Fault‐tolerant model predictive control within the hybrid systems framework: Application to sewer networks

Ocampo‐Martínez, Carlos; Puig, Vicenç

doi:10.1002/acs.1099

Cited by 29 publications

(19 citation statements)

References 41 publications

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“…The control system described by Frier et al (2013) is set up such that the fallback to a lower level occurs automatically, whereas operator intervention is required to increase the level again (Bassø, 2016). Guerra et al (2007) and Ocampo-Martinez and Puig (2009b) constructed fault-tolerant control that can be applied in the MPC concept, making the control scheme more robust and able to detect and account for faults in system components such as the actuators.…”

Section: Control Hierarchiesmentioning

confidence: 99%

Model predictive control of urban drainage systems: A review and perspective towards smart real-time water management

Lund

Falk

Borup

et al. 2018

Critical Reviews in Environmental Science and Technology

137

108

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Model predictive control (MPC) can be used to manage combined urban drainage systems more efficiently for protection of human health and the environment, but examples of operational implementations are rare. This paper reviews more than 30 years of partly heterogeneous research on the topic. We propose a terminology for MPC of urban drainage systems and a hierarchical categorization where we emphasize four overall components: the "receding horizon principle", the "optimization model", the "optimization solver", and the "internal MPC model". Most of the reported optimization models share the trait of a multiobjective optimization based on a conceptual internal MPC model. However, there is a large variety of both convex and non-linear optimization models and optimization solvers as well as constructions of the internal MPC model. Furthermore, literature disagrees about the optimal length of the components in the receding horizon principle. The large number of MPC formulations and evaluation approaches makes it problematic to compare different MPC methods. This review highlights methods, challenges, and research gaps in order to make MPC of urban drainage systems accessible for researchers and practitioners from different disciplines. This will pave the way for shared understanding and further development within the field, and eventually lead to more operational implementations.

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Section: Control Hierarchiesmentioning

confidence: 99%

Model predictive control of urban drainage systems: A review and perspective towards smart real-time water management

Lund

Falk

Borup

et al. 2018

Critical Reviews in Environmental Science and Technology

137

108

View full text Add to dashboard Cite

show abstract

“…Motivated by this fact, in this paper, we address the problem of fault estimation and fault tolerant control for PWL systems. Fault tolerant control of PWL systems using model predictive control by means of mixed integer programming is investigated in [17]. A mixed logical dynamical modeling framework is used for modeling of hybrid systems and the problem is solved using mixed integer optimization.…”

Section: Introductionmentioning

confidence: 99%

Robust observer-based fault estimation and accommodation of discrete-time piecewise linear systems

Tabatabaeipour

Bak

2014

Journal of the Franklin Institute

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In this paper a new integrated observer-based fault estimation and accommodation strategy for discretetime piecewise linear (PWL) systems subject to actuator faults is proposed. A robust estimator is designed to simultaneously estimate the state of the system and the actuator fault. Then, the estimate of fault is used to compensate for the effect of the fault. By using the estimate of fault and the states, a fault tolerant controller using a PWL state feedback is designed. The observer-based fault-tolerant controller is obtained by the interconnection of the estimator and the state feedback controller. We show that separate design of the state feedback and the estimator results in the stability of the overall closed-loop system. In addition, the input-tostate stability (ISS) gain for the closed-loop system is obtained and a procedure for minimizing it is given. All of the design conditions are formulated in terms of linear matrix inequalities (LMI) which can be solved efficiently. Also, performance of the estimator and the state feedback controller are minimized by solving convex optimization problems. The efficiency of the method is demonstrated by means of a numerical example.

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“…In , an active FTC scheme based on MPC and FDI using a two‐stage Kalman filtering algorithm is proposed. The authors of embedded an active fault‐tolerant scheme on the basis of MPC within a hybrid system framework. A hybrid model of the system to be controlled including faulty modes is proposed, and then a fault‐tolerant hybrid MPC controller is designed.…”

Section: Introductionmentioning

confidence: 99%

Robust multiactuator fault‐tolerant MPC design for constrained systems

Yetendje

Serón

Doná

2012

Intl J Robust & Nonlinear

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SUMMARYIn this paper, we present a robust actuator fault‐tolerant control strategy for constrained linear systems in the presence of bounded state and input disturbances. The scheme is based on a bank of state estimators that match different fault situations that can occur in the system. A fault detection and isolation unit verifies that suitable residual variables lie inside pre‐computed sets and selects the estimate that matches the current plant behaviour. A bank of robustly stabilizing tube‐based model predictive control laws is designed, each associated to a fault scenario, and the appropriate controller is selected among them by using the information provided by the fault detection and isolation module. By means of ‘tubes’ of trajectories, we ensure robust closed‐loop exponential stability of the constrained system and good performance in the fault‐free case and under the occurrence of abrupt actuator faults, including actuator outage and loss of effectiveness by an unknown amount. Copyright © 2012 John Wiley & Sons, Ltd.

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Fault‐tolerant model predictive control within the hybrid systems framework: Application to sewer networks

Cited by 29 publications

References 41 publications

Model predictive control of urban drainage systems: A review and perspective towards smart real-time water management

Model predictive control of urban drainage systems: A review and perspective towards smart real-time water management

Robust observer-based fault estimation and accommodation of discrete-time piecewise linear systems

Robust multiactuator fault‐tolerant MPC design for constrained systems

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