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      저자 : Mohajerpoor, R. (검색결과 2 건)
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      • Delay-Dependent Functional Observer Design for Linear Systems With Unknown Time-Varying State Delays

        Mohajerpoor, Reza,Shanmugam, Lakshmanan,Abdi, Hamid,Nahavandi, Saeid,Park, Ju H. IEEE 2018 IEEE transactions on cybernetics Vol.48 No.7

        <P>Partial state estimation has numerous applications in practice. Nevertheless, designing delay-dependent functional observers (FOs) for systems with unknown time delays is rigorous and still an open dilemma. This paper addresses the problem for linear time-invariant systems with state time-varying delays. The delay is assumed to be bounded in an interval with a bounded derivative. A sliding mode FO structure that is robust against the delay uncertainties is established to this aim. The structure employs an auxiliary delay function that can be defined based on the existing knowledge on the actual delay values. Delay-dependent <I>sufficient</I> conditions for the stability of the observer are obtained using the Lyapunov Krasovskii approach, and are expressed in terms of a linear matrix inequality and two rank conditions. The <I>delay-free</I> observer structure is additionally studied and the <I>necessary and sufficient</I> conditions for its stability are obtained. Two descriptive numerical examples and simulation results demonstrate the design procedure and emphasize the effectiveness of the proposed observer design algorithm.</P>

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        Improved delay-dependent stability criteria for neutral systems with mixed interval time-varying delays and nonlinear disturbances

        Mohajerpoor, R.,Shanmugam, L.,Abdi, H.,Rakkiyappan, R.,Nahavandi, S.,Park, J.H. Pergamon 2017 Journal of the Franklin Institute Vol. No.

        <P>It is well-known that the stability analysis of time-delay systems is a key step to design appropriate controllers and/or filters for those systems. In this paper, the problem of the delay-dependent stability analysis of neutral systems with mixed interval time-varying delays with/without nonlinear perturbations is revisited. Bounded derivatives of the discrete and neutral delays with upper-bounds not limited to be strictly less than one are considered. New stability criteria are developed using the Lyapunov Krasovskii methodology which are expressed in terms of linear matrix inequalities (LMIs). An augmented Lyapunov Krasovskii functional (LKF) utilizing triple integral terms and the descriptor transformation is employed to this aim. In addition, advanced techniques such as Wirtinger-based single and double-integral inequalities, delay decomposition technique combined with the reciprocally convex approach, as well as a few effective free-weighting matrices are employed to achieve less conservative stability conditions. Comprehensive benchmarking numerical examples and simulation studies demonstrate the effectiveness of the proposed stability criteria with respect to some recently published results. The efficacy of the modern integral inequalities are also emphasized against the conventional.Tensen's inequalities. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.</P>

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