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Peet, M.; Gu, K. (, Proceedings of the ... American Control Conference)
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Peet, M; Gu, K (, Mathematical Theory of Networks and Systems)In this paper, we develop an SOS approach for design of observers for time-delay systems. The method is an extension of recently developed algorithms for control of infinite-dimensional systems. The observers we design are more general than the class of observers most commonly associated with time-delay systems in that they directly correct both the estimate of present state as well as the history of the state. The result is that the observer is itself a PDE. In this case the traditional notions of strong and weak observability do not apply and the resulting observer-based controllers can significantly outperform existing approaches.more » « less
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