@ARTICLE{Moysis_Lazaros_Adaptive_2022, author={Moysis, Lazaros and Tripathi, Meenakshi and Gupta, Mahendra Kumar and Marwan, Muhammad and Volos, Christos}, volume={vol. 32}, number={No 1}, journal={Archives of Control Sciences}, pages={105-121}, howpublished={online}, year={2022}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.}, type={Article}, title={Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization}, URL={http://journals.pan.pl/Content/122925/PDF-MASTER/art06_internet.pdf}, doi={10.24425/acs.2022.140867}, keywords={adaptive observer, incremental quadratic constraints, chaos synchronization}, }