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IEEE Annual Conference on Decision and Control

作者： Michael A. Demetriou Worcester Polytechnic Institute Dept of Mechanical Engineering Worcester MA 01609 USA

ISBN: (纸本)9781479978878

This work is concerned with the optimization aspects of networked distributed parameter systems. It is assumed that the information exchange between the networked systems, each of which is governed by an evolution equation in an abstract space, is a priori given and the design objective is to choose the leader and the synchronization controllers so that all the followers track the leader in an appropriate norm, and that all networked system agree with each other. The optimization problem is formulated as a minimization problem of a quadratic index penalizing the distance from synchronization and the tracking errors. The optimal value of the quadratic index, as it is parameterized by the synchronization gains, is expressed in terms of the solution to an associated operator Lyapunov equation. Adding another level of optimization, one can optimally select the leader and the associated optimal synchronization gains. Such a leader selection reduces to zeroing a row of an associated gain matrix for the aggregate system. Numerical studies of four networked parabolic PDEs are presented to provide additional insight on the effects of optimal leader selection and optimal gain selection on the synchronization controller performance and the collective behavior of the networked PDE systems.

关键词： Synchronization Aggregates Optimization Mathematical model distributed parameter systems Indexes Topology

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Geometric output tracking of nonlinear distributed parameter systems via adaptive model reduction

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CHEMICAL ENGINEERING SCIENCE 2014年 116卷 418-427页

作者： Pourkargar, Davood Babaei Armaou, Antonios Penn State Univ Dept Chem Engn University Pk PA 16802 USA

We focus on the output tracking problem of distributed parameter systems (DPSs) which can be described by a set of nonlinear dissipative partial differential equations (PDEs). The infinite-dimensional modal representation of such systems in appropriate subspaces can be decomposed to finite-dimensional slow and probably unstable, and infinite-dimensional fast and stable subsystems. Taking advantage of this decomposition, adaptive model reduction techniques and specifically adaptive proper orthogonal decomposition (APOD) can be used for the recursive construction of locally accurate low dimensional reduced order models (ROMs). The proposed geometric APOD-based control structure is the combination of a nonlinear Luenberger-like geometric dynamic observer and a globally linearizing controller (GLC) designed for tracking the desired output. The proposed geometric control approach is successfully illustrated on the output tracking of target thermal dynamics for a catalytic reactor. Specifically, the geometric output tracking strategy is used to reduce the hot spot temperature and manage the thermal energy distribution through reactor length during process evolution with limited number of actuators and sensors. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Output tracking Geometric control distributed parameter systems Process control Geometric dynamic observer Adaptive model reduction

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Active disturbance rejection controller design for distributed parameter systems

Active disturbance rejection controller design for distribut...

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Chinese Automation Congress (CAC)

作者： Jing Xiao Dazi Li Jinglin Zhou College of Information Science and Technology Beijing University of Chemical Technology Beijing China

A control problem of dynamic processes described by partial differential equations (PDE's) is proposed and studied in this paper. They are linear distributed parameter models. The inputs of the models discussed are position-independent. As is known to all, distributed parameter systems always demand high tracking precision and good stability. However, it is difficult for classical approaches to achieve a high performance in disturbance rejection. Active disturbance rejection controller (ADRC) has great ability of resisting disturbance and could meet the demand of fast-track. In order to ensure the system output converging to the reference value, ADRC controller is designed. Extended state observer (ESO) is a key part of ADRC and a reasonable designed ESO can improve the performance of ADRC. In this study, the Gaussian approximation is used to design a higher order ESO to eliminate the model uncertainty and total disturbance. Simulation results indicate that ADRC controller is superior to traditional PI controller both in terms of set-point tracking and disturbance rejection.

关键词： distributed parameter systems Process control Mathematical model Heating Uncertainty

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Optimal switching policy for performance enhancement of distributed parameter systems based on event-driven control

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Chinese Physics B 2014年第7期23卷 211-217页

作者：穆文英崔宝同楼旭阳李纹 Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education) Jiangnan University

This paper aims to improve the performance of a class of distributed parameter systems for the optimal switching of actuators and controllers based on event-driven control. It is assumed that in the available multiple actuators, only one actuator can receive the control signal and be activated over an unfixed time interval, and the other actuators keep dormant. After incorporating a state observer into the event generator, the event-driven control loop and the minimum inter-event time are ultimately bounded. Based on the event-driven state feedback control, the time intervals of unfixed length can be obtained. The optimal switching policy is based on finite horizon linear quadratic optimal control at the beginning of each time subinterval. A simulation example demonstrate the effectiveness of the proposed policy.

关键词： distributed parameter systems optimal switching policy event-driven

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distributed proportional plus second-order spatial derivative control for distributed parameter systems subject to spatiotemporal uncertainties

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NONLINEAR DYNAMICS 2014年第4期76卷 2041-2058页

作者： Wang, Jun-Wei Li, Han-Xiong Wu, Huai-Ning Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing 100083 Peoples R China City Univ Hong Kong Dept Syst Engn & Engn Management Kowloon Hong Kong Peoples R China Cent South Univ State Key Lab High Performance Complex Mfg Changsha Hunan Peoples R China Beijing Univ Aeronaut & Astronaut Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beihang Univ Beijing 100191 Peoples R China

In this paper, a robust distributed control design based on proportional plus second-order spatial derivative (P-sD) is proposed for exponential stabilization and minimization of spatial variation of a class of distributed parameter systems (DPSs) with spatiotemporal uncertainties, whose model is represented by parabolic partial differential equations with spatially varying coefficients. Based on the Lyapunov's direct method, a robust distributed P-sD controller is developed to not only exponentially stabilize the DPS for all admissible spatiotemporal uncertainties but also minimize the spatial variation of the process. The outcome of the robust distributed P-sD control problem is formulated as a spatial differential bilinear matrix inequality (SDBMI) problem. A local optimization algorithm that the SDBMI is treated as a double spatial differential linear matrix inequality (SDLMI) is presented to solve this SDBMI problem. Furthermore, the SDLMI optimization problem can be approximately solved via the finite difference method and the existing convex optimization techniques. Finally, the proposed design method is successfully applied to feedback control problem of the FitzHugh-Nagumo equation.

关键词： distributed parameter systems Robust control Exponential stability Spatiotemporal uncertainty Linear matrix inequalities (LMIs)

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Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic distributed parameter systems

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IEEE TRANSACTIONS ON FUZZY systems 2014年第3期22卷 642-652页

作者： Wu, Huai-Ning Wang, Jun-Wei Li, Han-Xiong Beijing Univ Aeronaut & Astronaut Beihang Univ Sch Automat Sci & Elect Engn Sci & Technol Aircraft Control Lab Beijing 100191 Peoples R China Univ Sci & Technol Beijing Sch Automat & Elect Engn Beijing Peoples R China Beijing Univ Aeronaut & Astronaut Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China City Univ Hong Kong Dept Syst Engn & Engn Management Hong Kong Hong Kong Peoples R China Cent South Univ State Key Lab High Performance Complex Mfg Changsha Hunan Peoples R China

This paper deals with the problem of fuzzy boundary control design for a class of nonlinear distributed parameter systems which are described by semilinear parabolic partial differential equations (PDEs). Both distributed measurement form and collocated boundary measurement form are considered. A Takagi-Sugeno (T-S) fuzzy PDE model is first applied to accurately represent the semilinear parabolic PDE system. Based on the T-S fuzzy PDE model, two types of fuzzy boundary controllers, which are easily implemented since only boundary actuators are used, are proposed to ensure the exponential stability of the resulting closed-loop system. Sufficient conditions of exponential stabilization are established by employing the Lyapunov direct method and the vector-valued Wirtinger's inequality and presented in terms of standard linear matrix inequalities. Finally, the advantages and effectiveness of the proposed control methodology are demonstrated by the simulation results of two examples.

关键词： Boundary control collocated boundary measurement distributed measurement distributed parameter systems Takagi-Sugeno (T-S) fuzzy model

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Improving control and estimation for distributed parameter systems utilizing mobile actuator-sensor network

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ISA TRANSACTIONS 2014年第4期53卷 1087-1095页

作者： Mu, Wenying Cui, Baotong Li, Wen Jiang, Zhengxian Jiangnan Univ Key Lab Adv Proc Control Light Ind Minist Educ Wuxi 214122 Peoples R China

This paper proposes a scheme for non-collocated moving actuating and sensing devices which is unitized for improving performance in distributed parameter systems. By Lyapunov stability theorem, each moving actuator/sensor agent velocity is obtained. To enhance state estimation of a spatially distributes process, two kinds of filters with consensus terms which penalize the disagreement of the estimates are considered. Both filters can result in the well-posedness of the collective dynamics of state errors and can converge to the plant state. Numerical simulations demonstrate that the effectiveness of such a moving actuator sensor network in enhancing system performance and the consensus filters converge faster to the plant state when consensus terms are included. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.

关键词： Moving actuator sensor network distributed parameter systems Spatial distribution Consensus filter Disagreement penalty term

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Reduced order in domain control of distributed parameter port-Hamiltonian systems via energy shaping

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AUTOMATICA 2024年 161卷

作者： Liu, Ning Wu, Yongxin Le Gorrec, Yann Lefevre, Laurent Ramirez, Hector Univ Franche Comte Inst FEMTO ST SUPMICROTECH CNRS F-25000 Besancon France Inst FEMTO ST SUPMICROTECH CNRS F-25000 Besancon France Univ Grenoble Alpes LCIS F-26902 Valence France Univ Tecn Federico Santa Maria Valparaiso Chile

An in-domain finite dimensional controller for a class of distributed parameter systems on a onedimensional spatial domain formulated under the port-Hamiltonian framework is presented. Based on (Trenchant et al. 2017) where positive feedback and a late lumping approach is used, we extend the Control by Interconnection method and propose a new energy shaping methodology with an early lumping approach on the distributed spatial domain of the system. Our two main control objectives are to stabilize the closed-loop system, as well as to improve the closed-loop dynamic performances. With the early lumping approach, we investigate two cases of the controller design, the ideal case where each distributed controller acts independently on the spatial domain (fully-actuated), and the more realistic case where the control action is piecewise constant over certain intervals (under-actuated). We then analyze the asymptotic stability of the closed-loop system when the infinite dimensional plant system is connected with the finite dimensional controller. Furthermore we provide simulation results comparing the performance of the fully-actuated case and the under-actuated case with an example of an elastic vibrating string.

关键词： Port-Hamiltonian systems distributed parameter systems Passivity-based control Casimir function Optimization

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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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Spatial PID consensus controllers for distributed filters of distributed parameter systems

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systems & CONTROL LETTERS 2014年第1期63卷 57-62页

作者： Demetriou, Michael A. Worcester Polytech Inst Dept Mech Engn Worcester MA 01609 USA

This paper considers the spatial penalization of the pairwise state estimate differences as used to enforce consensus in spatially distributed filters. A spatially distributed process, described by a parabolic partial differential equation is assumed to have a network of in-domain sensors. Each spatially distributed filter corresponds to a single sensor in the network and the goal is for these filters to collaboratively reach a consensus on the process state estimate. To enhance the agreement of the spatially distributed filters, the spatial gradient of the pairwise difference of state estimates is used as a means to penalize their disagreement. Additionally, a proportional and an integral penalization of the pairwise differences are also examined in order to produce a spatial proportional-integral-derivative penalization. To address the partial connectivity, certain conditions on the communication topology are given implicitly in terms of the inner product of the state estimation errors and their pairwise differences. Simulation studies provide an insight on the effects of this spatial penalizations. (C) 2013 Elsevier B.V. All rights reserved.

关键词： distributed parameter systems Spatially distributed filters Spatial PID controllers Consensus filters

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