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On Modelling Approaches for Receding-Horizon Control Design Applied to Large-Scale Sewage Systems

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On Modelling Approaches for Receding-Horizon Control Design ...

Coordinating Multi-layer MPC for Complex Water Systems

Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference

作者： Carlos Ocampo-Martinez vicen? puig the Automatic Control Department Technical University of Catalonia(UPC)

In this paper, receding horizon control of largescale sewage systems is addressed considering different modelling approaches, which include several inherent continuous/discrete phenomena（overflows in sewers and tanks） and elements（weirs） in the *** fact results in distinct behaviours depending on the dynamic state（flow/volume） of the *** behaviours can not be neglected nor can be modelled by a pure linear *** order to take into account these phenomena and elements for the design of the control strategy, a modelling approach based on piece-wise linear functions（PWLF） is proposed and compared against a hybrid modelling approach previously reported by the *** performance results and associated computation times considering both modelling approaches are compared by using a real case study based on the Barcelona sewer *** have shown an important reduction in the computation time when the PWLF-based model is used, with an acceptable suboptimality level in the closed-loop system performance.

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Coordinating Multi-layer MPC for Complex Water Systems

Zonotopic Fault Detection Observer with H Performance

第26届中国控制与决策会议

作者： Congcong Sun vicen puig Gabriela Cembrano Advanced Control Systems Group at the Institut de Rob òtica i Informàtica Industrial Llorens i Artigas4-6BarcelonaSpain CETaqua Water Technology Centre at Esplugues 75Cornellà de LlobregatBarcelonaSpain

In this paper, coordinating technique for the multi-layer model predictive control（MPC） of complex water network is proposed. A multi-layer topology structure resulting from a functional decomposition of water network is briefly presented. Inside each layer, a MPC based controller is used. Between the related two layers, a multi-layer coordinating mechanism is provided to generate control strategies which consider objectives and time scales of both layers. Optimal Path Method（OPM） is used to estimate aggregated water price for the whole layer. The case study is the Catalunya Regional Water Network. Simulation results based on an aggregate model of this network are provided.

关键词： Multi-layer MPC Coordinating Mechanism OPM

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Zonotopic Fault Detection Observer with H Performance

Existence, Uniqueness and Functoriality of the Perfect Locality over a Frobenius P-Category

第36届中国控制会议

作者： Ye Wang Meng Zhou vicen puig Gabriela Cembrano Zhenhua Wang Institut de Robotica i Informatica Industrial(IRI) CSIC-UPCUniversitat Politecnica de Catalunya School of Astronautics Harbin Institute of Technology

This paper proposes a robust fault detection observer based on zonotopes for discrete-time uncertain systems with sensor faults and unknown but bounded *** main advantage of this method is that the observer gain of the robust zono topic observer is designed to be robust against bounded uncertainties while being sensitive to *** order to detect sensor faults with low magnitudes,the fault sensitivity is taken into account by measuring the *** designed zonotopic observer gain can be obtained by solving an optimization problem including a sequence of linear matrix inequalities(LMIs).Finally,an illustrative example is provided to demonstrate the proposed method.

关键词： Fault Detection Zonotopes H-Fault Sensitivity Linear Matrix Inequalities

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Algebra Colloquium 2016年第4期23卷 541-622页

作者： Lluis puig CNRS Institut de Mathematiques de Jussieu 6 Av Bizet 94340 Joinville-le-Pont France

Let p be a prime, P a finite p-group and F- a Frobenius P-category. The question on the existence of a suitable category L^scextending the full subcategory of F over the set of F-selfcentralizing subgroups of P goes back to Dave Benson in 1994. In 2002 Carles Broto, Ran Levi and Bob Oliver formulate the existence and the uniqueness of the category L^sc in terms of the annulation of an obstruction 3-cohomology element and of the vanishing of a 2-cohomology group, and they state a sufficient condition for the vanishing of these n-cohomology groups. Recently, Andrew Chermak has proved the existence and the uniqueness of L^sc via his objective partial groups, and Bob Oliver, following some of Chermak＇s methods, has also proved the vanishing of those n-cohomology groups for n 〉1, both applying the Classification of the finite simple groups. Here we give direct proofs of the existence and the uniqueness of L^sc; moreover, in [11] we already show that L^sc can be completed in a suitable category L extending F and we also prove some functoriality of this correspondence.

关键词： group Frobenius P-category locality

The Hecke Algebra of a Frobenius P-Category

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Algebra Colloquium 2014年第1期21卷 1-52页

作者： Lluis puig CNRS Institut de Mathematiques de Jussieu 6 Av Bizet 94340 Joinville-le-Pont France

We introduce a new avatar of a Frobenius P-category F under the form of a suitable subring HF of the double Burnside ring of P -- called the Hecke algebra of F- where we are able to formulate：（i） the generalization to a Frobenius P-category of the Alperin Fusion Theorem, （ii） the ＂canonical decomposition＂ of the morphisms in the exterior quotient of a Frobenius P-category restricted to the selfcentralizing objects as developed in chapter 6 of [4], and （iii） the ＂basic P × P-sets＂ in chapter 21 of [4] with its generalization by Kari Ragnarsson and Radu Stancu to the virtual P ×P-sets in [6]. We also explain the relationship with the usual Hecke algebra of a finite group.

关键词： finite group Frobenius category Hecke algebra Burnside ring

Categorizations of Limits of Grothendieck Groups over a Frobenius P-Category

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Algebra Colloquium 2022年第4期29卷 541-594页

作者： Lluis puig Carrer de La Cort 16 Vilafranca del PenedesFrance

In[Frobenius Categories Versus Brauer Blocks,Progress in Math.,274]and in[Ordinary Grothendieck groups of a Frobenius P-category,Algebra Colloq.18(2011)1-76],we consider suitable inverse limits of Grothendieck groups of categories of modules in characteristics p and zero,obtained from a folded Frobenius P-category(F,aut_(F)sc),which covers the case of the Frobenius P-categories associated with blocks;moreover,in[Beyond a question of Markus Linckelmann,***/abs/1507.04278]we show that a folded Frobenius P-category is actually equivalent to the choice of a regular central k^(*)-extension F^(SC) of F^(SC) ***,taking advantage of the existence of a perfect F^(SC) -locality P^(SC) we exhibit those inverse limits as the true Grothendieck groups of the categories of K_(*)G-and k_(*)G-modules for a suitable k_(*)-group G associated to the k^(*)-category P^(SC) obtained from P^(SC) and F^(SC) .It depends on a vanishing cohomology result,given with more generality intheAppendix.

关键词： Frobenius category Grothendieckgroup perfect locality

A Correction to the Uniqueness of a Partial Perfect Locality over a Frobenius P-Category

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Algebra Colloquium 2019年第4期26卷 541-559页

作者： Lluis puig Jiping Zhang CNRS Institut de Mathematiques de Jussieu 6 Av Bizet94340 Joinville-le-PontFrance 不详

Let p be a prime,P a finite p-group and F a Frobenius ***[Existcnee,uniqueness and functoriality of the perfect locality over a Frobenius P-category,Algebra Colloq.23(2016)541-622],we claimed the uniqueness of the partial perfect locality over any up-closed set X of J--selfcentralizing subgroups of P,but recently Bob Oliver exhibits some counter-cxamplcs,demanding some revision of our *** this note we show that,up to replacing the perfect localities by the extendable perfect localities over any up-closed set X of J7-selfcentralizing subgroups of P,our arguments are correct,still proving the existence and the uniqueness of the perfect J730-locality,since it is *** take advantage of this revision to simplify some of our arguments.

关键词： group P-category local structure

Production of metallic nanopowders(Mg,Al)by solar carbothermal reduction of their oxides at low pressure

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Journal of Magnesium and Alloys 2016年第2期4卷 140-150页

作者： J.puig M.Balat-Pichelin promes-cnrs laboratory 7 rue du four solaire66120 font-romeu odeillofrance

The carbothermal reduction of MgO and Al_(2)O_(3) in argon flow at low pressure allows to lower the onset temperature of metal vapor *** calculations indicate that metal formation begins at 1400 and 1700 K for a primary vacuum(1000 Pa),respectively,for Mg and *** the experimental section,concentrated solar energy was used for the process heating in order to favor energy *** products of the reaction between MgO or Al_(2)O_(3) and 2 varieties of carbon(graphite,carbon black)in flowing argon atmosphere at a total pressure of around 1000 to 1600 Pa were studied using X-ray diffraction,and microstructure observations revealed the formation of metallic nanopowders with some *** conversions close to 45 wt%and 52 wt%,respectively,for Mg and Al,were *** low conversion yield of the carbothermal reduction of MgO can be attributed to a backward reaction reforming MgO powder and to a sintering process between oxide particles at high *** production challenge is to avoid formation of undesired by-products:Al_(2)O,Al_(4)C_(3) and *** and weaknesses of the used process are described and some improvements are proposed to increase metallic yields.

关键词： Carbothermal reduction Thermodynamics Concentrated solar energy XRD Metallic nanopowders

Generalized Hamming weights and equivalences of codes

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Science China Mathematics 2003年第5期46卷 690-695页

作者：樊恽刘宏伟 Lluis puig Department of Mathematics Wuhan University. Wuhan 430072 Department of Mathematics Hubei University Wuhan 430062 China Department of Mathematics Wuhan University Wuhan 430072 Department of Mathematics Central China Normal University Wuhan 430079 China CNRS Universite de Paris 7 6 Avenue Bizet Joinville le Pont 94340 France

It is proved that any linear isomorphism between two linear codes which preserves a generalizedHamming weight is a monomial equivalence, which is an extension of a theorem of MacWilliams.

关键词： equivalence, generalized Hamming weight, isometry.