Abstract
AbstractThe problem of controlling a linear time-invariant (LTI) system subject to input and output delays by means of structurally constrained controllers is considered in this paper. Necessary and sufficient conditions are given to determine if a distinct mode of the system is fixed with respect to a decentralized or overlapping information flow structure. In general, a fixed mode of a time-delay system may not be fixed if the length of the delay varies. However, it is shown that a specific type of fixed modes remain fixed for any value of delay. Conditions are also provided to characterize this type of delay-independent fixed modes. The importance of the results obtained is illustrated by a numerical example.
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