Affiliations: Departamento de Engenharia Eletrônica,
Universidade Tecnológica Federal do Paraná, Ponta Grossa,
Paraná, Brasil | Departamento de Estatística, Matemática Aplicada e Computação,
Instituto de Geociências e
Ciências Exatas, Rio Claro, Rio de Janeiro, Brasil
Note: [] Corresponding author: Átila Madureira Bueno, Departamento
de Engenharia Eletrônica, Universidade Tecnológica Federal do
Paraná, Av. Monteiro Lobato, km 4, s/n, Ponta Grossa, CEP: 84016-210,
Paraná, Brasil. E-mail: atilabueno@utfpr.edu.br
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.
Keywords: Optimal control, SDRE control, chaos, MEMS, state estimation
