@article{fdi:010087513, title = {{O}ptimal placement of sensor and actuator for controlling low-dimensional chaotic systems based on global modeling}, author = {{L}etellier, {C}. and {M}angiarotti, {S}ylvain and {M}inati, {L}. and {F}rasca, {M}. and {B}arbot, {J}. {P}.}, editor = {}, language = {{ENG}}, abstract = {{C}ontrolling chaos is fundamental in many applications, and for this reason, many techniques have been proposed to address this problem. {H}ere, we propose a strategy based on an optimal placement of the sensor and actuator providing global observability of the state space and global controllability to any desired state. {T}he first of these two conditions enables the derivation of a model of the system by using a global modeling technique. {I}n turn, this permits the use of feedback linearization for designing the control law based on the equations of the obtained model and providing a zero-flat system. {T}he procedure is applied to three case studies, including two piecewise linear circuits, namely, the {C}arroll circuit and the {C}hua circuit whose governing equations are approximated by a continuous global model. {T}he sensitivity of the procedure to the time constant of the dynamics is also discussed.}, keywords = {}, booktitle = {}, journal = {{C}haos}, volume = {33}, numero = {1}, pages = {013140 [19 p.]}, ISSN = {1054-1500}, year = {2023}, DOI = {10.1063/5.0128471}, URL = {https://www.documentation.ird.fr/hor/fdi:010087513}, }