Sampled-data observer error linearization

An analysis of the effects of time-sampling on the obseroer error lineariza-tion design methodology shows that requiring the method to be applicable for an open set of sampling times trioializes the class of allowable systems. Abstract-The effects of time-sampling on the solvability conditions for the observer linearization design methodology are investigated. It is shown that the class of systems for which this design method can be applied for an open set of sampling times is quite small. In particular, when the dimension of the state space is two, it consists only of those systems that are state-equivalent to a linear system. The practical implication is that digital implementations of this methodology will have to be approximate.