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第35届中国控制会议

作者： Jun-Wei Wang Yi Guo School of Automation and Electrical Engineering University of Science and Technology Beijing Department of Electrical & Computer Engineering Stevens Institute of Technology

ISBN: (纸本)9781509009107

The paper addresses the problem of state estimation using the measurement output of a mobile pointwise sensor for a class of nonlinear distributed parameter systems, which are modeled by a scalar semi-linear parabolic partial differential equation. A Lyapunov-based co-design method is proposed for simultaneous design of the guidance law of the mobile sensor and the distributed-parameter Luenberger observer. Exponential stability is guaranteed for the observer error system under a linear matrix inequality(LMI) condition. Numerical simulation of a real-world example shows the effectiveness of the method and the merit of the proposed design compared to a fixed sensor.

关键词： State estimation Luenberger observer Mobile sensor distributed parameter systems

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Temporal Clustering for Order Reduction of Nonlinear Parabolic PDE systems with Time-Dependent Spatial Domains: Application to a Hydraulic Fracturing Process

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AICHE JOURNAL 2017年第9期63卷 3818-3831页

作者： Narasingam, Abhinav Siddhamshetty, Prashanth Kwon, Joseph Sang-Il Texas A&M Univ Artie McFerrin Dept Chem Engn College Stn TX 77843 USA

A temporally-local model order-reduction technique for nonlinear parabolic partial differential equation (PDE) systems with time-dependent spatial domains is presented. In lieu of approximating the solution of interest using global (with respect to the time domain) empirical eigenfunctions, low-dimensional models are derived by constructing appropriate temporally-local eigenfunctions. Within this context, first of all, the time domain is partitioned into multiple clusters (i.e., subdomains) by using the framework known as global optimum search. This approach, a variant of Generalized Benders Decomposition, formulates clustering as a Mixed-Integer Nonlinear Programming problem and involves the iterative solution of a Linear Programming problem (primal problem) and a Mixed-Integer Linear Programming problem (master problem). Following the cluster generation, local (with respect to time) eigenfunctions are constructed by applying the proper orthogonal decomposition method to the snapshots contained within each cluster. Then, the Galerkin's projection method is employed to derive low-dimensional ordinary differential equation (ODE) systems for each cluster. The local ODE systems are subsequently used to compute approximate solutions to the original PDE system. The proposed local model order-reduction technique is applied to a hydraulic fracturing process described by a nonlinear parabolic PDE system with the time-dependent spatial domain. It is shown to be more accurate and computationally efficient in approximating the original nonlinear system with fewer eigenfunctions, compared to the model order-reduction technique with temporally-global eigenfunctions. (C) 2017 American Institute of Chemical Engineers

关键词： distributed parameter systems transport-reaction processes time-dependent spatial domains model order reduction temporal clustering hydraulic fracturing

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Active disturbance rejection control: Old and new results

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ANNUAL REVIEWS IN CONTROL 2017年 44卷 238-248页

作者： Feng, Hongyinping Guo, Sao-Zhu Shanxi Univ Sch Math Sci Taiyuan 030006 Shanxi Peoples R China Acad Sinica Acad Math & Syst Sci Key Lab Syst & Control Beijing 100190 Peoples R China Univ Witwatersrand Sch Comp Sci & Appl Math ZA-2050 Johannesburg South Africa

The active disturbance rejection control (ADRC), first proposed by Jingqing Han in the 1980s is an unconventional design strategy. It has been acknowledged to be an effective control strategy in the absence of proper models and in the presence of model uncertainty. Its power was originally demonstrated by numerical simulations, and later by many engineering practices. For the theoretical problems, namely, the convergence of the tracking differentiator which extracts the derivative of reference signal;the extended state observer used to estimate not only the state but also the "total disturbance", by the output;and the extended state observer based feedback, progresses have also been made in the last few years from nonlinear lumped parameter systems to distributed parameter systems. The aim of this paper is to review the origin, idea and development of this new control technology from a theoretical perspective. Emphasis will be focused on output feedback stabilization for uncertain systems described by partial differential equations. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： Active disturbance rejection control Tracking differentiator Extended state observer Nonlinear lumped parameter systems distributed parameter systems

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Adaptive Stabilization of 2 x 2 Linear Hyperbolic systems With an Unknown Boundary parameter From Collocated Sensing and Control

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IEEE TRANSACTIONS ON AUTOMATIC CONTROL 2017年第12期62卷 6237-6249页

作者： Anfinsen, Henrik Aamo, Ole Morten Norwegian Univ Sci & Technol Dept Engn Cybernet N-7491 Trondheim Norway

In this paper, we solve an adaptive control problem for a class of 2 x 2 linear hyperbolic partial differential equations, where sensing and actuation are restricted to the boundary anticollocated with an uncertain parameter. This is done by combining a recently derived adaptive observer for the system states and the uncertain parameter, with an adaptive control law. Proof of L-2-boundedness for all signals in the closed loop is given, and the system states are proved to converge to zero pointwise in space. The theory is demonstrated in a simulation.

关键词： Adaptive control distributed parameter systems linear systems

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Backstepping-based boundary feedback control for a fractional reaction diffusion system with mixed or Robin boundary conditions

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IET CONTROL THEORY AND APPLICATIONS 2017年第17期11卷 2964-2976页

作者： Chen, Juan Zhuang, Bo Chen, YangQuan Cui, Baotong Jiangnan Univ Key Lab Adv Proc Control Light Ind Minist Educ Wuxi Peoples R China Jiangnan Univ Sch IoT Engn Wuxi Peoples R China Univ Calif Merced Mechatron Embedded Syst & Automat Lab Merced CA 95343 USA

This study is concerned with a stabilisation problem of a boundary controlled fractional reaction diffusion (FRD) system with mixed or Robin boundary conditions. The contribution of this study is to utilise boundary feedback control to stabilise the FRD system with mixed or Robin boundary conditions in terms of the backstepping method. Specifically, three backstepping-based boundary feedback controllers have been proposed to address the stabilisation problem of the FRD system with mixed or Robin boundary conditions, including Dirichlet, Neumann, and Robin backstepping-based boundary feedback controllers. Moreover, based on Lyapunov-based Mittag-Leffler stability theory, we prove that the FRD system with mixed or Robin boundary conditions is Mittag-Leffler stable by the proposed three backstepping-based boundary feedback controllers. Finally, the numerical efforts of the open-loop and the closed-loop solutions of the FRD systems with mixed or Robin boundary conditions are presented by two numerical experiments to verify the validness of our results.

关键词： closed loop systems control nonlinearities distributed parameter systems feedback Lyapunov methods open loop systems reaction-diffusion systems stability

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Stability of stochastic distributed parameter switched systems

Stability of stochastic distributed parameter switched syste...

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第三十一届中国控制会议

作者： Dai Xisheng~(1,2),Deng Feiqi~2,Luo Wenguang~1 1.Department of Electronic Information and Control Engineering,Guangxi University of Technology,Liuzhou 545006,China 2.School of Automatic Science and Engineering,South China University of Technology,Guangzhou 510640,China

In this paper,stabilization of stochastic distributed parameter switched systems is *** constructing different Lyapunov function and employing linear matrix inequality and exponential martingale inequality,sufficient conditions of mean square stable,exponential stable in mean square and almost surely exponential stable for the systems are ***, a computation example is given to illustrate the proposed method.

关键词： distributed parameter systems Stabilization Stochastic switched systems Ito formula

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Robust Control for a class of distributed parameter Switched systems with Time-Delay

Robust Control for a class of Distributed Parameter Switched...

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第三届数字制造与自动化国际会议

作者： Dong Xueping Gan Min Chu Zhaobi School of Electrical Engineering and Automation Hefei University of Technology

The robust control for a class of distributed parameter switched systems with time-delay is studied. The sufficient condition for the existence of the hybrid state feedback robust controller for the closed-loop switched systems is obtained based on Green formula and Lyapunov function method. Using the linear matrix inequality (LMI) approach, the design of the robust controller is converted into finding feasible solutions of a group of LMIs, which can be efficiently carried out using Matlab LMI toolbox. Simultaneously, the method to reduce the conservativeness of the design for the robust control system is also investigated. Finally, a numerical example is presented to show the validity of the proposed design method.

关键词： distributed parameter systems switched systems robust control time-delay

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distributed and backstepping boundary controls for port-Hamiltonian systems with symmetries

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MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL systems 2017年第1期23卷 55-76页

作者： Ngoc Minh Trang Vu Lefevre, Laurent Nouailletas, Remy CEA IRFM St Paul Les Durance France Univ Grenoble Alpes Valence France

A geometric spatial reduction for the port-Hamiltonian models is presented in this paper. It is based on the projection which makes use of the symmetries and on the preservation of the natural' power pairing for the considered system. Thanks to this reduction, an Interconnection and Damping Assignment Passivity Based Control (IDA-PBC-like) synthesis for infinite dimensional port-Hamiltonian systems is investigated. As for the finite dimensional case, a feedback control transforms the original model into a closed-loop target Hamiltonian model. Both distributed control and boundary control are used. The finite rank distributed control is determined to solve an average IDA-PBC matching equation. A backstepping boundary control is used to stabilize the matching error. The control model chosen to illustrate the approach is the so-called resistive diffusion equation for the radial diffusion of the poloidal magnetic flux.

关键词： distributed parameter systems port-Hamiltonian systems reduction spatial symmetries passivity based control backstepping control plasma control

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Design of a dynamical hybrid observer for pressure swing adsorption processes

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INTERNATIONAL JOURNAL OF HYDROGEN ENERGY 2017年第33期42卷 21027-21039页

作者： Fakhroleslam, Mohammad Boozarjomehry, Ramin Bozorgmehry Fatemi, Shohreh Univ Tehran Coll Engn Sch Chem Engn POB 11365-4563 Tehran Iran Sharif Univ Technol Chem & Petr Engn Dept POB 11365-9465 Tehran Iran

As an integral part of a hybrid control system for Pressure Swing Adsorption (PSA) processes, a dynamical hybrid observer is proposed for online reconstruction of the active mode and continuous states of these processes. Hybrid systems feature both continuous and discrete-event dynamics and hence are very suited to describe PSA processes. For estimation of the active mode, a mode observer is designed, and the continuous spatial profiles in each mode are estimated by distributed and decentralized Kalman filters. The proposed hybrid observer has been applied, in silico, for a two-bed, six-step PSA process used for Hydrogen purification. The active mode of the process along with the continuous spatial profiles of its adsorption beds have been estimated quite accurately based on the measured temperatures and pressures at a few points in the process, these measured signals are all noise-corrupted and measured discretely. (C) 2017 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.

关键词： Hybrid systems Observer Transition detector Pressure swing adsorption distributed parameter systems

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Neutral functional differential equations and systems of conservation laws

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IFAC-PapersOnLine 2017年第1期50卷 13336-13341页

作者： Danciu, Daniela Rsvan, Vladimir Department of Automation and Electronics University of Craiova A.I.Cuza 13 CraiovaRO-200585 Romania

A natural way of introducing neutral functional differential equations is integration along the characteristics of the Riemann invariants of the hyperbolic partial differential equations. Up to now the problem has been discussed by A.D. Myshkis, K.L. Cooke and their followers in the linear or quasilinear case. The conservation laws are nonlinear hyperbolic partial differential equations whose study goes back to the fifties of the previous century, being due to the pioneering papers of O.A. Oleinik and P.D. Lax. These equations describe important phenomena in Physics and Engineering, being also subject to control issues. The present paper is an attempt to extend the method of integrating along the characteristics to the systems of conservation laws. The main purpose of this attempt is to emphasize the occurring nonlinear neutral functional differential equations and to construct the augmented validation (existence, uniqueness, continuous data dependence, Stability Postulate) at least at the level of the classical solutions. © 2017

关键词： Nonlinear equations Nonlinear systems Partial differential equations Physical properties Time delay Classical solutions Conservation law distributed parameter systems Hyperbolic partial differential equation Neutral functional differential equations Nonlinear hyperbolic Riemann invariants systems of conservation laws

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