Passivity based control of transport reaction systems

Ruszkowski, Martin; Garcia-Osorio, Vianey; Ydstie, B. Erik

doi:10.1002/aic.10543

Cited by 77 publications

(54 citation statements)

References 51 publications

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“…The basic ingredients of the theory have been established by Alonso and Ydstie (1996) and Ydstie and Alonso (1997) in the context of passive control design and control of distributed systems (Alonso and Ydstie, 2001), and transport reaction systems (Ruszkowski et al, 2005). A similar line of arguments was employed by Farschman et al (1998) to derive mass and energy inventory control concepts.…”

Section: Introductionmentioning

confidence: 99%

A systematic approach to plant-wide control based on thermodynamics

Antelo

Otero-Muras

Banga

et al. 2007

Computers & Chemical Engineering

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In this work, a systematic approach to plant-wide control design is proposed. The method combines ingredients from process networks, thermodynamics and systems theory to derive robust decentralized controllers that will ensure complete plant stability. As a first step, the considered process system is decomposed into abstract mass and energy inventory networks. In this framework, conceptual inventory control loops are then designed for the mass and energy layers to guarantee that the states of the plant, both in terms of extensive and intensive properties, will converge to a compact convex region defined by constant inventories. This result by itself does not ensure the convergence of intensive variables to a desired operation point as complex dynamic phenomena such as multiplicities may appear in the invariant set. In order to avoid these phenomena, thermodynamics naturally provides the designer, in these convex regions, with a legitimate storage or Lyapunov function candidate, the entropy, that can be employed to ensure global stability. Based on this, the control structure design procedure is completed with the realization of the conceptual inventory and intensive variable control loops over the available degrees of freedom in the system. To that purpose, both PI and feedback linearization control are employed. The different aspects of the proposed methodology will be illustrated on a non-isothermal chemical reaction network.

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Section: Introductionmentioning

confidence: 99%

A systematic approach to plant-wide control based on thermodynamics

Antelo

Otero-Muras

Banga

et al. 2007

Computers & Chemical Engineering

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“…To find a Lyapunov function for thermodynamic systems is much harder. This problem was studied in detail by Ydstie, Alonso and coworkers, who made various suggestions on how to choose Lyapunov functions for chemical processes [10], [11], [12]. These techniques M. Mangold are applied here to a spatially distributed fuel cell model.…”

Section: Introductionmentioning

confidence: 98%

Control of a PEM fuel cell based on a distributed model

Mangold

2010

Proceedings of the 2010 American Control Conference

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To perform load changes in proton exchange membrane (PEM) fuel cells is a challenging task, because PEM fuel cells typically show a strongly nonlinear behavior. Especially the water management of low temperature PEM fuel cells is challenging. In this work, a nonlinear controller is presented that is able to keep the water content and the temperature of a PEM fuel cell on constant levels even under strong changes of the electrical load. A passive controller design based on a spatially distributed fuel cell model is used. The controller is tested in simulations. It is compared with a conventional linear control approach.

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“…(e.g., see [9], [10], [11] and the references therein), the development of systematic methods for the diagnosis and handling of faults in distributed control systems has received limited attention. Examples of earlier works in this direction include the development of fault detection schemes using approximate linear models (e.g., [12], [13]) and the use of hybrid system formulations to develop stability-based and performance-based controller reconfiguration strategies to compensate for faults (e.g., [14]).…”

Section: Introductionmentioning

confidence: 99%

Robust diagnosis and fault-tolerant control of uncertain distributed processes with limited measurements

Ghantasala

El‐Farra

2008

2008 American Control Conference

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This work develops a robust fault detection and isolation (FDI) and fault-tolerant control (FTC) structure for distributed processes modeled by nonlinear parabolic PDEs with control constraints, time-varying uncertain variables and a finite number of output measurements with limited accuracy. To facilitate the controller synthesis and fault diagnosis tasks, a finite-dimensional system that approximates the dominant dynamic modes of the PDE is initially derived and transformed to a form where each dominant mode is excited directly by only one actuator. A robustly stabilizing bounded output feedback controller is then designed for each dominant mode. The controller synthesis procedure facilitates the derivation of (1) an explicit characterization of the fault-free behavior of each mode in terms of a time-varying bound on the dissipation rate of the corresponding Lyapunov function which accounts for the uncertainty and measurement errors, and (2) an explicit characterization of the robust stability region where constraint satisfaction and robustness with respect to uncertainty and measurement errors are guaranteed. Using the fault-free Lyapunov dissipation bounds as thresholds for FDI, the detection and isolation of faults in a given actuator is accomplished by monitoring the evolution of the dominant modes within the corresponding stability region and declaring a fault when the threshold is exceeded. Robustness of the FDI scheme to measurement errors is ensured by confining the FDI region to an appropriate subset of the stability region, and enlarging the FDI thresholds appropriately. It is shown that these safeguards can be tuned by appropriate selection of the sensor configuration. Finally, the implementation of the FTC architecture on the infinite-dimensional system is discussed and the proposed methodology is demonstrated using a diffusion-reaction process example.

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Passivity based control of transport reaction systems

Cited by 77 publications

References 51 publications

A systematic approach to plant-wide control based on thermodynamics

A systematic approach to plant-wide control based on thermodynamics

Control of a PEM fuel cell based on a distributed model

Robust diagnosis and fault-tolerant control of uncertain distributed processes with limited measurements

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