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54th IEEE Conference on Decision and Control (CDC)

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

ISBN: (纸本)9781479978861

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： distributed parameter systems synchronization controllers networked systems leader selection

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Robust Control of Temperature Field in Continuous Casting Process as distributed parameter systems 20

Robust Control of Temperature Field in Continuous Casting Pr...

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20th International Conference on Process Control (PC)

作者： Belavy, Cyril Hulko, Gabriel Ondrejkovic, Karol Kubis, Milan Bartalsky, Lukas Slovak Univ Technol Bratislava Inst Automat Measurement & Appl Informat Fac Mech Engn Nam Slobody 17 Bratislava 81231 Slovakia

ISBN: (纸本)9781467366274

In the paper, the robust control of temperature fields in the secondary cooling zone of the continuous casting process is presented. Temperature fields are represented by dynamic models in the form of a finite-dimensional approximation of distributed parameter systems. Models are created by means of validated finite element method modelling. The control synthesis is decomposed to the time and space domain. For the control synthesis with internal model control structure in the time domain, an uncertainty of the controlled system is considered and robust controllers are designed.

关键词： distributed parameter systems uncertainty robust control temperature field continuous casting process

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Model-Based Actuator Fault Accommodation for distributed parameter systems Represented by Coupled Linear PDEs

Model-Based Actuator Fault Accommodation for Distributed Par...

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IEEE Conference on Control and Applications (CCA)

作者： Cai, Jia Ferdowsi, Hasan Jagannathan, S. Missouri Univ Sci & Technol Dept Elect & Comp Engn Rolla MO 65401 USA

ISBN: (纸本)9781479977871

A model-based fault detection and accommodation scheme is introduced for a class of distributed parameter systems (DPS) described by coupled partial differential equations (PDEs). Actuator faults at the boundary condition arc considered. A detection observer is proposed based on the linear PDE representation of the DPS by assuming that the state information is available. Upon detecting a fault, an adaptive term is added to the observer to estimate the fault parameter vector which is utilized for fault accommodation by reconfiguring the control input. An update law is proposed to estimate the unknown fault parameter vector. An explicit formula is proposed to estimate the time-to-accommodation (TTA) by using the parameter vector. Finally, an example to demonstrate the effectiveness of the proposed scheme is included.

关键词： Fault detection acconurwdation distributed parameter systems partial differential equations

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Adaptive Control of Chemical distributed parameter systems ∗

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IFAC-PapersOnLine 2015年第8期48卷 681-686页

作者： Davood Babaei Pourkargar Antonios Armaou Department of Chemical Engineering The Pennsylvania State University University Park PA 16802 USA

The adaptive output feedback control problem of chemical distributed parameter systems is investigated while the process parameters are unknown. Such systems can be usually modeled by semi-linear partial differential equations (PDEs). A combination of Galerkin's method and proper orthogonal decomposition is applied to generate a reduced order model which captures the dominant dynamic behavior of the system and can be used as the basis for Lyapunov-based adaptive controller design. The proposed control method is illustrated on thermal dynamics regulation in a tubular chemical reactor where the temperature spatiotemporal dynamic behavior is modeled in the form of a semi-linear PDE.

关键词： distributed parameter systems adaptive control model reduction output feedback partial differential equations Lyapunov stability process control

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Robust Control of Temperature Fields in Steel Casting Mould as distributed parameter systems

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IFAC-PapersOnLine 2015年第14期48卷 408-413页

作者： C. Belavý G. Hulkó L. Bartalský M. Kubiš Slovak University of Technology in Bratislava Faculty of Mechanical Engineering Institute of Automation Measurement and Applied Informatics Nám. Slobody 17 812 31 Bratislava Slovak Republic Tel: ++421 25249 5315

In the paper, modelling and robust control of temperature fields of the casting mould in the benchmark casting plant is presented. Temperature fields are supposed as distributed parameter systems with dynamic described by partial differential equations. Based on finite element method modelling, models for control synthesis purpose in the form of lumped-input/distributed-output system are created. For this representation, uncertainty of the controlled system was considered and robust control synthesis with internal model control structure was designed. Robust control of the temperature fields in the casting mould was carried out using the distributed parameter systems Blockset for MATLAB & Simulink.

关键词： distributed parameter systems lumped-input/distributed-output system uncertainty robust control internal model control temperature field casting mould

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State estimation for boundary-coupled parabolic distributed parameter systems using spatial averages

State estimation for boundary-coupled parabolic distributed ...

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Asian Control Conference

作者： Daisuke Tsubakino Yuh Yamashita Graduate School of Information Science and Technology Hokkaido University

ISBN: (纸本)9781479978632

This paper proposes an indirect method for designing a Luenberger-type state observer for systems described by boundary-coupled two parabolic partial differential equations. In particular, we concentrate on the case where outputs are spatial averages of the state variables. The proposed method consists of two steps. We first introduce a state transformation that converts the system into another system with boundary measurement. Then, the backstepping approach can provide a state observer for the converted system. An estimate of the original state variables is constructed through the inverse transformation. The performance of the proposed observer is confirmed by a numerical simulation.

关键词： State variable State estimation Observers State Change distributed parameter systems Indirect Method numerical simulation

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Actuator location optimization in synchronization control of networked distributed parameter systems

Actuator location optimization in synchronization control of...

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American Control Conference

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

ISBN: (纸本)9781479917730

This work examines the effects of actuator location in networked distributed parameter systems. In particular, the effects of the optimal actuator location for one networked system can impact the collective behavior of the networked systems. The actuator optimization cannot be performed on the individual networked systems, but must be considered for the aggregate of the networked systems. To tackle the actuator optimization problem, the networked systems are viewed collectively and with the implementation of a synchronization controller, the resulting closed-loop aggregate system is parameterized by the actuator location. Using different metrics for the success of synchronization, the resulting actuator optimization problem is recast as a minimization of a performance index. The solution to this optimization is expressed as the minimization of the trace of a location-parameterized Lyapunov operator. Simulation studies on seven networked diffusion partial differential equations in one spatial dimension reveal the effects of a correct actuator placement on synchronization.

关键词： actuators Synchronous control distributed parameter systems performance indicators

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Geometric Control of Bilinear distributed parameter systems

Geometric Control of Bilinear Distributed Parameter Systems

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International Conference on Electrical Engineering

作者： Nouara HABRACHE Ahmed MAIDI Laboratoire de Conception et de Conduite des Systemes de Production (L2CSP) Universite Mouloud MAMMERI de Tizi-Ouzou

ISBN: (纸本)9781467366748

This paper addresses the geometric control of a coupled bilinear distributed parameter systems. The objective is to control a boundary output by manipulating a selected manipulated variable. The design, based on the characteristic index concept, yields an infinite dimensional control law which enhances the performance in closed-loop. The effectiveness of the geometric control law developed is demonstrated by simulation in the case of a co-current heat exchanger. In this application, the objective is to control the outlet temperature of the cold fluid by manipulating its velocity.

关键词： Heating Indexes Mathematical model distributed parameter systems Controllability Electron tubes

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A simple observer scheme for a class of 1-D semi-linear parabolic distributed parameter systems

A simple observer scheme for a class of 1-D semi-linear para...

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European Control Conference (ECC)

作者： Alexander Schaum Jaime A. Moreno Jesus Alvarez Thomas Meurer The Chair of Automatic Control Christian Albrechts University Kiel Germany The Instituto de Ingenieria Universidad Nacional Autonoma de Mexico Mexico The Departamento de Procesos e Hidraulica Universidad Autonoma Metropolitana - Iztapalapa Mexico Automatic Control Christian Albrechts University Kiel Germany

In this paper, a simple observer design scheme is proposed for a class of 1-D semi-linear parabolic distributed parameter systems with in-domain measurement. The main idea of the design resides in imposing the measurement on the observer dynamics in a similar way as it is done in the finite-dimensional reduced order observer design. For the distributed system this is achieved through an additional algebraic constraint in the domain instead of an output injection mechanism. Correspondingly, the observer convergence is not induced by the correction scheme, but by the sensor location and the system parameters, and thus amounts on the underlying detectability property rather than the system observability. Possible applications to the case of unknown inputs are discussed. The proposed estimation approach is illustrated and tested through simulations with two representative examples: an unstable diffusive linear system with Dirichlet boundary conditions, and a stable isothermal single-species nonlinear tubular reactor with non-monotonic kinetics and Robin-Newman (i.e., Danckwerts) boundary conditions.

关键词： Observers Eigenvalues and eigenfunctions Boundary conditions Convergence Mathematical model distributed parameter systems Inductors

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Feedback control of semi-linear distributed parameter systems using advanced POD method

Feedback control of semi-linear distributed parameter system...

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IEEE Annual Conference on Decision and Control

作者： Manda Yang Antonios Armaou Department of Chemical Engineering The Pennsylvania State University University Park PA 16802 USA

ISBN: (纸本)9781479978878

We focus on the control of dissipative distributed parameter systems employing passthrou proper orthogonal decomposition (Passthrou POD) method. The objective of the approach is to develop a model order reduction and control method that is robust to model uncertainty and disturbances and relaxes some of the requirements of standard POD. The proposed method is successfully applied to regulate a representative diffusion-reaction process. To assess the performance of passthrou POD, both passthrou POD and standard POD are used to construct low dimensional reduced order models (ROMs). Linear feedback controllers and nonlinear dynamic observers are subsequently designed based on the obtained ROMs. Simulation results illustrate that passthrou POD method is more efficient and robust to model uncertainty, disturbances and ensemble construction.

关键词： Eigenvalues and eigenfunctions Standards Observers Robustness Mathematical model Process control distributed parameter systems

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