Abstract
This chapter generalizes the TPF approach to the design of observer-based output feedback controls of linear systems with both input and output delays. Two classes of observers are constructed by using this approach. The first class of observer-based output feedback controllers is infinite dimensional and can even be generalized to linear systems with both time-varying input and output delays. The second class of observers is finite dimensional and is thus easier to implement than the first ones. For both classes of observer-based output feedback controllers, both full-order and reduced-order observers are investigated. Moreover, it is shown that the separation principle holds for infinite-dimensional observer-based output feedback controllers, but does not hold for the finite-dimensional ones.
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