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Parallel Control of distributed parameter systems

IEEE TRANSACTIONS ON CYBERNETICS 2018年第12期48卷 3291-3301页

作者： Song, Yuhua He, Xiuyu Liu, Zhijie He, Wei Sun, Changyin Wang, Fei-Yue Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China Univ Sci & Technol Beijing Key Lab Knowledge Automat Ind Proc Minist Educ Beijing 100083 Peoples R China Univ Sci & Technol Beijing Inst Artificial Intelligence Beijing 100083 Peoples R China Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Southeast Univ Sch Automat Nanjing 210096 Jiangsu Peoples R China Chinese Acad Sci Inst Automat Beijing 100190 Peoples R China

In this paper, we study the control problems of distributed parameter systems, and discuss the limitations of traditional control methods. In recent years, social factors have gradually become an essential parameter of system modeling. For complex distributed parameter systems, the accurate modeling becomes difficult. With the rapid development of the network and the technology of big data and cloud computing, based on the advanced control theory of large-scale computing, we introduce the idea of parallel control to the control of distributed parameter systems. Parallel control is a method to accomplish tasks through the interaction of virtual and actual. Its core is to model the complex distributed parameter system on artificial society or artificial system, then analyze and evaluate it by computational experiment, and finally control and manage the distributed parameter system by parallel execution. Data-driven control and computational control are used in this method, which is a control idea that adapts to the rapid development of society.

关键词： Artificial system data-driven distributed parameter system flexible structure parallel control

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Multi-variable fuzzy logic control for a class of distributed parameter systems

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JOURNAL OF PROCESS CONTROL 2013年第3期23卷 351-358页

作者： Ren, Yao-Qing Duan, Xiao-Gang Li, Han-Xiong Chen, C. L. Philip Cent S Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R China City Univ Hong Kong Dept Syst Engn & Engn Management Hong Kong Hong Kong Peoples R China Univ Macau Fac Sci & Technol Taipa Macau Peoples R China

A multi-variable fuzzy logic controller (FLC) is proposed to control a class of distributed parameter systems (DPSs). When a DPS is transformed into finite-dimensional ordinary differential equations (ODES) by using time/space separation, each ODE can be considered as a subsystem. According to design strategy of conventional FLC, one FLC should be designed for one subsystem. It will be very complex because there are many subsystems. In order to reduce design complexity, only a MF and a rule base are designed in the controller. For other subsystems or ODEs, their MFs can be designed equivalently by introducing scaling factors. Then, the proposed FLC has ability to control multi-variable processes. At last, the proposed FLC is applied to control a rod catalytic reaction process. The simulation results demonstrate the effectiveness of the proposed fuzzy control strategy. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Fuzzy logic controller Multi-variable distributed parameter system Time/space separation

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A DIGITAL PI-CONTROLLER FOR distributed parameter-systemS

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SIAM JOURNAL ON CONTROL AND OPTIMIZATION 1988年第6期26卷 1399-1414页

作者： KOBAYASHI, T Kyushu Inst of Technology Japan

In this paper a discrete-time multivariable tuning P1-controller ((proportional controller plus integral controller) is designed for a stable distributed parameter system with an unbounded input and output operator. First, the systems with discrete-time controls and observations are analyzed. Next, it is shown that the integral feedback matrix has the same form as that in the case of continuous-time controls, and it can be determined by steady-state information only. Moreover, it is shown that continuous-time set-point tracking is realized as the result of discrete-time set-point tracking. The theory is applied to the system governed by a second-order evolution equation with a first-order damping term. It is shown that the integral feedback matrix is independent of the damping operator. Last, the theory is applied to a heat equation and an Euler-Bernoulli beam equation.

关键词： 35B37 35L15 73K05 93C20 93C55 93D15 distributed parameter system flexible structure digital P1-controller unbounded control and observation

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Profile control in distributed parameter systems using lexicographic optimization based MPC

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JOURNAL OF PROCESS CONTROL 2009年第1期19卷 100-109页

作者： Padhiyar, Nitin Bhartiya, Sharad Indian Inst Technol Dept Chem Engn Bombay 400076 Powai India

Process equipment that exhibits significant spatial variation of system properties, such as temperature or concentration in a fixed bed reactor, are typically modeled as distributed parameter systems. While some properties of the final product exiting the equipment may depend oil the states concerning the endpoint, others may be a function of the history of processing within the equipment. In such instances, control of the spatial property profile may be beneficial. In this work, we explore the idea of profile control using extended MPC and outline the additional challenges that must be addressed in this context. In case that the target profile is unachievable, we present an MPC formulation that uses lexicographic optimization to prioritize the different sections of the profile. Simulation of a simple representative system namely a hypothetical plug flow reactor is used to demonstrate that the lexicographic optimization based M PC provides a systematic approach to profile control and spans between the endpoint control strategy and the whole profile control strategy. The benefits of lexicographic optimization based MPC were also demonstrated oil a large-scale distributed parameter system of industrial size, namely the continuous pulp digester. (C) 2008 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system Extended Kalman filter Model-based control Continuous pulp digester Lexicographic optimization

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DESIGN DERIVATIVES OF EIGENVALUES AND EIGENFUNCTIONS FOR SELF-ADJOINT distributed parameter-systemS

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AIAA JOURNAL 1986年第7期24卷 1169-1172页

作者： REISS, R Howard University Washington D.C.

In this paper, analytic expressions are obtained for the design derivatives of eigenvalues and eigenfunctions of self-adjoint linear distributed parameter systems. Explicit treatment of boundary conditions is avoided by casting the eigenvalue equation into integral form. Results are expressed in terms of the linear operators defining the eigenvalue problem, and are therefore quite general. Sufficiency conditions appropriate to structural optimization of eigenvalues are obtained. © 1986 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

关键词： distributed parameter system Green's Function Structural Optimization Lagrange Multipliers Structural Dynamics Elastic Structure Free Vibrations Astronautics

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EXTENDED DISSIPATIVITY-BASED SAMPLED-DATA CONTROLLER DESIGN FOR FUZZY distributed parameter systemS

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MATHEMATICAL FOUNDATIONS OF COMPUTING 2024年第4期8卷 540-562页

作者： Suresh, R. Saravanan, S. Dutta, Hemen Vadivel, R. Gunasekaran, Nallappan Sri Venkateswara Coll Engn Dept Math Sriperumbudur 602117 India Chennai Inst Technol Ctr Nonlinear Syst Chennai 600069 Tamilnadu India Gauhati Univ Dept Math Gauhati India Phuket Rajabhat Univ Fac Sci & Technol Dept Math Phuket 83000 Thailand Beibu Gulf Univ Eastern Michigan Joint Coll Engn Qinzhou 535011 Peoples R China

This paper presents an extended dissipativity-based sampled-data controller design for Fuzzy distributed parameter systems (DPSs). Then the proposed DPSs solved by integral inequality techniques to construct a Lyapunov-Krasovskii functional (LKF) that demonstrates the stability and stabilization of the dissipativity performance of DPSs. The fuzzy-based sampled-data control (FSDC) scheme is obtained by solving linear matrix inequalities (LMIs), ensuring that the closed-loop system is extended dissipativity. The FSDC can be adjusted to achieve various performance goals, such as L-2-L-infinity, H-infinity, passivity, and (Q, S, R) - gamma-dissipative performance for DPSs. The proposed method is verified through simulations using the MATLAB LMI control toolbox.

关键词： distributed parameter system sampled-data control linear matrix inequality T-S fuzzy model dissipativity

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Closed-loop P-type Iterative Learning Control of Uncertain Linear distributed parameter systems

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IEEE/CAA Journal of Automatica Sinica 2014年第3期1卷 267-273页

作者： Xisheng Dai Senping Tian Yunjian Peng Wenguang Luo the School of Electrical and Information Engineering Guangxi University of Science and Technology the School of Information and Electrical Engineering Shandong University of Science and Technology the School of Automation Science and Engineering South China University of Technology

An iterative learning control problem for a class of uncertain linear parabolic distributed parameter systems is discussed,which covers many processes such as heat and mass transfer,convection diffusion and *** condition of allowing system state initially to have error in the iterative process a closed-loop P-type iterative learning algorithm is presented,and the sufficient condition of tracking error convergence in L2 norm is ***,the convergence of the tracking error in L2 and W1,2 space is proved by using Gronwall-Bellman inequality and Sobolev *** the end,a numerical example is given to illustrate the effectiveness of the proposed method.

关键词： Algorithm design and analysis Closed loop systems Iterative methods Learning (artificial intelligence) Uncertainty Iterative learning control closed-loop P-type learning algorithm distributed parameter system Plant uncertain distributed parameter systems Algorithm design and analysis Iterative learning control follow error Uncertainty Closed loop systems iterative methods

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Stability robustness of linear normal distributed parameter systems

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systemS & CONTROL LETTERS 2000年第5期41卷 317-323页

作者： Lu, SH Fong, IK Natl Taiwan Univ Dept Elect Engn Taipei 10617 Taiwan

This paper considers the stability robustness analysis problem for linear distributed parameter systems containing known perturbation operators multiplied by uncertain parameters. The nominal system operators are assumed to be normal, but allowed to be unbounded. The perturbation operators are confined to some relative bounded set, but may be unbounded also. By using the Lyapunov stability criterion, simple bounds on uncertain parameters are derived to ensure the stability of the perturbed systems. Examples are provided to illustrate the usage of the theoretical results. (C) 2000 Elsevier Science B.V. All rights reserved.

关键词： distributed parameter system robust stability Lyapunov method

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CONTROL OF distributed parameter-systemS BY MOVING FORCE ACTUATORS

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 1991年第6期14卷 1200-1207页

作者： CHOURA, S JAYASURIYA, S TEXAS A&M UNIV SYST DEPT MECH ENGNCOLLEGE STNTX 77843

The control of vibrations in flexible structures by moving force actuators is considered. The elimination of a Predetermined set of vibratory modes by one or more moving force actuators is shown possible. Two such control strategies are proposed. The first strategy uses a finite number of distinct moving actuators to control an equal number of critical modes with negligible control spillover into the residual modes. The second uses only a single actuator to control a finite number of critical modes;and it is based on energy functions, where the spatial variation of the actuator has to be carefully chosen to guarantee stability of the closed-loop system. Both of these can employ closed-loop strategies for force control. In addition to feedback, the first strategy may also utilize an open-loop force control scheme, such as minimum energy control. Moving actuators need relatively smaller magnitudes of force for accomplishing performance guarantees that are achievable with fixed actuators having larger magnitudes of force.

关键词： distributed parameter system Actuators Flexible Structures Simply Supported Beams Proportional Damping Velocity Profiles Feedback Control Young's Modulus Boundary Value Problems Dirac Delta Function

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Data-Driven Quality Monitoring Techniques for distributed parameter systems With Application to Hot-Rolled Strip Laminar Cooling Process

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IEEE ACCESS 2018年 6卷 16646页

作者： Dong, Jie Wang, Qiang Wang, Mengyuan Peng, Kaixiang Univ Sci & Technol Beijing Sch Automat & Elect Engn Minist Educ Key Lab Knowledge Automat Ind Proc Beijing 100083 Peoples R China

distributed parameter systems (DPS) widely exist in the large-scale industrial production industry. Techniques developed for DPS can further demonstrate the complexity of the industrial process, such as the hot-rolled strip laminar cooling (HSLC) process. Due to the infinite dimensional of states variables and manipulated variables, it is a challenging work to model and monitor for DPS in practice. In this paper, a data-driven approach for process modeling and quality monitoring of DPS is obtained. A second order partial differential equation (PDE) is transformed into finite-dimensional model of ordinary differential equation (ODE) with finite element method (FEM) and Galerkin method. Then, this model is described by state space with time-space separation. To realize the proposed scheme by the data-driven approach, we use the industrial process data to estimate the parameters in the model and basic functions by recursive least squares method. Based on this model, a kernel representation of DPS for residual generation is obtained in the statistical framework. T-2 statistic is employed to evaluate the residual and the threshold is determined by the use of noncentral chi(2)-distribution. Finally, the effectiveness of the proposed scheme is demonstrated by conducting a simulation on the production process of HSLC.

关键词： Quality monitoring fault diagnosis data-driven distributed parameter system laminar cooling process

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