### Abstract

Servo valve controlled hydraulic differential cylinders are non-linear, strongly coupled multivariable electromechanical systems. When the piston's velocity with respect to the cylinder is in the vicinity of zero the effect of adhesion is a significant effect due to which decreasing absolute value of velocity results in increasing stiction force. Furthermore, when the motion is initiated from equilibrium state of zero initial velocity adhesion can compensate arbitrary forces within certain limits keeping the piston almost fixed. This regime of friction can be modeled by some elastic deformation the deformable elements of which become disconnected over certain force limits. In the paper a concise application of the dynamic LuGre Model of friction is reported in which the effects of the elastic deformation, adhesion, and viscosity are combined with each other. To compensate the effect of the imprecisely known system parameters and unknown external forces an adaptive control is developed in which varying fractional order derivatives are used to reduce the hectic behavior of friction in the case of 'critical' trajectories that asymptotically converge to a fixed position and zero velocity. Simulation results made by INRIA's Scilab are presented. It is concluded that the combined application of the two adaptive techniques can result in accurate control if the LuGre model satisfactorily describes the reality.

Original language | English |
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Title of host publication | SISY 2006 - 4th Serbian-Hungarian Joint Symposium on Intelligent Systems |

Publisher | Serbian-Hungarian Joint Symposium on Intelligent Systems |

Pages | 361-374 |

Number of pages | 14 |

Publication status | Published - 2006 |

Event | 4th Serbian-Hungarian Joint Symposium on Intelligent Systems, SISY 2006 - Subotica, Serbia Duration: Sep 29 2006 → Sep 30 2006 |

### Other

Other | 4th Serbian-Hungarian Joint Symposium on Intelligent Systems, SISY 2006 |
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Country | Serbia |

City | Subotica |

Period | 9/29/06 → 9/30/06 |

### Fingerprint

### Keywords

- Adaptive control
- Dynamic friction
- Lugre friction model
- Nonlinear control

### ASJC Scopus subject areas

- Artificial Intelligence
- Human-Computer Interaction
- Control and Systems Engineering
- Electrical and Electronic Engineering
- Information Systems
- Software

### Cite this

*SISY 2006 - 4th Serbian-Hungarian Joint Symposium on Intelligent Systems*(pp. 361-374). Serbian-Hungarian Joint Symposium on Intelligent Systems.

**Adaptive control of a differential hydraulic cylinder with dynamic friction model.** / Tar, J.; Rudas, I.; Bitó, János F.; Kosuge, Kazuhiro.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*SISY 2006 - 4th Serbian-Hungarian Joint Symposium on Intelligent Systems.*Serbian-Hungarian Joint Symposium on Intelligent Systems, pp. 361-374, 4th Serbian-Hungarian Joint Symposium on Intelligent Systems, SISY 2006, Subotica, Serbia, 9/29/06.

}

TY - GEN

T1 - Adaptive control of a differential hydraulic cylinder with dynamic friction model

AU - Tar, J.

AU - Rudas, I.

AU - Bitó, János F.

AU - Kosuge, Kazuhiro

PY - 2006

Y1 - 2006

N2 - Servo valve controlled hydraulic differential cylinders are non-linear, strongly coupled multivariable electromechanical systems. When the piston's velocity with respect to the cylinder is in the vicinity of zero the effect of adhesion is a significant effect due to which decreasing absolute value of velocity results in increasing stiction force. Furthermore, when the motion is initiated from equilibrium state of zero initial velocity adhesion can compensate arbitrary forces within certain limits keeping the piston almost fixed. This regime of friction can be modeled by some elastic deformation the deformable elements of which become disconnected over certain force limits. In the paper a concise application of the dynamic LuGre Model of friction is reported in which the effects of the elastic deformation, adhesion, and viscosity are combined with each other. To compensate the effect of the imprecisely known system parameters and unknown external forces an adaptive control is developed in which varying fractional order derivatives are used to reduce the hectic behavior of friction in the case of 'critical' trajectories that asymptotically converge to a fixed position and zero velocity. Simulation results made by INRIA's Scilab are presented. It is concluded that the combined application of the two adaptive techniques can result in accurate control if the LuGre model satisfactorily describes the reality.

AB - Servo valve controlled hydraulic differential cylinders are non-linear, strongly coupled multivariable electromechanical systems. When the piston's velocity with respect to the cylinder is in the vicinity of zero the effect of adhesion is a significant effect due to which decreasing absolute value of velocity results in increasing stiction force. Furthermore, when the motion is initiated from equilibrium state of zero initial velocity adhesion can compensate arbitrary forces within certain limits keeping the piston almost fixed. This regime of friction can be modeled by some elastic deformation the deformable elements of which become disconnected over certain force limits. In the paper a concise application of the dynamic LuGre Model of friction is reported in which the effects of the elastic deformation, adhesion, and viscosity are combined with each other. To compensate the effect of the imprecisely known system parameters and unknown external forces an adaptive control is developed in which varying fractional order derivatives are used to reduce the hectic behavior of friction in the case of 'critical' trajectories that asymptotically converge to a fixed position and zero velocity. Simulation results made by INRIA's Scilab are presented. It is concluded that the combined application of the two adaptive techniques can result in accurate control if the LuGre model satisfactorily describes the reality.

KW - Adaptive control

KW - Dynamic friction

KW - Lugre friction model

KW - Nonlinear control

UR - http://www.scopus.com/inward/record.url?scp=84944144926&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84944144926&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84944144926

SP - 361

EP - 374

BT - SISY 2006 - 4th Serbian-Hungarian Joint Symposium on Intelligent Systems

PB - Serbian-Hungarian Joint Symposium on Intelligent Systems

ER -