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Feedforward Control of Deformable Membrane Mirrors for Adaptive Optics

IEEE TRANSACTIONS ON CONTROL systemS TECHNOLOGY 2013年第3期21卷 579-589页

作者： Ruppel, Thomas Dong, Shihao Rooms, Frederic Osten, Wolfgang Sawodny, Oliver Univ Stuttgart Inst Syst Dynam D-70569 Stuttgart Germany Univ Stuttgart Inst Tech Opt D-70569 Stuttgart Germany ALPAO F-38330 Biviers France

In this paper, performance enhancements for deformable membrane mirrors based on model-based feedforward control are presented. The investigated deformable mirror consists of a flexible membrane and voice coil actuators. Feedback control of the distributed actuators cannot be implemented in these mirrors due to a lack of high speed internal position measurements of the membrane's deformation. However, by using feedforward control, the dominant dynamics of the membrane can still be controlled allowing for faster settling times and reduced membrane vibrations. Experimental results are presented for an ALPAO deformable mirror with 88 distributed actuators on a circular membrane with a pupil of two centimeters in diameter.

关键词： Adaptive optics deformable membrane mirror distributed parameter system feedforward control

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Boundary Control of a Flexible Riser With the Application to Marine Installation

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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 2013年第12期60卷 5802-5810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 Inst Robot Chengdu 611731 Peoples R China Natl Univ Singapore Dept Elect & Comp Engn Singapore 117576 Singapore Univ Elect Sci & Technol China Sch Comp Sci & Engn Inst Robot Chengdu 611813 Peoples R China

This paper investigates the control problem of a marine riser installation system. The riser installation system consisting of a vessel, a flexible riser, and a subsea payload is modeled as a distributed parameter system with one partial differential equation and four ordinary differential equations. Based on Lyapunov's direct method, adaptive boundary control is proposed at the top and bottom boundaries of the riser to position the subsea payload to the desired set point and suppress the riser's vibration. With the proposed control, uniform boundedness of the steady-state error between the boundary payload and the desired position is achieved by suitably choosing the design parameters. Numerical simulations are presented for demonstrating the effectiveness of the proposed control.

关键词： Adaptive control boundary control distributed parameter system flexible riser partial differential equation

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Optimal time-delayed boundary control of beams using wavelets

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JOURNAL OF VIBRATION AND CONTROL 2013年第14期19卷 2083-2091页

作者： Kucuk, Ismail Sadek, Ibrahim Amer Univ Sharjah Dept Math & Stat Sharjah U Arab Emirates Yildiz Tech Univ Istanbul Turkey

Time delays exist in active control systems. Although a time delay in most cases is small, it results in the actuator applying energy to the control system with a time delay. This might cause instability of the dynamic systems and degrade the performance of the control systems. The objective of the present work is to propose a feasible methodology that can achieve good control performance for a dynamic beam structure system by time-delayed boundary torque actuators. The control problem is to determine optimal time-delayed boundary control by minimizing a given performance criterion. The performance criterion is specified as a weighted quadratic functional of the dynamic responses of the beam which is to be minimized at a specified terminal time using continuous time-delayed torque actuators. The modal expansion approach is used to convert the optimal control problem of a distributed parameter system into the optimal control problem of a linear lumped parameter system (LPS). A direct state-control parameterization approach is proposed where wavelets are employed to solve time-delayed LPS. The operational matrices of integration and delay are utilized to reduce the solution of linear time-varying delayed systems to the solution of algebraic equations. A numerical simulation is presented to illustrate the efficiency of the proposed control algorithm.

关键词： distributed parameter system legendre wavelets lumped parameter system optimal control parametrization

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Instrumental variable methods for identifying partial differential equation models

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INTERNATIONAL JOURNAL OF CONTROL 2013年第12期86卷 2325-2335页

作者： Schorsch, Julien Garnier, Hugues Gilson, Marion Young, Peter C. Univ Lorraine CRAN CNRS F-54519 Vandoeuvre Les Nancy France Univ Lancaster Lancaster Environm Ctr Syst & Control Grp Lancaster LA1 4YW England Australian Natl Univ Coll Med Biol & Environm Integrated Catchment Assessment & Management Ctr Canberra ACT Australia

This paper presents a refined instrumental variable method for identifying partial differential equation models of distributed parameter systems directly from discrete-time sampled input-output data. The proposed method is compared with conventional least-squares and other instrumental variable-based techniques. Monte Carlo simulation analysis results are presented to illustrate the effectiveness and superiority of the proposed method in the presence of additive output measurement noise and under different spatio-temporal sampling conditions.

关键词： system identification partial differential equation distributed parameter system continuous-time instrumental variable

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Approximate dynamic programming based control of hyperbolic PDE systems using reduced-order models from method of characteristics

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COMPUTERS & CHEMICAL ENGINEERING 2013年 57卷 122-132页

作者： Munusamy, Sudhakar Narasimhan, Sridharakumar Kaisare, Niket S. Indian Inst Technol Dept Chem Engn Madras 600036 Tamil Nadu India

Approximate dynamic programming (ADP) is a model based control technique suitable for nonlinear systems. Application of ADP to distributed parameter systems (DPS) which are described by partial differential equations is a computationally intensive task. This problem is addressed in literature by the use of reduced order models which capture the essential dynamics of the system. Order reduction of DPS described by hyperbolic PDEs is a difficult task as such systems exhibit modes of nearly equal energy. The focus of this contribution is ADP based control of systems described by hyperbolic PDEs using reduced order models. Method of characteristics (MOC) is used to obtain reduced order models. This reduced order model is then used in ADP based control for solving the set-point tracking problem. Two case studies involving single and double characteristics are studied. Open loop simulations demonstrate the effectiveness of MOC in reducing the order and the closed loop simulations with ADP based controller indicate the advantage of using these reduced order models. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Method of characteristics Approximate dynamic programming distributed parameter system Hyperbolic PDE Model based control

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A Spatial Weight Error Control for a Class of Hyper-Redundant Robots

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IEEE TRANSACTIONS ON ROBOTICS 2013年第4期29卷 1043-1050页

作者： Popescu, Nirvana Popescu, Decebal Ivanescu, Mircea Univ Politehn Bucuresti Dept Comp Sci Bucharest 060042 Romania Univ Craiova Dept Mechatron Craiova 200585 Romania

This paper treats the control problem of a class of hyper-redundant robots. The dynamic model of the arm is described by hyperbolic partial differential equations with uncertain components. By using a spatial weighted error control, the infinite dimensional system control becomes a finite-dimensional control problem. The stability analysis and the resulting controllers are obtained using the concept of boundary geometric control and a spatial weighted error control technique. A robust algorithm that is based on weighted error sliding mode control is discussed. The boundary tendon control determines the system evolution toward a prescribed switching surface, and in order to avoid the oscillations around the switching surface, a damping control determines a direct evolution, along the switching surface, toward the origin. Numerical simulations and experimental results are also provided to verify the effectiveness of the presented approach.

关键词： distributed parameter system hyper-redundant robot variable structure controller

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MATHEMATICAL MODEL OF THERMAL REACTION PROCESS FOR EXTERNAL HEATING EQUIPMENT IN THE MANUFACTURE OF SEMICONDUCTORS (PART I)

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INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL 2013年第4期9卷 1557-1571页

作者： Shirai, Kenji Amano, Yoshinori Omatu, Sigeru Niigata Univ Int & Informat Studies Fac Informat Culture Nishi Ku 3-1-1 Mizukino Niigata 9502292 Japan Kyohnan Elecs Co LTD Fushimi Ku Kyoto 6120029 Japan Osaka Inst Technol Fac Engn Asahi Ku Osaka 5358585 Japan

The new control system design for this process, which treats a heat source flowing model for an externally attached device is proposed. The equation of a distributed parameter system as a coupled system with the heat reaction process is presented. This paper proposes a lumped heating system to replace the distributed heating function with a time delay as a whole element. The model that is equivalent to a system in order to make possible practical devices is considered. This paper discusses the configuration of the linear model using the exact linearization method for the coupled system with external heating equipment.

关键词： Semiconductor manufacturing equipment Thermal reaction process External heating equipment distributed parameter system

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A Flexible MATLAB-based Simulation Framework for Dynamic Catenary-Pantograph Interaction and Co-Simulation 8

A Flexible MATLAB-based Simulation Framework for Dynamic Cat...

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8th EUROSIM Congress on Modelling and Simulation (EUROSIM)

作者： Schirrer, Alexander Talic, Emir Kozek, Martin Vienna Univ Technol Inst Mech & Mechatron A-1040 Vienna Austria

ISBN: (纸本)9780769550732

Accurate dynamic modeling and simulation of the catenary-pantograph interaction is required to develop and improve actively controlled pantographs for high-speed trains. Various methods have been investigated to satisfactorily solve the underlying mathematically, numerically, and computationally challenging partial differential equations. This paper proposes a flexible conceptual framework to formulate and solve the dynamic pantograph-catenary interaction problem by arbitrary approximation onsets and solvers. The proposed framework architecture greatly simplifies the comparison of different solution onsets as it separates physical problem definition, problem approximation and representation, as well as the generic solving task. First, the catenary-pantograph interaction problem is defined in a generic manner. Then, pre-processing steps cast the problem into a finite-dimensional system of ordinary differential equations with algebraic constraints. These are solved in time by suitable solvers and the results are post-processed. This toolchain is demonstrated by comparing selected numeric test results from a Finite Difference and a Fourier approximation onset.

关键词： distributed parameter system catenctiy partial differential algebraic system simulation

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Intelligent Modeling for Thermal Management of Cylindrical Lithium Ion Batteries

Intelligent Modeling for Thermal Management of Cylindrical L...

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International Conference on Fuzzy Theory and Its Applications (iFUZZY)

作者： Liu, Zhen Li, Han-Xiong City Univ Hong Kong Dept Syst Engn & Engn Management Hong Kong Hong Kong Peoples R China

ISBN: (纸本)9781479903863

Effective thermal management is crucial to the optimal operation of lithium ion batteries and its health management. Since only the surface temperature of battery can be measured, an accurate mathematical model describing the thermal process is needed to estimate the temperature distribution of batteries. Furthermore, the thermal behaviors of batteries are governed by complex chemical process whose parameters will degrade over time and different environment. Advanced identification algorithms should be developed for the model to be able to be updated in real time application. In this paper, a neural network based model is developed for thermal management of cylindrical lithium ion batteries. The relative identification algorithms are introduced. The developed model is simple enough for online thermal management, and numerical simulations demonstrate the effectiveness of the proposed model.

关键词： intelligent modeling distributed parameter system thermal management lithium ion battery

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Control of Billet Temperature Field by the Secondary Cooling in Continuous Casting of Steel

Control of Billet Temperature Field by the Secondary Cooling...

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International Conference on Process Control (PC)

作者： Ondrejkovic, Karol Noga, Pavol Tkac, Lukas Hulko, Gabriel Bucek, Pavol Slovak Univ Technol Bratislava Inst Automat Measurement & Appl Informat Nam Slobody 17 Bratislava 81231 Slovakia Zeleziarne Podbrezova Res & Dev Ctr Podbrezova 97681 Slovakia

ISBN: (纸本)9781479909261;9781479909278

The paper presents simulation study on control of temperature field of steel billet during continuous casting. The cooling of steel billet is controlled with secondary cooling zone - a set of water jets divided into independent sub zones. The temperature field evolution in time and space is described by non-linear partial differential equation. The solution of this equation is obtained numerically, using specialized finite element software ProCAST. Lumped-input and distributed-parameter-output system (LDS) is introduced, with the inputs being cooling water flow rates and the temperature field being the system's distributed output. Control synthesis in the system's feedback is solved in space and time direction. To represent the temperature field during setpoint changes a co-simulation interface was added to the DPS Blockset (Third-Party software product of The MathWorks). The interface block enables you to couple a finite element simulation in ProCAST and control scheme in Simulink. This feature brings you the full power of Simulink to extend the capabilities of finite element simulation.

关键词： continuous casting steel billet temperature field control lumped-input and distributed-output system distributed parameter system co-simulation

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