Robust finite time observer design for multicellular converters

High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs

“…condition for recovering the switching signal and the input uniquely. In the same context, a nonlinear finite time observer to estimate the capacitor voltage for multicellular converters, which have a switched behavior, is proposed by Defoort et al [16]. On graph theoretic approach, assuming only the knowledge of the system structure, in Boukhobza and Hamelin [10] the authors deal with the observability of the discrete state, the internal state and the input of switching structured linear systems with unknown input.…”

“…Thus, if a variable change is realized in the structure (16) it is possible to obtain the following sliding-mode differentiator form:…”

High-order sliding modes observers for linear autonomous-switched systems with unknown inputs

“…condition for recovering the switching signal and the input uniquely. In the same context, a nonlinear finite time observer to estimate the capacitor voltage for multicellular converters, which have a switched behavior, is proposed by [9]. On graph theoretic approach, assuming only the knowledge of the system's structure, in [10] the authors deal with the observability of the discrete state, the internal state and the input of switching structured linear systems with unknown input.…”

“…Assumption 3: The unknown input is a bounded function || ( , )|| ≤ + 1 , Let the system (1) satisfies assumption 1. Thus, the system (1) can be transformed into the form (8), (9). The observer for the non-switched dynamics presented in (8) and (9) takes the following form:…”

Enhancing the settling time estimation of a class of fixed‐time stable systems

“…Furthermore, in the case of switching systems, it is frequently required that the observer (or controller) achieves the stability of the observation error (or tracking error) before the next switching. 11,12 Lack of uniform boundedness of the settling-time function regardless of the initial conditions causes several restrictions to the practical application of finite time observer/controller. [13][14][15] These restrictions can be relaxed using the fixed-time stability concept.…”