COMPENSATION OF THE EFFECT OF NONLINEAR FRICTION ON CONTROL SYSTEMS
DOI:
https://doi.org/10.15588/1607-3274-2009-2-26Abstract
The review of known compensation methods for a nonlinear friction effect on control systems is presented. It is assumed that only position signals are measured. The reduced algorithms that estimate an uncertainty vector and speeds for a control object are proposed. The compensation of the effect of the uncertainty vector is performed with a compound controller. The working capacity of the control algorithms is illustrated by a numerical simulation.
References
Armstrong-Helouvry B. A survey of models, analysis tools, and compensation methods for the control of machines with friction / B. Armstrong-Helouvry, P. Dupont, and C. Canudas de Wit // Automatica. - 1994. - Vol. 30, No. 7. - Pp. 1083-1138.
Canudas-de-Wit C. Novyy model dlya upravlinnya systemamy with friction / C. Canudas-de-Wit, H. Olsson, K.J. Astrom, and P. Lischinsky // IEEE Transactions on Automatic Control. - 1995. - Vol. 40. - Pp. 419-425.
Vedagarbha P. Tracking control of mekhanichnykh system in the presence of nonlinear dynamic friction effects / P. Vedagarbha, D. M. Dawson, i M. Feemster // IEEE Transactions on Control Systems Technology. - 1999. - Vol. 7, No. 4. - Pp. 446-456.
Hirschorn R. M. Control nonlinear systems with friction / R.M. Hirschorn, G. Miller // IEEE Transactions on Control Systems Technology. - 1999. - Vol. 7, No. 5. – Pp. 588-595.
Mallon N. Friction compensation v controlled one-link robot using a reduced-order observer / N. Mal lon, N. van de Wouw, D. Putra, i H. Nijmeijer // IEEE Transactions on Control Systems Technology. - 2006. – Vol. 14, No. 2. - Pp. 374-383.
Marton L. Modeling, identification, and compensation of stick-slip friction / L. Marton and B. Lantos // IEEE Transactions on Industrial Electronics. - 2007. - Vol. 54, No. 1. - Pp. 511–521.
Kostikov A. YU. Identyfikatsiya parametriv dynamichnoyi modeli tertya v elektropryvodakh tekhnolohichnykh mashyn / A. YU. Kostikov // Pratsi III Mizhnarodnoyi konferentsiyi «Identyfikatsiya system ta zavdannya upravlinnya» SICPROʺ04, Moskva, 28–30 sichnya 2004 - 2004. - S. 571-588.
Larin V. B. Pro kompensatsiyu neliniynoho tertya u robototekhnichnykh systemakh / V. B. Larin // Prykladna mekhanika. - 1996. - T 32, No. 5. - S. 69-74.
Yu-Feng Li. Sliding mode control of 2-mass positioning systemy / Yu-Feng Li, B. Eriksson and J. Wikander // 14th World Congress of IFAC, Beijing, P. R. China, 1999. - Paper C-2a-05-2. - Pp. 151-156.
Cho S.-I. A learning approach do Stick-Slip friction compensation / S.-I. Cho and I.-J. Ha // 14th Triennial World Congress of IFAC, Beijing, P. R. China. - 1999. - Pp. 169-174.
Shirazi L. R. Robust friction compensation based on Karnopp model/L.R. Shirazi, A. Besanzon-Voda // Proceedings of the ECC 2001, 4–7 September, 2001, Saminario de Vilar, Porto, Portugal. - 2001. - Pp. 2558-2563.
Vivas C. Gain-scheduling control of systems with dynamic friction/C. Vivas, F.R. Rubio, C. Canudas-de-Wit // Pros. Of the 41st IEEE Conf. on Decision and Control, Las Vegas, Nevada, USA, December, 2002. - Pp. 89-94.
Hung N. V. Q. Adaptive control for nonlinear parameterized uncertainties v robot manipulators / N. V. Q. Hung, H.D. Tuan, T. Narikiyo and P. Apkarian // Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada USA, December 2002. - 2002. - Pp. 1727-1732.
Grujic L. T. Control synthesis dlya robot motion robust exponential stability. Part 1: Modelling and synthesis / L. T. Grujic, A. Kokosy // In Pros. ofIFAC-IFIP-IMACS Conf. Control of Industrial Systems, Belfort, France, 20-22 May, 1997, Vol. 3. - Pp. 704-709.
Kokosy A. Control synthesis for robot motion robust exponential stability. Part 2: Application and simulations / A. Kokosy, L.T. Grujic // In Pros. of IFAC-IFIP-IMACS Conf. Control of Industrial Systems, Belfort, France, 20-22 May, 1997, Vol. 3. - Pp. 710-715.
Huang Chin-I. Adaptive backstepping speed/position control with friction compensation for linear induction motor/Chin-I. Huang i Li-Chen Fu / In Pros. of the 41 st IEEE Conf. on Decisionand Control, Las Vegas, Nevada, USA, December, 2002. - 2002. - TuM03-3. - Pp. 474-479.
Alonge F. Adaptive and robust techniques for friction compensation in motion control of robotic manipulators / F. Alonge, F.D'Ippolito, F.M. Raimondi// In Pros. of IFAC-IFIP-IMACS Conf. Control of Industrial Systems, Belfort, France, 20-22 May, 1997, Vol. 3. - Pp. 697-703.
Wen-Fang Xie. Sliding-mode-observer-based adaptive control for servo actuator with friction / Xie Wen-Fang // IEEE Transactions on Industrial Electronics. - 2007. - Vol. 54, No. 3. - Pp. 1517-1527.
Makker C. Lyapunov-bazovanyy keruvannya kontrolem v sensi ofuncertain nonlinear parameterizable friction / C. Makker, G. Hu, i W. E. Dixon // IEEE Transactions on Automatic Control. - 2007. - Vol. 52. - Pp. 1988-1994.
Maolin Jin. Robust compliant motion control of robot with nonlinear friction using time-delay estimation / Jin Maolin, Hoong Kang Sang, i Hun Chang Pyung // IEEE Transactions on Industrial Electronics. - 2008. - Vol. 55, No. 1. - Pp. 258-269.
Potapenko YE. M. Porivnyalʹna otsinka robastnykh system upravlinnya z riznymy typamy sposterihachiv / YE. M. Potapenko // Yzv. RAN. Teoriya ta systemy upravlinnya. - 1995. - № 1. - S. 109-117.
Potapenko Ye. M. Robastnoye upravleniye manevriruyushchim uprugim kosmicheskim apparatom / Ye. M. Potapenko, V. G. Bichay // Problemy upravleniya i informatiki. (Kiyev, NANU) – 1998. – № 4. – S. 72–85.
Potapenko Ye. M. Ob obshchnosti al'ternativnykh robastnykh sistem upravleniya / Ye. M. Potapenko, V. G. Bichay // Problemy upravleniya i informatiki (Kiyev, NANU). – 1998. – № 5. – S. 27–30.
Kvakernaak KH. Lineynyye optimal'nyye sistemy upravleniya / KH. Kvakernaak, R. Sivan. – M. : Mir, 1977. – 650 s.
Kuzovkov N. T. Modal'noye upravleniye i nablyudayushchiye ustroystva / N.T. Kuzovkov. – M. : Mashinostroyeniye, 1976. – 184 s.
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