Disturbance rejection and row-by-row decoupling for linear delay systems of neutral type
نویسندگان
چکیده
where x(t) ∈ IRn is the state, u(t) ∈ IRp the input, d(t) ∈ IRq is a disturbance and y(t) ∈ IRm the output. The matrices A0, A1, A−1, B0, C0 and D0 are of suitable dimensions. In this paper we assume that matrices B0 and C0 are of full rank. There are more general forms of delay systems of neutral type: with several delays, with distributed delays... Our considerations may be formulated for systems with several commensurate delays in the state, input or output. For the sake of clarity, we limit our presentation here to a single delay in the state and its derivative. For other approaches concerning systems with delay of neutral type see for example [1, 4]. The first part is devoted to the description of solutions of the system and transfer function matrix in several ways. The new approach is the generalization of the description given by Olbrot [4] and Zmood [17] for systems with simple delay in state (see [4, 14] for more details on different approaches). Then, we describe the structure at infinity of the system (1) and related questions. Applications to control problems are considered in the last part. The mains results are the characterization of the solvability of the row-by-row decoupling problem and the disturbance rejection for linear time-delay systems of neutral type. The precompensator solving the given problem may be realized by generalized static state feedback, i. e. feedback which contains the delayed derivative of the new control (for the decoupling problem) or the delayed derivative of the disturbance. An important property is that the formal stability of the neutral-type system is not affected by such feedbacks. 2 Preliminaries
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تاریخ انتشار 2000