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On Convergence of Systems with Sector-Bounded Hybrid Integrators | IEEE Conference Publication | IEEE Xplore

On Convergence of Systems with Sector-Bounded Hybrid Integrators


Abstract:

The notion of convergent systems provides a powerful tool for the analysis and design of nonlinear systems. This paper is concerned with establishing convergence properti...Show More

Abstract:

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).
Date of Conference: 06-09 December 2022
Date Added to IEEE Xplore: 10 January 2023
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Conference Location: Cancun, Mexico

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