Hello,

I have applied an unknown input observer with sliding mode differentiator on a system in order to estimate states and reconstructe unknown inputs. When I set the control input u = 0, the sliding mode differentiator gives the exacte estimate of output derivatives,hence I obtain good estimation of unknown input. However, when I choose another control signal like u = sin(t) or step, I no longer obtain the exacte estimates of the outputs' time derivatives, consequently, a good unknown input reconstruction is failed. I have noticed that the reconstruction is biased however the frequency is the same of unknown input and its estimation.

I known that the observer is control input-signal independent, but why I obtain such results.

Thank you !

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