Adaptive stabilization by delay with biased measurements

Denis Efimov*, Stanislav Aranovskiy, Emilia Fridman, Dimitry Sokolov, Jian Wang, Alexey A. Bobtsov

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


The problem of output robust adaptive stabilization for a class of Lipschitz nonlinear systems is studied under assumption that the measurements are available with a constant bias. The state reconstruction is avoided by using delayed values of the output in the feedback and adaptation laws. The control and adaptation gains can be selected as a solution of the proposed linear matrix inequalities (LMIs). The efficiency of the presented approach is demonstrated on a nonlinear pendulum through simulations.

Original languageEnglish
Pages (from-to)1684-1689
Number of pages6
StatePublished - 2020
Event21st IFAC World Congress 2020 - Berlin, Germany
Duration: 12 Jul 202017 Jul 2020


FundersFunder number
Ministry of Education and Science of the Russian Federation2019-0898
Israel Science Foundation673/19
Government Council on Grants, Russian Federation08-08
Higher Education Discipline Innovation ProjectD17019


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