@Article{SouzaBigo:2016:AdMeWe,
author = "Souza, Luiz Carlos Gadelha de and Bigot, Pierre Gaston",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto
Nacional de Pesquisas Espaciais (INPE)}",
title = "An adaptive method with weight matrix as a function of the state
to design the rotatory flexible system control law",
journal = "Mechanical Systems and Signal Processing",
year = "2016",
volume = "79",
pages = "132--140",
month = "Oct.",
keywords = "SDRE, Dynamic of flexible beam, Nonlinear control law.",
abstract = "One of the most well-known techniques of optimal control is the
theory of Linear Quadratic Regulator (LQR). This method was
originally applied only to linear systems but has been generalized
for non-linear systems: the State Dependent Riccati Equation
(SDRE) technique. One of the advantages of SDRE is that the weight
matrix selection is the same as in LQR. The difference is that
weights are not necessarily constant: they can be state dependent.
Then, it gives an additional flexibility to design the control
law. Many are applications of SDRE for simulation or real time
control but generally SDRE weights are chosen constant so no
advantage of this flexibility is taken. This work serves to show
through simulation that state dependent weights matrix can improve
SDRE control performance. The system is a non-linear flexible
rotatory beam. In a brief first part SDRE theory will be explained
and the non-linear model detailed. Then, influence of SDRE weight
matrix associated with the state Q will be analyzed to get some
insight in order to assume a state dependent law. Finally, these
laws are tested and compared to constant weight matrix Q. Based on
simulation results; one concludes showing the benefits of using an
adaptive weight Q rather than a constant one.",
doi = "10.1016/j.ymssp.2016.02.028",
url = "http://dx.doi.org/10.1016/j.ymssp.2016.02.028",
issn = "0888-3270",
label = "self-archiving-INPE-MCTI-GOV-BR",
language = "en",
targetfile = "souza_an adaptive.pdf",
urlaccessdate = "24 jan. 2021"
}