arXiv:2312.10684

State Estimation for Linear Systems with Quadratic Outputs

Soulaimane Berkane, Dionysis Theodosis, Tarek Hamel, Dimos V. Dimarogonas

제출 2023-12-17

원문 초록

This letter deals with the problem of state estimation for a class of systems involving linear dynamics with multiple quadratic output measurements. We propose a systematic approach to immerse the original system into a linear time-varying (LTV) system of a higher dimension. The methodology extends the original system by incorporating a minimum number of auxiliary states, ensuring that the resulting extended system exhibits both linear dynamics and linear output. Consequently, any Kalman-type observer can showcase global state estimation, provided the system is uniformly observable.

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