Abstract
During the last decade the chaotic behavior in MEMS resonators have been reported in a number of works. Here, the chaotic behavior of a micro-mechanical resonator is suppressed. The aim is to control the system forcing it to an orbit of the analytical solution obtained by the multiple scales method. The State Dependent Riccati Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) strategies are used for controlling the trajectory of the system. Additionally, the SDRE technique is used in the state estimator design. The state estimation and the control techniques proved to be effective in controlling the trajectory of the system. Additionally, the robustness of the control strategies are tested considering parametric errors and measurement noise in the control loop.
Highlights
A significant research effort has been devoted to the report and to the analysis of the chaotic behavior in Microelectromechanical (MEM) resonators
A number of works can be found in the litterature attempting to suppress the chaotic behavior in nonlinear dynamical systems by driving the system to a periodic orbit in the state space
The State Dependent Ricatti Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) techniques have been applied to chaos suppression in Microelectromechanical System (MEMS) [5,6]
Summary
A significant research effort has been devoted to the report and to the analysis of the chaotic behavior in Microelectromechanical (MEM) resonators. A number of works can be found in the litterature attempting to suppress the chaotic behavior in nonlinear dynamical systems by driving the system to a periodic orbit in the state space. The State Dependent Ricatti Equation (SDRE) and the Optimal Linear Feedback Control (OLFC) have been applied to chaos suppression in the following works [6,10,11,19]. The SDRE and the OLFC techniques have been applied to chaos suppression in MEMS [5,6]. On. A.M. Tusset et al / Nonlinear state estimation and control for chaos suppression in MEMS resonator. The SDRE and OLFC techniques are used to suppress the chaotic behavior of a simple microelectromechanichal resonator. A state feedback controller/observer is designed to suppress the chaotic behavior.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
