Reconfigurable control of piecewise affine systems with actuator and sensor faults : stability and tracking

J.H. Richter, W.P.M.H. Heemels, N. Wouw, van de, J. Lunze

Research output: Contribution to journalArticleAcademicpeer-review

89 Citations (Scopus)
2 Downloads (Pure)

Abstract

A reconfigurable control approach for continuous-time piecewise affine (PWA) systems subject to actuator and sensor faults is presented. The approach extends the concept of virtual actuators and virtual sensors from linear to PWA systems on the basis of the fault-hiding principle that provides the underlying conceptual idea: the fault is hidden from the nominal controller and the fault effects are compensated. Sufficient linear matrix inequality (LMI) conditions for the existence of virtual actuators and virtual sensors are given that guarantee the recovery of closed-loop stability and the tracking of constant reference inputs. Since LMIs are efficiently solvable, this solution leads to a tractable computational algorithm that solves the reconfiguration problem. The approach is proven to be robust against model uncertainties and inaccurate fault diagnosis, and is evaluated using an example system of interconnected tanks. Keywords: Fault-tolerant control; Multivariable control systems; Piecewise affine systems; Actuator faults; Sensor faults; Control reconfigurability; Input-to-state stability; Tracking
Original languageEnglish
Pages (from-to)678-691
Number of pages14
JournalAutomatica
Volume47
Issue number4
DOIs
Publication statusPublished - 2011

Fingerprint

Actuators
Sensors
Multivariable control systems
Linear matrix inequalities
Failure analysis
Recovery
Controllers

Cite this

@article{78533b33361a441485624b3db4b0e58e,
title = "Reconfigurable control of piecewise affine systems with actuator and sensor faults : stability and tracking",
abstract = "A reconfigurable control approach for continuous-time piecewise affine (PWA) systems subject to actuator and sensor faults is presented. The approach extends the concept of virtual actuators and virtual sensors from linear to PWA systems on the basis of the fault-hiding principle that provides the underlying conceptual idea: the fault is hidden from the nominal controller and the fault effects are compensated. Sufficient linear matrix inequality (LMI) conditions for the existence of virtual actuators and virtual sensors are given that guarantee the recovery of closed-loop stability and the tracking of constant reference inputs. Since LMIs are efficiently solvable, this solution leads to a tractable computational algorithm that solves the reconfiguration problem. The approach is proven to be robust against model uncertainties and inaccurate fault diagnosis, and is evaluated using an example system of interconnected tanks. Keywords: Fault-tolerant control; Multivariable control systems; Piecewise affine systems; Actuator faults; Sensor faults; Control reconfigurability; Input-to-state stability; Tracking",
author = "J.H. Richter and W.P.M.H. Heemels and {Wouw, van de}, N. and J. Lunze",
year = "2011",
doi = "10.1016/j.automatica.2011.01.048",
language = "English",
volume = "47",
pages = "678--691",
journal = "Automatica",
issn = "0005-1098",
publisher = "Agon Elsevier",
number = "4",

}

Reconfigurable control of piecewise affine systems with actuator and sensor faults : stability and tracking. / Richter, J.H.; Heemels, W.P.M.H.; Wouw, van de, N.; Lunze, J.

In: Automatica, Vol. 47, No. 4, 2011, p. 678-691.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Reconfigurable control of piecewise affine systems with actuator and sensor faults : stability and tracking

AU - Richter, J.H.

AU - Heemels, W.P.M.H.

AU - Wouw, van de, N.

AU - Lunze, J.

PY - 2011

Y1 - 2011

N2 - A reconfigurable control approach for continuous-time piecewise affine (PWA) systems subject to actuator and sensor faults is presented. The approach extends the concept of virtual actuators and virtual sensors from linear to PWA systems on the basis of the fault-hiding principle that provides the underlying conceptual idea: the fault is hidden from the nominal controller and the fault effects are compensated. Sufficient linear matrix inequality (LMI) conditions for the existence of virtual actuators and virtual sensors are given that guarantee the recovery of closed-loop stability and the tracking of constant reference inputs. Since LMIs are efficiently solvable, this solution leads to a tractable computational algorithm that solves the reconfiguration problem. The approach is proven to be robust against model uncertainties and inaccurate fault diagnosis, and is evaluated using an example system of interconnected tanks. Keywords: Fault-tolerant control; Multivariable control systems; Piecewise affine systems; Actuator faults; Sensor faults; Control reconfigurability; Input-to-state stability; Tracking

AB - A reconfigurable control approach for continuous-time piecewise affine (PWA) systems subject to actuator and sensor faults is presented. The approach extends the concept of virtual actuators and virtual sensors from linear to PWA systems on the basis of the fault-hiding principle that provides the underlying conceptual idea: the fault is hidden from the nominal controller and the fault effects are compensated. Sufficient linear matrix inequality (LMI) conditions for the existence of virtual actuators and virtual sensors are given that guarantee the recovery of closed-loop stability and the tracking of constant reference inputs. Since LMIs are efficiently solvable, this solution leads to a tractable computational algorithm that solves the reconfiguration problem. The approach is proven to be robust against model uncertainties and inaccurate fault diagnosis, and is evaluated using an example system of interconnected tanks. Keywords: Fault-tolerant control; Multivariable control systems; Piecewise affine systems; Actuator faults; Sensor faults; Control reconfigurability; Input-to-state stability; Tracking

U2 - 10.1016/j.automatica.2011.01.048

DO - 10.1016/j.automatica.2011.01.048

M3 - Article

VL - 47

SP - 678

EP - 691

JO - Automatica

JF - Automatica

SN - 0005-1098

IS - 4

ER -