Convex Fault Diagnosis of a Three-Degree-of-Freedom Mechanical Crane

Julio Guzmán-Rabasa, Francisco Rodríguez, Guillermo Valencia-Palomo (), Ildeberto Santos-Ruiz, Samuel Gómez-Peñate and Francisco-Ronay López-Estrada ()
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Julio Guzmán-Rabasa: TURIX Diagnosis and Control Group, Tecnológico Nacional de México, IT Hermosillo, Av. Tecnológico 115, Hermosillo 83170, Mexico
Francisco Rodríguez: TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico
Guillermo Valencia-Palomo: TURIX Diagnosis and Control Group, Tecnológico Nacional de México, IT Hermosillo, Av. Tecnológico 115, Hermosillo 83170, Mexico
Ildeberto Santos-Ruiz: TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico
Samuel Gómez-Peñate: TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico
Francisco-Ronay López-Estrada: TURIX Diagnosis and Control Group, Tecnológico Nacional de Mexico, IT Tuxtla Gutiérrez, Carretera Panamericana km 1080, SN, Tuxtla Gutierrez 29050, Mexico

Mathematics, 2023, vol. 11, issue 20, 1-15

Abstract: This paper presents a fault detection and estimation method based on a proportional-integral observer applied to a three-degree-of-freedom mechanical crane. Faults are common in this system and can provoke oscillations that generate a loss of performance and stability. A convex linear parameter varying approach is proposed to stabilize the crane and detect and isolate actuator faults to guarantee the crane’s performance. The linear matrix inequalities obtained from candidate Lyapunov functions give sufficient conditions to guarantee the fault estimation method. Finally, numerical simulations are proposed to illustrate the method’s performance and applicability.

Keywords: mechanical crane; convex system; fault estimation; fault diagnosis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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