:
(纸本)9780769535838
An iterative algorithm based on orthogonal function of parameter identification for distributed parameter system is proposed in this paper, which includes the initial condition and boundary condition to improve identification precision and keep the spatial distributed characteristic. During iterative process, a new uniform method based on block pulse function (BPF) is used to deriving the integral operational matrix, which is a kind of orthogonal function transfer used to transfer the two order partial differential equation to algebra equation. The parameter identification method is simple and easy to compute. The simulation result indicates that this method can meet the demand on real-time and precision of control system.
In the paper, a novel method for identification of distributed parameter system（DPS） with recurrent trajectory via deterministic learning is proposed. The system dynamics rather than the systemparameters or system ...
详细信息
ISBN:
(纸本)9781538629185
In the paper, a novel method for identification of distributed parameter system（DPS） with recurrent trajectory via deterministic learning is proposed. The system dynamics rather than the systemparameters or system structure is identified,which is completely different from the existing literature. The DPS, which is often described by partial differential equation（PDE）, is first transformed into a set of ordinary differential equations（ODEs） by using a special case of finite difference method,method of lines. Then, the system dynamics at each discrete node is identified by using deterministic learning. Without loss of generality, the DPS dynamics at any spatial point in the spatial domain Ω can also be accurately identified by using the proposed method. It will be more appropriate for DPS identification in many physical systems whose both structure and parameters are unknown. Simulation results have shown the feasibility and efficient of the proposed method.
Lithium ion batteries are complicated distributed parameter systems that can be described preferably by partial differential equations and a field theory. To reduce the solution difficulty and the calculation amount, ...
详细信息
Lithium ion batteries are complicated distributed parameter systems that can be described preferably by partial differential equations and a field theory. To reduce the solution difficulty and the calculation amount, if a distributed parameter system is described by ordinary differential equations （ODE） during the analysis and the design of distributed parameter system, the reliability of the system description will be reduced, and the systemic errors will be introduced. Studies on working condition real-time monitoring can improve the security because the rechargeable LIBs are widely used in many electronic systems and electromechanical equipment. Single particle model （SPM） is the simplification of LIB under some approximations, and can estimate the working parameters of a LIB at the faster simulation speed. A LIB modelling algorithm based on PDEs and SPM is proposed to monitor the working condition of LIBs in real time. Although the lithium ion concentration is an unmeasurable distributedparameter in the anode of LIB, the working condition monitoring model can track the real time lithium ion concentration in the anode of LIB, and calculate the residual which is the difference between the ideal data and the measured data. A fault alarm can be triggered when the residual is beyond the preset threshold. A simulation example verifies that the effectiveness and the accuracy of the working condition real-time monitoring model of LIB based on PDEs and SPM.
The variable structure control problem of a class of stochastic distributed parameter system with uncertainty is discussed. Variable structure dynamic equation is established by employing nonlinear transformation. The...
详细信息
ISBN:
(纸本)0780386531
The variable structure control problem of a class of stochastic distributed parameter system with uncertainty is discussed. Variable structure dynamic equation is established by employing nonlinear transformation. The stability character has been analyzed. Based on previous conclusion, the variable structure regulator is designed for the system.
The control of distributed parameter system (DPS) is of significant importance since many chemical industry processes exhibit spatial variation. In this work, output feedback control is employed to control DPS. Contro...
详细信息
The control of distributed parameter system (DPS) is of significant importance since many chemical industry processes exhibit spatial variation. In this work, output feedback control is employed to control DPS. Controller design for DPS is a challenge due to the infinite dimensional property of DPS. This issue is circumvented by constructing reduced order models (ROMs). The ROM is generated by Galerkin method, which projects the system into lower dimension space using basis functions. Discrete adaptive proper orthogonal decomposition (DAPOD) is proposed to update the basis functions. A methodology is developed in which DAPOD is coupled with discrete empirical interpolation method (DEIM) to reduce computational burden. We illustrate the performance of this methodology in a diffusion reaction process in which a first order reaction takes place along a rod. The second case is a tubular reactor with recycle in which the objective is to eliminate hot spot. Compared with adaptive proper orthogonal decomposition (APOD), DAPOD provides a more accurate estimation of eigenvalues of covariance matrix and addresses the drawback of modified APOD that new data keep being eliminated.
A search method of optimal allocation of sensors is proposed for state estimation of a linear distributed parameter system. It was applied to a one-dimensional heat conduction process in order to test the state estima...
详细信息
A search method of optimal allocation of sensors is proposed for state estimation of a linear distributed parameter system. It was applied to a one-dimensional heat conduction process in order to test the state estimation performance. The results show that this method gives an accurate optimal allocation of sensors. It was also found that optimal-sensor location depends not only on the system dynamics but also on both the initial and steady states of the state variable. It was also suggested that increase in number of sensors would not always lead to improvement of estimator performance.
Many industrial processes belong to distributed parameter systems (DPSs) with unknown spatiotem-poral dynamics and complex boundary conditions. However, attentions to both temporal and spatial dynamics in the control ...
详细信息
Many industrial processes belong to distributed parameter systems (DPSs) with unknown spatiotem-poral dynamics and complex boundary conditions. However, attentions to both temporal and spatial dynamics in the control law are less paid in the existing control methods, which often makes them challenging to achieve accurate control. Here, a spatiotemporal fuzzy control approach with consideration of both temporal and spatial dynamics is proposed for unknown and complex DPSs. First, a spatiotemporal fuzzy model is developed to reconstruct dynamics of nonlinear DPS. Since it constructs a two-layer fuzzy rules (i.e., temporal fuzzy rule and spatial fuzzy rule) to consider both the nonlinear dynamics on time and the nonlinear energy transfer on space, it can effectively achieve the model of DPSs. On this basis, a spatiotemporal fuzzy controller is developed according to the developed two-layer fuzzy rules, which means that this derived control law considers both temporal and spatial dynamics. Then, a two-step solution method is designed for the spatiotemporal control law. Stability conditions of the control system are rigorously deduced by transforming the solving process to a series of linear matrix inequalities (LMIs). The stability and effect of the proposed spatiotemporal control strategy are demonstrated by mathematical proof and case studies. Comparison results demonstrate that the proposed method has better control performance (relative errors and mean absolute percentage errors are bounded in 4%). (c) 2023 Elsevier Ltd. All rights reserved.
Recently, chemical process operations are becoming more precise, making process control more difficult by conventional dynamics and control theories alone. The zone melting process considered in this work is a typical...
详细信息
Recently, chemical process operations are becoming more precise, making process control more difficult by conventional dynamics and control theories alone. The zone melting process considered in this work is a typical example of advanced chemical processes and requires highly precise operations. A precise temperature profile must be achieved and maintained against strong disturbances due to the movement of a sample tube or heaters and to interactions between heaters. To overcome this difficult problem, a new zone melting process is proposed in this paper. Without movement of either sample tube or heaters, realization of, the desired time-varying temperature profile is attempted by manipulation of fixed heaters. The process dynamics are treated as a distributed-parametersystem. Applying distributedparameter control to the zone melting process in a simulation, stimulation verified that the process could be realized. Moreover, experimental results using an anthracene zone melting apparatus also showed good control performance.
暂无评论