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Adaptive H∞Formation Control for distributed parameter systems of Hyperbolic Type by Finite Dimensional Controllers

SICE Journal of Control, Measurement, and system Integration 2014年第2期7卷 82-89页

作者： Yoshihiko Miyasato Department of Mathematical Analysis and Statistical Inference The Institute of Statistical Mathematics

In this paper, the author considers the problem of designing H∞ formation control of multi-agent systems that are composed of distributed parameter systems of hyperbolic type. Although distributed parameter systems are infinite dimensional processes, the proposed control schemes are constructed from finite dimensional compensators. The control strategies are derived as solutions of certain H∞ control problems, and we can regard the artificial error terms in the potential functions and the effects of neglected infinite-dimensional modes as external disturbances to the processes. It is shown that the desirable formations are achieved approximately via adaptation schemes.

关键词： adaptive control formation control distributed parameter system H&infin control

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A local approach for the LPV identification of an actuated beam using piezoelectric actuators and sensors

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MECHATRONICS 2014年第4期24卷 289-297页

作者： Liu, Qin Gross, Joseph Pfeiffer, Sven Werner, Herbert Hamburg Univ Technol Inst Control Syst D-21073 Hamburg Germany

This paper considers the identification of structural dynamics by identifying its frequency response functions (FRFs) - a mathematical representation of the relationship between the vibration response at one location and excitation at the same or another location. The spatially-varying characteristics of the FRFs at various input and output locations are explored, and lead to a spatial linear parameter varying (LPV) representation. A local LPV identification technique for lumped systems is adapted here to spatially-interconnected systems. The identification of a spatial LPV model facilitates the experimental work, and also simplifies the controller synthesis. The proposed approach is applied to identify an actuated beam equipped with an array of collocated piezoelectric actuators and sensors for performance illustration. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system system identification Linear parameter varying Local approach Piezoelectric

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Fractional-Order Tension Control Law for Deployment of Space Tether system

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JOURNAL OF GUIDANCE CONTROL AND DYNAMICS 2014年第6期37卷 2062-2066页

作者： Sun, Guanghui Zhu, Z. H. Harbin Inst Technol Harbin 150001 Peoples R China York Univ Dept Earth & Space Sci & Engn Toronto ON M3J 1P3 Canada

One of the critical issues for space tether missions is the stable deployment of the tether. Many effective control strategies and devices have been proposed for the deployment. First, it is more suitable for modeling flexible structures because of its unique historical memory effect. Second, it provides an effective and clear-cut robust control strategy, especially for distributed parameter systems. Third, it responds to control input faster, with smaller overshoots than its integer counterpart. It is shown that the stable region of classic integer-order tension control is the subset of the stable region of the fractional-order tension control. The newly proposed fractional-order control law has been discretized and implemented by the frequency approximation method and the Tustin operator. The effectiveness and advantage of the new fractional-order tension control law is demonstrated by simulation.

关键词： Space Tethers distributed parameter system Satellites Nonlinear Feedback Earth Space Tether Missions Lead Lag Compensator Flexible Structures

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distributed control of nonlinear diffusion systems by input-output linearization

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2014年第3期24卷 389-405页

作者： Maidi, Ahmed Corriou, Jean-Pierre Univ Mouloud MAMMERI Lab Concept & Conduite Syst Prod Tizi Ouzou 15000 Algeria Lorraine Univ Lab React & Genie Proc CNRS ENSIC INPL F-54001 Nancy France

This paper addresses the distributed control by input-output linearization of a nonlinear diffusion equation that describes a particular but important class of distributed parameter systems. Both manipulated and controlled variables are assumed to be distributed in space. The control law is designed using the concept of characteristic index from geometric control by using directly the PDE model without any approximation or reduction. The main idea consists in the control design in assuming an equivalent linear diffusion equation obtained by use of the Cole-Hopf transformation. This framework helps to demonstrate the closed-loop stability using some concepts from the powerful semigroup theory. The performance of the proposed controller is successfully tested, through simulation, by considering a nonlinear heat conduction problem concerning the control of the temperature of a steel plate modeled by a nonlinear heat equation with Dirichlet boundary conditions. Copyright (c) 2012 John Wiley & Sons, Ltd.

关键词： distributed parameter system diffusion system Cole-Hopf transformation geometric control semigroup theory exponential stability

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Electrolyte depletion control laws for lead-acid battery discharge optimisation

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JOURNAL OF POWER SOURCES 2014年第Dec.15期270卷 658-667页

作者： Tenno, R. Nefedov, E. Aalto Univ Sch Elect Engn Aalto Finland

The technique described in this paper balances the power and energy withdrawn from a battery in galvanostatic discharge control that aims for stabilisation of the electrolyte concentration above the depletion level. This aim is achieved with relatively simple proportional feedback controls that are exponentially stabilising controls for a simple diffusion process that is the core part of battery processes. Although the full mapping of the proposed controls to state is rather complex, it has shown that the transformation works. In practice, these controls can be approximated either with the integrated past controls or with a simple exponential function that depends on a few parameters adjusted to the electrochemical processes in a battery under consideration. The battery control is tested in simulation on a detailed model developed for a lead-acid electrochemical cell. (C) 2014 Elsevier B.V. All rights reserved.

关键词： Lead-acid battery distributed parameter system Process control Boundary control

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Boundary geometric control of a linear Stefan problem

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JOURNAL OF PROCESS CONTROL 2014年第6期24卷 939-946页

作者： Maidi, Ahmed Corriou, Jean-Pierre Univ Mouloud MAMMERI Lab Concept & Conduite Syst Prod Tizi Ouzou 15000 Algeria Lorraine Univ CNRS UMR 7274 Lab React & Genie Procedes F-54001 Nancy France

This paper addresses the geometric control. of the position of a liquid solid interface in a melting process of a material known as Stefan problem. The system model is hybrid, i.e. the dynamical behavior of the liquid-phase temperature is modeled by a heat equation while the motion of the moving boundary is described by an ordinary differential equation. The control is applied at one boundary as a heat flux and the second moving boundary represents the liquid solid interface whose position is the controlled variable. The control objective is to ensure a desired position of the liquid solid interface. The control law is designed using the concept of characteristic index, from geometric control theory, directly issued from the hybrid model without any reduction of the partial differential equation. It is shown by use of Lyapunoy stability test that the control law yields an exponentially stable closed-loop system. The performance of the developed control law is evaluated through simulation by considering zinc melting. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： distributed parameter system Stefan problem Moving boundary Geometric control Characteristic index Exponential stability

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Stabilization of an Inhomogeneous Heat Equation Subject to Constraint

Stabilization of an Inhomogeneous Heat Equation Subject to C...

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International Conference on Control, Automation and systems

作者： Shuang Zhang Chuan Yang Shuangxi Nie Wei He School of Aeronautics and Astronautics University of Electronic and Technology of China School of Automation Engineering University of Electronic and Technology of China School of Automation and Electrical Engineering University of Science and Technology Beijing

ISBN: (纸本)9781479999767

In this paper, the constrained problem is investigated for an inhomogeneous heat equation with distributed load. The control objectives are to develop the control law so that the temperature can track a desired reference signal, and ensure that the temperature remains in a constrained space. We show that, with the proposed sliding-mode control method, the tracking error is bounded stable without violation of the constraint. Extensive simulations are provided to illustrate the performance of the control system.

关键词： distributed parameter system Sliding-mode control Heat equation Infinite dimensional system Constraint

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Adaptive Control of a Flexible Crane system With the Boundary Output Constraint

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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2014年第8期61卷 4126-4133页

作者： He, Wei Zhang, Shuang Ge, Shuzhi Sam Univ Elect Sci & Technol China Sch Automat Engn Chengdu 611731 Peoples R China Univ Elect Sci & Technol China Sch Aeronaut & Astronaut Chengdu 611731 Peoples R China Natl Univ Singapore Dept Elect & Comp Engn Singapore 117576 Singapore Univ Elect Sci & Technol China Inst Robot Sch Comp Sci & Engn Chengdu 611813 Peoples R China

In this paper, a flexible cable with a payload attached at the bottom is considered to be the model of a crane system used for positioning the payload. The dynamics of the flexible cable coupled with the tip payload contribute to a hybrid system represented by partial-ordinary differential equations. An integral-barrier Lyapunov function (IBLF)-based control is proposed to suppress the undesirable vibrations of the flexible crane system with the boundary output constraint. Adaption laws are developed for handling parametric uncertainties. A novel IBLF is adopted to guarantee the uniform stability of the closed-loop systems without the violation of the boundary constraint. All closed-loop signals are ensured to be bounded. Extensive simulations are demonstrated to illustrate the performance of the control system.

关键词： Adaptive control boundary control distributed parameter system flexible crane partial differential equation (PDE)

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A fuzzy-based spatio-temporal multi-modeling for nonlinear distributed parameter processes

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APPLIED SOFT COMPUTING 2014年第1期25卷 309-321页

作者： Qi, Chenkun Li, Han-Xiong Li, Shaoyuan Zhao, Xianchao Gao, Feng Shanghai Jiao Tong Univ Sch Mech Engn State Key Lab Mech Syst & Vibrat Shanghai 200240 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 Shanghai Jiao Tong Univ Dept Automat Shanghai 200240 Peoples R China

Many industrial processes belong to nonlinear distributed parameter systems (DPS) with significant spatio-temporal dynamics. They often work at multiple operating points due to different production and working conditions. To obtain a global model, the direct modeling and experiments in a large operating range are often very difficult. Motivated by the multi-modeling, a fuzzy-based spatio-temporal multi-modeling approach is proposed for nonlinear DPS. To obtain a reasonable operating space division, a priori information and the fuzzy clustering are used to decompose the operating space from coarse scale to fine scale gradually. To reduce the dimension in the local spatio-temporal modeling, the Karhunen-Loeve method is used for the space/time separation. Both multi-modeling and space/time separation can reduce the modeling complexity. Finally, to get a smooth global model, a three-domain (3D) fuzzy integration method is proposed. Using the proposed method, the model accuracy will be improved and the experiments become easier. The effectiveness is verified by simulations. (C) 2014 Elsevier B.V. All rights reserved.

关键词： distributed parameter system Spatio-temporal modeling Multi modeling Kernel model Space/time separation Fuzzy clustering

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Robust output regulation and the preservation of polynomial closed-loop stability

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INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2014年第18期24卷 3409-3436页

作者： Paunonen, Lassi Pohjolainen, S. Tampere Univ Technol Dept Math FIN-33101 Tampere Finland

In this paper, we study the robust output regulation problem for distributed parameter systems with infinite-dimensional exosystems. The main purpose of this paper is to demonstrate the several advantages of using a controller that achieves polynomial closed-loop stability, instead of a one stabilizing the closed-loop system strongly. In particular, the most serious unresolved issue related to strongly stabilizing controllers is that they do not possess any known robustness properties. In this paper, we apply recent results on the robustness of polynomial stability of semigroups to show that, on the other hand, many controllers achieving polynomial closed-loop stability are robust with respect to large and easily identifiable classes of perturbations to the parameters of the plant. We construct an observer based feedback controller that stabilizes the closed-loop system polynomially and solves the robust output regulation problem. Subsequently, we derive concrete conditions for finite rank perturbations of the plant's parameters to preserve the closed-loop stability and the output regulation property. The theoretical results are illustrated with an example where we consider the problem of robust output tracking for a one-dimensional heat *** (c) 2013 John Wiley & Sons, Ltd.

关键词： robust output regulation distributed parameter system polynomial stability internal model principle

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