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arXiv · 2409.05812

Functional H_infity Filtering for Descriptor Systems with Monotone nonlinearities

Rishabh Sharma·Mahendra Kumar Gupta·Nutan Kumar Tomar
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Abstract

This paper introduces a novel approach to design of functional H_\infty filters for a class of nonlinear descriptor systems subjected to disturbances. Departing from conventional assumptions regarding system regularity, we adopt a more inclusive approach by considering general descriptor systems that satisfy a rank condition on their coefficient matrices. Under this rank condition, we establish a linear matrix inequality (LMI) as a sufficient criterion ensuring the stability of the error system and constraining the L 2 gain of the mapping from disturbances to errors to a predetermined level. The efficacy of the proposed approach is demonstrated through a practical example involving a simple constrained mechanical system.

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Rishabh Sharma, Mahendra Kumar Gupta, Nutan Kumar Tomar. 2024-09-09. Functional H_infity Filtering for Descriptor Systems with Monotone nonlinearities. https://arxiv.org/abs/2409.05812

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