A State Observer for a Class of Nonlinear Systems with Multiple Discrete and Distributed Time Delays

This paper considers the state observer problem for a class of nonlinear systems, which present multiple non commensurate time delays as well as distributed delay terms. The proposed algorithm is an extension of the observer for nonlinear delayless systems proposed in 1993 by Ciccarella, Dalla Mora, Germani. It is proved that a suitable gain can be easily chosen such that the observation error goes to zero exponentially, with arbitrarily ̄xed decay rate. The algorithm presented here is a basis for future developments of observers for hybrid systems with multiple discrete and distributed mode dependent time delays.