Artículos de revistas
Closed-loop Quantification And Compensation Of Friction In An Inverted Pendulum
Registro en:
Journal Of Control, Automation And Electrical Systems. , v. 24, n. 6, p. 794 - 805, 2013.
21953880
10.1007/s40313-013-0073-7
2-s2.0-84892164389
Autor
Teixeira H.T.
De Mattos Siqueira V.S.
Munaro C.J.
Institución
Resumen
In this paper, different approaches for friction estimation and compensation in an inverted pendulum are compared. The Coulomb, static, and viscous frictions are estimated using data only from a closed-loop operation. A control law using linear state feedback is designed to stabilize the pendulum, but limit cycles appear due to friction. Methods based on fitting an ellipse to the input-output plot and using least squares with the Karnopp friction model are employed to estimate the friction parameters to be used with the frictionmodels considered. The values are then compared to those obtained in open-loop tests, obtained via application of a ramp of current to the motor of the cart. Friction compensation is carried out using the friction values in two strategies:model based compensation using theKarnopp and LuGre friction models and non-model based compensation using the knocker and constant reinforcement techniques. While model-based methods use the sign of the velocity to change the sign of the compensation, the non-model- based methods use the sign of the control signal for this decision, with an anticipatory action. Both strategies are compared through their application to a simulation model and to a real inverted pendulum, using the IAE and variance of position and angle for performance measurement. This comparison and the analysis about the difficulty for estimating the parameters to be used for each compensation indicate the best scheme for estimation and compensation method to be used for this benchmark. © Brazilian Society for Automatics-SBA 2013. 24 6 794 805 Campbell, S.A., Crawfoord, S., Morris, K., Friction and the inverted pendulum (2008) Journal of Dynamic Systems, Measurement and Control, 130, pp. 54502-54509 Choudhury, M.A.A.S., Shah, S.L., Thornhill, N.F., Shook, D.S., Automatic detection and quantification of stiction in control valves (2006) Control Engineering Practice, 14, pp. 1395-1412 Cuadros, M.A.S.L., Munaro, C.J., Munareto, S., An improved algorithm for automatic quantification of valve stiction in flow control loops (2010) Proceedings of the IEEE International Conference on Industrial Technology, pp. 135-140 Cuadros, M.A.S.L., Munaro, C.J., Munareto, S., A novel model free approach for stiction compensation in control valves (2012) Industrial and EngineeringChemistry Research, 51 (25), pp. 8465-8476 De Wit, C.C., Olsson, H., Aström, K.J., A new model of control of systems with friction (1995) IEEE Transactions on Automatic Control, 40 (3), pp. 419-425 Fang, L., Chen, W.J., Cheang, S.U., Friction compensation for a double inverted pendulum (2001) IEEE International Conference on Control Applications, 5 (7), pp. 908-913 Garcia, C., Comparison of friction models applied to a control valve (2008) Control Engineering Practice, 31 (78), pp. 1231-1243 Gäfvert, M., Dynamicmodel based friction compensation on the furuta pendulum (1999) IEEE International Conference on Control Applications, 22 (27), pp. 1260-1265 Hägglund, T., A friction compensator for pneumatic control valves (2002) Journal of Process Control, 12, pp. 897-904 Hägglund, T., Automatic on-line estimation of backlash in control loops (2007) Journal of Process Control, 17, pp. 489-499 Ivan, L.Z.X., Lakshminarayanan, S.A., A new approach to valve stiction quantification and compensation (2009) Industrial & Engineering Chemistry Research, 48, pp. 3474-3483 Olsson, H., (1996) Control Systems with Friction, , PhD Thesis, Lund Institute of Technology, Lund Olsson, H., Aström, K.J., Friction models and friction compensation (1998) European Journal of Control, 3 (4), pp. 176-195 Olsson, H., Aström, K.J., Friction generated limit cycles (2001) IEEE Transactions on Control Systems Technology, 9 (4), pp. 629-636 Park, D., Chwa, D., Hong, S.K., An estimation and compensation of the friction in an inverted pendulum (2006) SICE-ICASE International Joint Conference, 18 (21), pp. 779-783 Ravanbod-Shirazi, L., Besançon-Voda, A., Robust friction compensation based on Karnopp model (2001) Proceedings of the European Control Conference, pp. 2558-2563 Romano, R.A., Garcia, C., Karnopp friction model identification for a real control valve (2008) Proceedings of the 17th World Congress the International Federation O Automatic Control Romano, R.A., Garcia, C., Valve friction and nonlinear process model closed-loop identification (2011) Journal of Process Control, 21, pp. 667-677 Srinivasan, R., Rengaswamy, R., Stiction compensation in process control loops: A framework for integrating stiction measure and compensation (2005) Industrial & Engineering Chemistry Research, 44, pp. 9164-9174 Thornhill, N.F., Huang, B., Zhang, H., Detection of multiple oscillations in control loops (2003) Journal of Process Control, 13, pp. 91-100 Vidyasagar, M., (2002) Nonlinear Systems Analysis, , Philadelphia, PA, USA: Society for Industrial and Applied Mathematics