Pressure Regulation in Nonlinear Hydraulic Networks by Positive and Quantized Controls

Persis, Claudio De; Kallesøe, Carsten Skovmose

doi:10.1109/tcst.2010.2094619

Cited by 56 publications

(62 citation statements)

References 36 publications

(63 reference statements)

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“…A hydraulic network can be modeled as a directed graph with edges corresponding to pipes, see e.g. [29,12]. The vertices may either correspond to connection points with fluid reservoirs (buffers), or merely to connection points of the pipes; we concentrate on the first case (the second case corresponding to a Kirchhoff-Dirac structue, cf.…”

Section: Hydraulic Networkmentioning

confidence: 99%

Port-Hamiltonian Systems on Graphs

Schaft

Maschke²

2013

SIAM J. Control Optim.

149

146

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In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is to associate with the incidence matrix of the graph a Dirac structure relating the flow and effort variables associated to the edges, internal vertices, as well as boundary vertices of the graph, and to formulate energy-storing or energy-dissipating relations between the flow and effort variables of the edges and internal vertices. This allows for state variables associated to the edges, and formalizes the interconnection of networks. Examples from different origins such as consensus algorithms are shown to share the same structure. It is shown how the identified Hamiltonian structure offers systematic tools for the analysis of the resulting dynamics. * A.J. van der Schaft is with the Johann

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Section: Hydraulic Networkmentioning

confidence: 99%

Port-Hamiltonian Systems on Graphs

Schaft

Maschke²

2013

SIAM J. Control Optim.

149

146

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“…As a consequence, the flow in the pipes can be accurately modeled by one-dimensional rigid water-column equations [13], which are derived from the Navier-Stokes equations after certain simplifications (see [10]) and are extensively used by researchers and practitioners [21,20,6]. According to this approach, the flow in every pipe equipped with a valve (see Figure 1) can be modeled bẏ…”

Section: Flow Modellingmentioning

confidence: 99%

“…This equation is well suited for the derivation of hydraulic control laws as explained below (see also [6]). …”

Section: Flow Modellingmentioning

confidence: 99%

Towards WaterLab

Tejada¹,

Horváth²,

Shiromoto³

et al. 2015

Proceedings of the 1st ACM International Workshop on Cyber-Physical Systems for Smart Water Networks

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This paper reports the initial steps in the development of WaterLab, an ambitious experimental facility for the testing of new cyber-physical technologies in drinking water distribution networks (DWDN). WaterLab's initial focus is on wireless control networks and on data-based, distributed anomaly detection over wireless sensor networks. The former can be used to control the hydraulic properties of a DWDN, while the latter can be used for in-situ detection and isolation of contamination and hydraulic faults.

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“…, n}, where ǫ i = y i − r i . The proof is omitted due to space limitation and it can be found in [12].…”

Section: B Quantized Controllersmentioning

confidence: 99%

Quantized pressure control in large-scale nonlinear hydraulic networks

Persis

Kallesøe

Jensen

2010

49th IEEE Conference on Decision and Control (CDC)

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It was shown previously that semi-global practical pressure regulation at designated points of a large-scale nonlinear hydraulic network is guaranteed by distributed proportional controllers. For a correct implementation of the control laws, each controller, which is located at these designated points and which computes the control law based on local information only (measured pressure drop), is required to transmit the control values to neighbor pumps, i.e. auxiliary pumps which are found along the same fundamental circuit. In this paper we show that quantized controllers can serve well to this purpose. Besides a theoretical analysis of the closed-loop system, we provide experimental results obtained in a laboratory district heating system. This approach is fully compatible with plugand-play control strategies.

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Pressure Regulation in Nonlinear Hydraulic Networks by Positive and Quantized Controls

Cited by 56 publications

References 36 publications

Port-Hamiltonian Systems on Graphs

Port-Hamiltonian Systems on Graphs

Towards WaterLab

Quantized pressure control in large-scale nonlinear hydraulic networks

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