Continuous-Discrete Sequential Observers under Sampling and Input Delays

We provide continuous-discrete sequential observers for linear systems with input delays, sampling in the controls and in the outputs, and uncertainties. We also include uncertainties and delays in the output. Our observer allows arbitrarily long constant delays in the input and in the output, and can be used to provide input-to-state stabilizing controllers under uncertain sampled outputs, sampling in the control, and arbitrarily long input and output delays. Since our control does not contain distributed terms, this paper is an extension of the recent prediction technique based on subsequential observers. This provides a useful alternative to existing methods that contained distributed terms. Our example illustrates the large class of systems that are amenable to our methods.