On functional observers for linear systems with unknown inputs and HOSM differentiators |
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| Authors: | Marco Tulio Angulo Jaime A Moreno Leonid Fridman |
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| Institution: | 1. Facultad de Ingeniería, UAQ, Mexico;2. Departamento de Ingeniería de Control y Robótica, UNAM, Mexico;3. Eléctrica y Computación, Instituto de Ingeniería, UNAM, Mexico |
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| Abstract: | The problem of constructing functional observers for linear systems with unknown inputs is considered. Necessary and sufficient conditions for the existence of a proper observer (without differentiations) are revisited. A simple and explicit form of a functional observer is presented. It is shown that when such observer is not proper, it is still possible to use the High-Order Sliding Mode differentiator to implement it. Nevertheless, in such case, additional conditions on the system and the unknown input are required. |
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