Open AccessNonlinear State Estimation and Control for Chaos Suppression in MEMS Resonator
Author(s) -
Ângelo Marcelo Tusset,
Átila Madureira Bueno,
Claudinor B. Nascimento,
M. Kaster,
José Manoel Balthazar
Publication year - 2013
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2013/914864
Subject(s) - control theory (sociology) , nonlinear system , chaotic , robustness (evolution) , resonator , riccati equation , estimator , parametric statistics , state estimator , trajectory , computer science , engineering , mathematics , control (management) , physics , mathematical analysis , biochemistry , chemistry , statistics , quantum mechanics , astronomy , artificial intelligence , electrical engineering , gene , differential equation
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom