Short
summary of "Proportional Derivative Control of Hysteretic Systems." SIAM
Journal on Control and Optimization.
In recent years, control of hysteretic systems has received much attention due to the growing number of industrial applications of smart actuators. However, these actuators are difficult to control to achieve a given objective due to the presence of saturating hysteresis and other nonlinearities. Motivated by such hysteretic systems, this paper described how to develop a dual-loop proportional derivative (PD) tracking control using two output feedbacks for saturating, non-monotone hysteretic systems.
There are many trajectory tracking control methods for hysteretic systems presented in the literature, including inverse compensation of hysteresis, adaptive control, passivity--based control, monotonicity-based control, and hybrid control. Most of these controllers utilize a hysteresis model that is an approximation of the system, developed for non-saturating hysteresis systems without minor loop closure behavior, or based on the monotonocity assumption of the system hysteresis. Most of these schemes have merit for specific hysteretic systems and control operations. However, smart actuators exhibit complex hysteresis, combined with many other nonlinearities, limiting the usefulness of conventional control schemes to low frequency ranges and low amplitude signals. In this paper, the authors investigate whether it is possible to use a multi-loop feedback control architecture for non-monotone complex hysteretic systems to improve the operating region of the actuators.
Existing feedback control schemes for hysteretic systems use only the output to be regulated to derive the control signal. For example, schemes for magnetostrictive actuators use only tip displacement as input for the control scheme. However, when a current is applied to a magnetostrictive actuator, induced voltage can also be measured. To achieve precision control of these complex systems, it is important to include all measurements that can be easily obtained and that reflect properties of the hysteretic system. The objective of this paper is to show that feed-forward loops and model-based controllers can be effectively replaced by adding the second proportional controller loop, and such a controller is appropriate for complex hysteretic systems. It is important to point out that, while the paper demonstrates the usefulness of dual-loop feedback systems, it does not investigate the superiority of possible hybrid controllers that utilize this feedback system, which is a research topic that the authors plan to investigate in the near future.
In recent years, control of hysteretic systems has received much attention due to the growing number of industrial applications of smart actuators. However, these actuators are difficult to control to achieve a given objective due to the presence of saturating hysteresis and other nonlinearities. Motivated by such hysteretic systems, this paper described how to develop a dual-loop proportional derivative (PD) tracking control using two output feedbacks for saturating, non-monotone hysteretic systems.
There are many trajectory tracking control methods for hysteretic systems presented in the literature, including inverse compensation of hysteresis, adaptive control, passivity--based control, monotonicity-based control, and hybrid control. Most of these controllers utilize a hysteresis model that is an approximation of the system, developed for non-saturating hysteresis systems without minor loop closure behavior, or based on the monotonocity assumption of the system hysteresis. Most of these schemes have merit for specific hysteretic systems and control operations. However, smart actuators exhibit complex hysteresis, combined with many other nonlinearities, limiting the usefulness of conventional control schemes to low frequency ranges and low amplitude signals. In this paper, the authors investigate whether it is possible to use a multi-loop feedback control architecture for non-monotone complex hysteretic systems to improve the operating region of the actuators.
Existing feedback control schemes for hysteretic systems use only the output to be regulated to derive the control signal. For example, schemes for magnetostrictive actuators use only tip displacement as input for the control scheme. However, when a current is applied to a magnetostrictive actuator, induced voltage can also be measured. To achieve precision control of these complex systems, it is important to include all measurements that can be easily obtained and that reflect properties of the hysteretic system. The objective of this paper is to show that feed-forward loops and model-based controllers can be effectively replaced by adding the second proportional controller loop, and such a controller is appropriate for complex hysteretic systems. It is important to point out that, while the paper demonstrates the usefulness of dual-loop feedback systems, it does not investigate the superiority of possible hybrid controllers that utilize this feedback system, which is a research topic that the authors plan to investigate in the near future.