On the Stabilization of Decentralized Time-Delay Systems
نویسندگان
چکیده
This paper investigates the stabilization problem for interconnected linear time-invariant (LTI) time-delay system by means of a linear time-invariant output feedback decentralized controller. The delays are assumed to be commensurate and can appear in the states, inputs, and outputs of the system. First, the canonical forms for time-delay systems with commensurate delays are introduced and centralized fixed modes for this type of systems are defined. It is then shown that a time-delay system which is both controllable and observable does not have any centralized fixed modes. Furthermore, an efficient technique for characterizing centralized fixed modes for any LTI time-delay system with commensurate delays is obtained. Decentralized fixed modes are then defined accordingly, and a necessary condition for decentralized stabilizability of the interconnected time-delay systems is proposed. Afterwards, it is shown that the proposed necessary condition is sufficient as well.
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