On Convergence of Systems with Sector-Bounded Hybrid Integrators
| Autor: | Sebastiaan van Den Eijnden, Marcel Heertjes, Henk Nijmeijer, W.P.M.H. Maurice Heemels |
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| Přispěvatelé: | Dynamics and Control, Control Systems Technology, Group Van de Wouw, EAISI High Tech Systems, EAISI Mobility, EAISI Foundational, ICMS Core, EAISI Health |
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Zdroj: | 2022 IEEE 61st Conference on Decision and Control, CDC 2022, 7636-7641 STARTPAGE=7636;ENDPAGE=7641;TITLE=2022 IEEE 61st Conference on Decision and Control, CDC 2022 |
| Popis: | The notion of convergent systems provides a powerful tool for the analysis and design of nonlinear systems. This paper is concerned with establishing convergence properties of a linear time-invariant (LTI) system placed in feedback with a sector-bounded hybrid integrator, the latter enabling performance such as reduced overshoot inaccessible to any linear integrator. By exploiting key properties of the hybrid integrator's discontinuous vector field that hold only in certain subregions of the state-space, a tailored piecewise quadratic incremental Lyapunov function is constructed by appropriately 'connecting' local incremental storage functions. Based on this result, computable conditions for convergence are formulated in the form of linear matrix inequalities (LMIs). |
| Databáze: | OpenAIRE |
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