ISS-like properties in Lie-bracket approximations and application to extremum seeking.
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| Title: | ISS-like properties in Lie-bracket approximations and application to extremum seeking. |
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| Authors: | Labar, Christophe1,2 (AUTHOR) christophe.labar@ic.rwth-aachen.de, Ebenbauer, Christian2 (AUTHOR) christian.ebenbauer@ic.rwth-aachen.de, Marconi, Lorenzo1 (AUTHOR) lorenzo.marconi@unibo.it |
| Source: | Automatica. Feb2022, Vol. 136, pN.PAG-N.PAG. 1p. |
| Subjects: | Time-varying systems, Nonlinear systems, Dynamical systems |
| Abstract: | In this paper, we consider a class of nonlinear time-varying systems that are subject to uncontrolled inputs. Those inputs may represent, for instance, disturbances, time-varying parameters, or model uncertainties. Exploiting the stability properties of an extended system, a so-called Lie-bracket system , we derive stability properties of the original system. Those stability results, in the spirit of input-to-state stability, are then applied to the case where the dynamical system is an extremum seeking system. Two scenarios are analyzed. We first consider that the uncontrolled input is a deterministic noise corrupting the cost measurement. We then examine the case where the uncontrolled input induces time-variations of the cost optimizer. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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