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A spatiotemporal fuzzy control approach for complex distributed parameter system with application to thermal processes

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JOURNAL OF PROCESS CONTROL 2023年第1期127卷

作者： Xu, Bowen Lu, Xinjiang Bai, Yunxu Cent South Univ Sch Mech & Elect Engn State Key Lab High Performance Complex Mfg Changsha 410012 Peoples R China

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.

关键词： distributed parameter system Fuzzy model Fuzzy control Spatiotemporal control

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Mobile observation for distributed parameter system with moving boundary over mobile sensor networks

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Journal of Control and Decision 2021年第2期8卷 124-134页

作者： Jianzhong Zhang Baotong Cui Key Laboratory of Advanced Process Control for Light Industry(Ministry of Education) Jiangnan UniversityWuxiPeople’s Republic of China School of Internet of Things Engineering Jiangnan UniversityWuxi 214122People’s Republic of China School of Mathematics and Statistics Taishan UniversityTaian 271000People’s Republic of China

This paper considers the state observation for a class of distributed parameter systems(DPSs)with moving boundaries modelled by parabolic partial differential equations(PDEs).The method of mobile observation is presented to improve the observation performance of the systems and to eliminate the influence of moving boundaries on system observation with the aids of mobile sensor networks(MSNs).The MSNs which can move throughout the time-dependent spatial domain are used to provide the spatially averaged observations of the *** using the abstract evolution equation theory of parabolic PDEs and the Lyapunov stability arguments,a centralised observer is designed and a mobile control scheme for each of the mobile sensors is presented while taking account of the dynamics of the MSNs.A numerical example is finally presented to illustrate the effectiveness and the advantages of the proposed approach.

关键词： distributed parameter system moving boundary abstract evolution equation state observation mobile sensor network

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State decoupled estimation in distributed parameter system based on step-response model

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MEASUREMENT 2025年 253卷

作者： Mao, Zhaohui Chen, Hong Wang, Guangjun Ji, Yalan Chongqing Univ Sch Energy & Power Engn 174 Shazheng St Chongqing 400044 Peoples R China Chongqing Univ Minist Educ Key Lab Low Grade Energy Utilizat Technol & Syst Chongqing 400044 Peoples R China

Real-time estimation of unknown states in distributed parameter systems (DPS) using partial measurable information is a fundamental task with significant practical demands. The existing theories of DPS state estimation inherently belong to coupled estimation methods of the state-space, which cannot achieve state decoupled estimation. The reason is that existing theories describe systems using state-space models, and leads to numerous difficulties when applying current state estimation methods to DPS state estimation. In this paper, a new state decoupled estimation method for DPS based on the step-response model is proposed. By constructing an optimal filtering model and a state response spatiotemporal correlation model, the method enables decoupled estimation of states at arbitrary points in the DPS state space. Applied to a two-dimensional heat conduction system, the approach achieves a maximum instantaneous average error of approximately 1 degrees C. Comparative experiments with the standard Kalman filter show that the root mean square error of the method is 0.18 degrees C when only one measurement point is required, compared with 0.77 degrees C when five measurement points are required for the standard Kalman filter. The method significantly reduces the dependence of the state estimation results on the number of measurement points. In addition, the state decoupled estimation method also has obvious advantages in terms of computation time when only a portion of the states in the state space of the DPS need to be estimated in real time.

关键词： distributed parameter system Step-response model State estimation Decouple Optimal filtering

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State estimation for a class of distributed parameter system with time-varying delay based on mobile agent networks

State estimation for a class of distributed parameter system...

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Chinese Automation Congress (CAC)

作者： Fu, Huansen Cui, Baotong Zhuang, Bo Zhang, Jianzhong Jiangnan Univ Sch IoT Engn Wuxi Jiangsu Peoples R China Taizhou Univ Sch Shipping & Mechatron Engn Taizhou Peoples R China Binzhou Univ Sch Informat Engn Binzhou Peoples R China Taishan Univ Sch Math & Stat Tai An Shandong Peoples R China

ISBN: (纸本)9781728176871

This work presents an estimation scheme based on a kind of distributed parameter system (DPS) with time-varying delay via moving agent networks. Initially, by utilizing the evolutionary equation theory and the operator semigroup method, this delayed DPS described by partial differential equation (PDE) is derived for evolution equations. Then, a centralized state estimator has been constructed with the purpose of approximating the ordinal system state under limited sensors measurement, and the estimation error system is constructed simultaneously. Furthermore, the control forces of mobile agents are devised by choosing an appropriate Lyapunov functional candidate, which make the estimation error system stabilize globally and asymptotically. Finally, numerical experiment simulation tests in Matlab are employed to account for the usefulness of the state estimation policy.

关键词： State estimation distributed parameter system time-varying delay mobile agent networks

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Missing Output Identification Model Based Recursive Least Squares Algorithm for a distributed parameter system

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INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND systemS 2018年第1期16卷 150-157页

作者： Chen, Jing Jiang, Bin Li, Juan Nanjing Univ Aeronaut & Astronaut Coll Automat Engn Nanjing 210016 Jiangsu Peoples R China Qingdao Agr Univ Coll Mech & Elect Engn Qingdao 266109 Peoples R China

This paper proposes a recursive least squares algorithm for a distributed parameter system with missing observations. By using the finite difference method, the distributed parameter system can be turned into a lumped parameter system. Then a missing output identification model based recursive least squares algorithm is derived to estimate the unknown parameters of the lumped parameter system. Furthermore, the parameters of the distributed parameter system can be computed by the estimated parameters of the lumped parameter system. The simulation results indicate that the proposed method is effective.

关键词： distributed parameter system finite difference method missing output identification model parameter estimation recursive least squares

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A spatial domain decomposition approach to distributed H _∞ observer design of a linear unstable parabolic distributed parameter system with spatially discrete sensors

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INTERNATIONAL JOURNAL OF CONTROL 2017年第12期90卷 2772-2785页

作者： Wang, Jun-Wei Liu, Ya-Qiang Hu, Yan-Yan Sun, Chang-Yin Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing Peoples R China

This paper discusses the design problem of distributed H-infinity Luenberger-type partial differential equation (PDE) observer for state estimation of a linear unstable parabolic distributed parameter system (DPS) with external disturbance and measurement disturbance. Both pointwise measurement in space and local piecewise uniform measurement in space are considered;that is, sensors are only active at some specified points or applied at part thereof of the spatial domain. The spatial domain is decomposed into multiple subdomains according to the location of the sensors such that only one sensor is located at each subdomain. By using Lyapunov technique, Wirtinger's inequality at each subdomain, and integration by parts, a Lyapunov-based design of Luenberger-type PDE observer is developed such that the resulting estimation error system is exponentially stable with an H-infinity performance constraint, and presented in terms of standard linear matrix inequalities (LMIs). For the case of local piecewise uniform measurement in space, the first mean value theorem for integrals is utilised in the observer design development. Moreover, the problem of optimal H-infinity observer design is also addressed in the sense of minimising the attenuation level. Numerical simulation results are presented to show the satisfactory performance of the proposed design method.

关键词： State estimation Luenberger-type observer spatially discrete sensors distributed parameter system linear matrix inequality (LMI)

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PLC Control of Casting Die Preheating Process as distributed parameter system 21

PLC Control of Casting Die Preheating Process as Distributed...

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21st International Conference on Process Control (PC)

作者： Bartalsky, Lukas Belavy, Cyril Bartko, Michal Hulko, Gabriel Kubis, Milan Slovak Univ Technol Bratislava Fac Mech Engn Inst Automat Measurement & Appl Informat Bratislava Slovakia

ISBN: (纸本)9781538640111

In the paper a problem of casting die preheating control is solved. Concept of the control is designed based on distributed parameters systems. The design of the control structures are created within simulation studies, afterwards are connected into co-simulation regime network to tune the control parameters and then applied to control of preheating using PLC.

关键词： preheating co-simulation distributed parameter system DPS Blockset control PLC

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Identification of distributed parameter system with Recurrent Trajectory via Deterministic Learning 36

Identification of Distributed Parameter System with Recurren...

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第36届中国控制会议

作者： Xunde Dong Cong Wang Wenjie Si College of Automation Science and Engineering South China University of Technology

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 system parameters 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.

关键词： distributed parameter system system identification Deterministic learning Recurrent trajectory

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Software sensor as distributed parameter system for the control of secondary cooling in the continuous casting of steel

Software sensor as distributed parameter system for the cont...

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17th IFAC Symposium on Control, Optimization and Automation in Mining, Mineral and Metal Processing (MMM)

作者： Hulko, G. Ondrejkovic, K. Bucek, P. Bartko, M. FME STU Bratislava Inst Automat Measurement & Appl Informat Nam Slobody 17 Bratislava 81231 Slovakia ZP VVC Sro Kolkaren 35 Podbrezova 97681 Slovakia

Sophisticated numerical models are created nowadays for the continuous casting of steel, partly thanks to the rapid development of information technology. These models are based on the numerical solutions of nonlinear partial differential equations describing the dynamics of modelled phenomena. Such distributed parameter numerical models used as "software sensors" offer the possibility to control the secondary cooling process. However, in current engineering practice the control synthesis is solved by lumped parameter systems approach. Tins paper shows how to solve the control synthesis problem based on distributed parameter system approach, using widely available software products for numerical modelling of continuous casting of steel combined with algorithms for control of lumped and distributed parameter systems. (C) 2016, IFAC (International Federation or Antomatie (Control) Hosting by Filsevier Ltd. All rights reserved.

关键词： software sensor continuous casting of steel distributed parameter system dynamics decomposition control design approximation problem constrained model predictive control

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Working Condition Real-Time Monitoring Model of Lithium Ion Batteries Based on distributed parameter system and Single Particle Model

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Chinese Journal of Chemical Physics 2016年第5期29卷 623-628,I0002页

作者：黄亮姚畅北京交通大学电子信息工程学院北京100044 国家自然科学基金委员会信息中心北京100085

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 distributed parameter 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.

关键词： Lithium ion battery distributed parameter system Single particle model Condition monitoring

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