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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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OPTIMAL ALLOCATION OF ACTUATORS FOR CONTROL OF A PARABOLIC distributed-parameter system

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KAGAKU KOGAKU RONBUNSHU 1993年第4期19卷 639-646页

作者： YOSHIDA, M MATSUI, K MATSUMOTO, S Dept. of Biochemistry and Eng. Tohoku Univ. Sendai 980 Japan Toyo Engineering Corporation Japan

A search method to determine optimal actuator allocation is proposed in the design of a control system for a linear distributed parameter system of parabolic type. It was applied to a one-dimensional heat conduction process and the controller performance was tested. The results show that the proposed method gives an accurate optimal allocation of actuators (heaters) by which a desired temperature distribution can be achieved. It was also found that the desired state distribution could be realized satisfactorily with a few actuators when they were assigned to the optimal locations.

关键词： PROCESS CONTROL distributed parameter system ACTUATOR ALLOCATION HEAT CONDUCTION

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On Modelling a Flexible Robot Arm as a distributed parameter system with Nonhomogeneous, Time-Varying Boundary Conditions

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IFAC Proceedings Volumes 1987年第1期20卷 75-81页

作者： M.G. Forrest-Barlach Chrysler Corporation Detroit MI 48288 USA

The problem of end-point position control of a structuraily flexible robot arm can generally be embedeed as a nonhomogeneous, time-dependent boundary value problem. we suggestt an organic appproach which relies on an elegant transformation of a boundary value problem with homogeneous, time-varrying boundary conditions B.L.S to modifier problem with homogeneous and distributed input forces. for which modal control technique are applicable. The tranetomator leads to an infinite dimensional state space representation, which added trunation. is known to be completely controllible and conditionality completely observe. The advantage of using this transformation is that it can utilize the modal shapes and frequencies with are obtained for a given arm through finite element methods. We formulated the modified problem for a single link invisible aim and derived the state space model required for an actual controller design

关键词： Robots modelling distributed parameter system partial differential equations boundary value problems eigenvalues eigenfuctions modal control

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Modeling and Control of Temperature Field of the Secondary Cooling Zone in Continuous Casting of Steel as distributed parameter system

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IFAC Proceedings Volumes 2013年第9期46卷 1483-1488页

作者： K. Ondrejkoviĉ P. Buĉek P. Noga L. Tkáĉ G. Hulkó Slovak University of Technology in Bratislava Nám. slobody 17 81231 Bratislava Slovakia (Tel: +421-2-57294-111 Železiarne Podbrezová Research and Development Centre Kolkáreň 35 97681 Podbrezová Slovakia (Tel: +421-48-645-4035

This paper presents some results on modeling and control of temperature field in a steel continuous casting, demonstrating the possibilities of using engineering methods for control of distributed parameter systems along with virtual engineering environments. A system to be controlled is considered as lumped-input and distributed-parameter-output system. Dynamics and control synthesis are decomposed into time and space components, respectively. Demonstrations of PID and adaptive model-based predictive control are being presented via cosimulation, utilizing virtual software environments for continuous casting simulation and distributed parameter control systems, respectively.

关键词： distributed parameter system simulation control dynamics decomposition continuous casting secondary cooling zone finite element method ProCAST DPS Blockset

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A novel three-dimensional fuzzy controller for the distributed parameter system

A novel three-dimensional fuzzy controller for the distribut...

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6th World Congress on Intelligent Control and Automation

作者： Li, Han-Xiong Zhang, Xian-Xia Li, Shao-Yuan City Univ Hong Kong Dept MEEM Hong Kong Hong Kong Peoples R China Shanghai Jiao Tong Univ Inst Automat Shanghai 200030 Peoples R China

ISBN: (纸本)1424403316

A three-dimensional fuzzy logic controller (3-D FLC) is presented for the control of distributed parameter system (DPS). Different to the traditional FLC, the 3-D FLC deals with three-dimensional fuzzy set (3-D fuzzy set), i.e. the traditional fuzzy set plus spatial dimension. The proposed FLC still consists of defuzzification, rule inference, and defuzzilication. Different to the traditional FLC, the 3-D FLC can fuse information measured from space domain into a spatial membership function, and then rules will not increase as sensors increase for spatial measurement. Therefore, the 3-D FLC has the capability to handle spatial information. Application of the 3-D FLC is presented for a catalytic packed-bed reactor to show the effectiveness of the new fuzzy controller design, and comparisons with the traditional fuzzy controller are also given.

关键词： fuzzy set fuzzy logic controller distributed parameter system three-dimensional fuzzy set

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An Observer-based Model Predictive Control Strategy for distributed parameter system ∗

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IFAC-PapersOnLine 2015年第8期48卷 883-887页

作者： Meng Ling Wang Hongbo Shi Wen Yang East China University of Science and Technology Key Laboratory of Advanced Control and Optimization for Chemical Professes of the Ministry of Eduction Shanghai China

In this paper, an observer-based model predictive control (MPC) strategy is presented for distributed parameter systems (DPSs). First, principal component analysis (PCA) is used for dimension reduction by transforming the high-dimensional spatio-temporal data into a low-dimensional time domain. Then an observer is builded to estimate the low-dimensional temporal output using the real-time measurable spatiotemporal output. Finally, the MPC strategy is proposed based on the low-dimensional estimation models. Simulations demonstrate the accuracy and efficiency of the proposed methodologies.

关键词： distributed parameter system model predictive control PCA time/space separation observer

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Predictive Control of State Square Nonlinear distributed parameter system Based on Wavelets Transformation 11

Predictive Control of State Square Nonlinear Distributed Par...

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11th World Congress on Intelligent Control and Automation

作者： Ding, Douzhang Gu, Xingsheng Shanghai Dianji Univ Dept Elect Engn Shanghai Peoples R China East China Univ Sci & Technol Res Inst Automat Shanghai Peoples R China

ISBN: (纸本)9781479958252

The modeling and control of nonlinear distributed parameter system is a complex problem. Based on orthogonal wavelets transformation, system state square nonlinear distributed parameter system is approximated into lumped parameter system. The predictive control proposition of nonlinear distributed parameter system is transformed into predictive control issue of lumped parameter system. Discrete-time predictive control algorithm of distributed parameter system based on orthogonal wavelets transformation is proposed. The predictive controller is designed for the input returning to the control rule of original system. Simulation studies of the proposed algorithm, system robustness under uncertainty such as the system parameters perturbations, and a disturb occurring to the system output are shown. The results verified the algorithm effective.

关键词： nonlinear distributed parameter system orthogonal wavelets transformation predictive control simulation study

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Nonlinear inversion-based control of a distributed parameter heating system

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APPLIED THERMAL ENGINEERING 2012年 43卷 174-179页

作者： Toth, Laszlo Richard Nagy, Lajos Szeifert, Ferenc Univ Pannonia Dept Proc Engn H-8200 Veszprem Hungary

In this work the control of a pilot-scale water heating equipment was studied. The water flows through a tube, in which it was heated by electric power. The outlet temperature was controlled by the flow rate, compensating heat duty and inlet temperature disturbances. This device shows resemblance to solar collectors and heat exchangers, thus making it a useful tool to carry out controller experiments for similar objects. The method of constrained inversion was applied. This control strategy is based on the first principle model of the process and feed-forward control. Two different approaches were compared in handling the distributed parameter system. To eliminate steady-state error, a feedback compensation was needed, which was implemented in an IMC structure. Experimental results showed that both controllers were superior to the conventional PI controller. Compensation of dead time, nonlinearity and measured disturbances are the key factors in the success of the model-based controller. (C) 2011 Elsevier Ltd. All rights reserved.

关键词： Control Modeling Constrained inverse IMC distributed parameter system

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Stabilization of Uncertain distributed parameter system

Stabilization of Uncertain Distributed Parameter System

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1995年中国控制会议

作者：张升海 Department of Applied Mathematics Xi’an Jiaotong University

＜正＞This paper is concerned with the problem of stabilizaion of uncertain distributed parameter systems which governed by an ordinary differential equation in a real Hilbert space. We use perturbation analysis of semigroup and Lyapunov theory to study the stabilization of the uncertain systems under simple and fundamental assumptions.

关键词： distributed parameter system Uncertain system Stabilization.

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Control of Continuous Steel Billet Induction Heater as distributed parameter system

Control of Continuous Steel Billet Induction Heater as Distr...

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International Conference on Process Control

作者： Juraj Camber Juraj Kapusta Gabriel Hulko Institute of Automation Measurement and Applied Informatics Faculty of Mechanical Engineering Slovak University of Technology

ISBN: (纸本)9781479909261

Industrial induction heating represents the environmentally clean, contactless method of steel heating. Same time it has high energy consumption, so in recent years, more efficient modular topology of heaters were introduced. Due to its multiple power modules, there is a possibility to apply the distributed parameter system control theory. By the usage of COMSOL Multiphysics solution, the model in the form of lumped-input and distributed-parameter-output system has been built. The process control is performed on the relations between the coil currents fed into four separate modules of heating device and desired billet temperature profile.

关键词： distributed parameter system Induction heating Temperature field Control COMSOL Virtual software environments

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