Koopman-based model predictive control of a nanometric positioning system (CROSBI ID 662840)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Kamenar, Ervin ; Korda, Milan ; Zelenika, Saša ; Mezić, Igor ; Maćešić, Senka
engleski
Koopman-based model predictive control of a nanometric positioning system
Nonlinear frictional disturbances limit the performances of high-precision mechatronics systems. Recently it was shown that nanometric positioning can be achieved only if these disturbances are identified, modelled and compensated for via suitable control approaches. A PID controller, complemented with feed-forward based on the Generalized Maxwell-slip model, allows hence to achieve nanometric positioning but its real-time implementation is difficult, whereas a self-tuning regulator enables nanometric positioning with a marked overshoot. Koopman-based model predictive control (MPC) is applied in this work instead. This approach allows “lifting” the nonlinear dynamics of the considered device into a higher dimensional space where its behaviour can be predicted by a linear system ; the computational complexity of the thus obtained controller is hence comparable to that of equivalent linear controllers. The resulting positioning performances are evaluated numerically in the MATLAB/Simulink environment and compared to those when the mechatronics device is driven by using different controllers. It is thus shown that the Koopman-based MPC virtually eliminates steady state errors, decreases the settling time and results in very small overshoots.
Nonlinear disturbances ; nanometric positioning ; Koopman-based model predictive control ; modelling and validation
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Podaci o prilogu
75-76.
2018.
objavljeno
Podaci o matičnoj publikaciji
Proceedings of the 18th EUSPEN International Conference
Billington, D. ; Leach, R. K. ; Phillips, D. ; Riemer, O. ; Savio, E.
Cranfield: European Society for Precision Engineering and Nanotechnology (EUSPEN)
978-0-9957751-2-1
Podaci o skupu
18th EUSPEN International Conference
poster
04.06.2018-08.06.2018
Venecija, Italija