1. bookVolumen 32 (2022): Heft 2 (June 2022)
    Towards Self-Healing Systems through Diagnostics, Fault-Tolerance and Design (Special section, pp. 171-269), Marcin Witczak and Ralf Stetter (Eds.)
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2083-8492
Erstveröffentlichung
05 Apr 2007
Erscheinungsweise
4 Hefte pro Jahr
Sprachen
Englisch
access type Uneingeschränkter Zugang

Reliability–Aware Zonotopic Tube–Based Model Predictive Control of a Drinking Water Network

Online veröffentlicht: 04 Jul 2022
Volumen & Heft: Volumen 32 (2022) - Heft 2 (June 2022)<br/>Towards Self-Healing Systems through Diagnostics, Fault-Tolerance and Design (Special section, pp. 171-269), Marcin Witczak and Ralf Stetter (Eds.)
Seitenbereich: 197 - 211
Eingereicht: 14 Nov 2021
Akzeptiert: 10 May 2022
Zeitschriftendaten
License
Format
Zeitschrift
eISSN
2083-8492
Erstveröffentlichung
05 Apr 2007
Erscheinungsweise
4 Hefte pro Jahr
Sprachen
Englisch
Abstract

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.

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