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Reliability-aware zonotopic tube-based model predictive control of a drinking water network

Khoury Boutrous, Nejjari Fatiha, Puig Vicenç

International Journal of Applied Mathematics and Computer Science

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2022

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Vol. 32, no. 2

197--211

EN

A robust economic model predictive control approach that takes into account the reliability of actuators in a network is presented for the control of a drinking water network in the presence of uncertainties in the forecasted demands required for the predictive control design. The uncertain forecasted demand on the nominal MPC may make the optimization process intractable or, to a lesser extent, degrade the controller performance. Thus, the uncertainty on demand is taken into account and considered unknown but bounded in a zonotopic set. Based on this uncertainty description, a robust MPC is formulated to ensure robust constraint satisfaction, performance, stability as well as recursive feasibility through the formulation of an online tube-based MPC and an accompanying appropriate terminal set. Reliability is then modelled based on Bayesian networks, such that the resulting nonlinear function accommodated in the optimization setup is presented in a pseudo-linear form by means of a linear parameter varying representation, mitigating any additional computational expense thanks to the formulation as a quadratic optimization problem. With the inclusion of a reliability index to the economic dominant cost of the MPC, the network users’ requirements are met whilst ensuring improved reliability, therefore decreasing short and long term operational costs for water utility operators. Capabilities of the designed controller are demonstrated with simulated scenarios on the Barcelona drinking water network.

2

Pomiary dynamiczne - czy to się opłaca?

Howiacki T., Sieńko R.

Builder

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2018

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R.22, nr 10

66--68

PL

Instalacja systemów monitorowania dynamicznego w czasie budowy generującej drgania wiąże się z wieloma praktycznymi korzyściami, ale także z koniecznością poniesienia pewnych nakładów. Z pewnością koszty związane z wystąpieniem awarii istniejących obiektów będą zawsze większe od kosztów samego systemu, którego zadaniem jest wczesne ostrzeganie o zagrożeniach. Jednak w celu podejmowania optymalnych decyzji inwestycyjnych, konieczne jest uwzględnienie teorii prawdopodobieństwa i niezawodności konstrukcji.

EN

Installation of dynamic structural health monitoring systems during construction generating vibrations is associated with many practical benefits but also with the necessity of some expenses. Certainly, the costs associated with the failures of existing facilities will always be higher than the costs of the system itself, which task is to provide early warning of hazards. However, in order to make optimal investment decisions, it is necessary to consider the theory of probability and structural reliability.

3

Assessment of accident severity in the construction industry using the Bayesian theorem

Alizadeh S. S., Mortazavi S. B., Sepehri M. M.

International Journal of Occupational Safety and Ergonomics

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2015

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Vol. 21, No. 4

551--557

EN

Aim: Construction is a major source of employment in many countries. In construction, workers perform a great diversity of activities, each one with a specific associated risk. The aim of this paper is to identify workers who are at risk of accidents with severe consequences and classify these workers to determine appropriate control measures. Methods: We defined 48 groups of workers and used the Bayesian theorem to estimate posterior probabilities about the severity of accidents at the level of individuals in construction sector. First, the posterior probabilities of injuries based on four variables were provided. Then the probabilities of injury for 48 groups of workers were determined. Results: With regard to marginal frequency of injury, slight injury (0.856), fatal injury (0.086) and severe injury (0.058) had the highest probability of occurrence. It was observed that workers with <1 year's work experience (0.168) had the highest probability of injury occurrence. The first group of workers, who were extensively exposed to risk of severe and fatal accidents, involved workers ≥50 years old, married, with 1–5 years' work experience, who had no past accident experience. Conclusion: The findings provide a direction for more effective safety strategies and occupational accident prevention and emergency programmes.

4

Interpretacja sondowań dylatometrycznych (DMT) z wykorzystaniem analizy bayesowskiej

Rabarijoely S., Jabłonowski S., Falkowski T., Garbulewski K.

Przegląd Geologiczny

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2008

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Vol. 56, nr 4

322-329

EN

Almost 250 years ago, T. Bayes outlined a statistical method which has become increasingly apparent and it allows scientists to combine new data with their existing knowledge and explained how should change beliefs in the light of new evidence. The paper addresses the applicability of Bayesian approach to the interpretation of DMT investigation carried out on the Campus SGGW at Warsaw. The first part of paper focuses on the geological and geotechnical conditions in the campus area and the theoretical foundation of Bayesian approach. The second part of paper includes the DMT tests with statistical analysis of soil parameters obtained. Finally, the application of Bayesian theory determines the distribution of characteristic DMTindexes in two geological layers of the SGGW Campus foundation. Examples of applying the Bayesian analysis demonstrate that it is a powerful and promising statistical tool in decision-making processes related to the selection of soil parameters in geotechnical design.