Actuator fault tolerance evaluation approach of nonlinear model predictive control systems using viability theory

In this paper, an approach to evaluate the actuator fault tolerance of a nonlinear model predictive control (NMPC) system using viability theory is proposed. Viability theory provides several concepts formulated in a set form (viability kernel and capture basin) that are very useful to assess if aft...

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Bibliographic Details
Authors: Zarch, Majid Ghaniee, Puig, Vicenç, Poshtan, Javad, Shoorehdeli, Mahdi Aliyari
Format: article
Status:Versión aceptada para publicación
Publication Date:2018
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/179708
Online Access:http://hdl.handle.net/10261/179708
Access Level:Open access
Keyword:Fault tolerance evaluation
Viability theory
Set invariance theory
Model predictive control
Linear parameter varying system
Description
Summary:In this paper, an approach to evaluate the actuator fault tolerance of a nonlinear model predictive control (NMPC) system using viability theory is proposed. Viability theory provides several concepts formulated in a set form (viability kernel and capture basin) that are very useful to assess if after the fault the NMPC controller will be able to achieve their goal either using a reconfiguration or an accommodation strategy. By representing the nonlinear model of the system in a linear parameter varying (LPV) form and using zonotopes to evaluate viability sets, an algorithm is developed and implemented that is able to assess the tolerance of the NMPC controller. To illustrate the proposed approach two application examples based on well-known control problems (a pasteurization plant and a mobile robot) are used.