![]() Wei J-D, Sun C-T (2002) Large simulation of hysteresis systems using a piecewise polynomial function. Webb GV, Lagoudas DC, Kurdila AJ (1998) Hysteresis modeling of SMA actuators for control applications. Rakotondrabe M (2011) Bouc-Wen modeling and inverse multiplicative structure to compensate hysteresis nonlinearity in piezoelectric actuators. Mayergoyz ID (1988) Dynamic Preisach models of hysteresis. Mao J, Ding H (2009) Intelligent modeling and control for nonlinear systems with rate-dependent hysteresis. Low TS, Guo W (1995) Modeling of a three-layer piezoelectric bimorph beam with hysteresis. Kuhnen K (2003) Modeling, identification and compensation of complex hysteretic nonlinearities: a modified Prandtl-Ishlinskii approach. In: Proceedings of IEEE international conference on neural networks. ![]() Kennedy J, Eberhart R (1995) Particle swarm optimization. Jiles DC, Atherton DL (1986) Theory of ferromagnetic hysteresis. Iyer RV, Tan X, Krishnaprasad PS (2005) Approximate inversion of the Preisach hysteresis operator with application to control of smart actuators. Ismail M, Ikhouane F, Rodellar J (2009) The hysteresis Bouc–Wen model, a survey. IEEE Trans Ultrason Ferroelectr Freq Control 48:900–913. Springer Science &įaa-Jeng L, Rong-Jong W, Kuo-Kai S, Tsih-Ming L (2001) Recurrent fuzzy neural network control for piezoelectric ceramic linear ultrasonic motor drive. Philadelphiaīrokate M, Sprekels J (1996) Hysteresis and phase transitions, vol. Society for Industrial and Applied Mathematics, 2 edn. Birkhauser, Baselīasar T, Olsder GJ (1999) Dynamic noncooperative game theory. Simulation results and practical tests reveal that the controlled piezoelectric actuator reaches 1 μm positioning accuracy, and the proposed robust control law delivers promising positioning performance under impacts of hysteresis, modeling uncertainties and environmental disturbances.īasar T, Bernhard P (1995) H ∞-optimal control and related minimax design problems: A dynamic game approach. The robust compensator is used to mitigate the total impact of hysteresis, modeling uncertainties and environmental disturbances and carry out the fine tuning of positioning errors to zero. The feedback linearization controller is developed for converging of positioning errors exponentially. It aims to eliminate above-mentioned impacts and tackle the micrometer (μm) positioning design of piezoelectric actuators. In this paper, a hybrid nonlinear robust control design that integrates a feedback linearization control method and a robust compensator is proposed. ![]() However, factors of nonlinear hysteresis, modeling uncertainties, and environmental disturbances result in unacceptable positioning errors and greatly increase the control difficulties. These advantages give piezoelectric actuator the possibility of being high-accuracy industrial machineries. There it is impossible to adjust mirrors manually after the cavity is closed, but at that time point the adjustments shouldn’t be more than a few steps in one or other direction making open loop Picomotor a perfect fit.Inherently, piezoelectric actuator is one of the devices equipped with the micrometer positioning capability and characterized by small size, fast response, high stiffness, and large blocking force. In application like this closed loop Picomotor wouldn’t have helped with the actual adjustment.Ī good example of this is beam alignment inside the cavity of a laser. For example with mirror mounts in an optical beam path it is better to close the loop through the beam position by utilizing beam splitters and beam position sensing detectors, like CONEX-PSD9 or CONEX-PSD10GE, which will allow you to figure out how to command the Picomotors on the mirror to adjust the beam position. It is also always better to close the loop on the main process you are trying to control. Therefore, it is important to consider usage of open loop Picomotor for mainly small adjustments. Of course, for longer travel this becomes worse. As you can see in example in figure 3, even though the Picomotor went forward and then backward 18 steps it will still be within 30 nm of the original position. ![]() Even with this variability in the step size we are still able to adjust position at very small increments allowing for fine adjustments with very high stability. ![]()
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