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    Характеристики эффективности метода адаптивной компенсации активных помех в условиях их многопутевого распространения

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    The effectiveness of the method of adaptive compensation of active interference in the spectral domain in case of multipath propagation of interference, caused by re-reflections from local objects and underlying surface, is evaluated. The possibility of compensation of interference in the conditions of its multipath propagation both in the main and in the compensatory receiving paths is established. Fridman L. B. Effectiveness of the Method of Adaptive Compensation of Active Interference in Conditions of Multipath Propagation. Ural Radio Engineering Journal. 2023;7(1):87–93. (In Russ.) DOI 10.15826/ urej.2023.7.1.006.Рассматриваются особенности адаптивной компенсации активных помех в условиях их многопутевого распространения, вызванного переотражениями от местных предметов и подстилающей поверхности. Выполняется обоснование возможности применения метода адаптивной компенсации активных помех. Проводится анализ эффективности рассматриваемого метода при наличии переотражений в основном и компенсационном приемных каналах. Фридман Л. Б. Характеристики эффективности метода адаптивной компенсации активных помех в условиях их многопутевого распространения. Ural Radio Engineering Journal. 2023;7(1):87–93. DOI 10.15826/ urej.2023.7.1.006

    State observation for quasi-linear uncertain systems by nested high-order sliding mode observer

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    The problem of observation of some classes of quasilinear uncertain systems is studied in the framework of unknown input observer theory. High-order sliding-mode observers are designed for the considered classes of systems. Necessary conditions for the convergence of the proposed observers are given in terms of restrictions on the system matrices. A new observation scheme, based on the error injection by high-order sliding-mode control, is proposed. Simulations confirm the theoretical results

    Analysis of the sub-optimal second-order sliding-mode control algorithm in the frequency domain

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    The frequency-domain characteristics of the sub-optimal second-order sliding mode control (2-SMC) algorithm are analyzed making reference to the feedback control of linear plants. We show that if the plant is stable and its relative degree is greater than two then a stable periodic solution may exist. Two methods for computing the amplitude and frequency of the limit cycle are proposed. The dependence of the frequency and amplitude of the periodic solution from the tuning parameters of the 2-SMC algorithm is investigated

    On the Transfer Properties of the “Generalized Sub-Optimal” Second-Order Sliding Mode Control Algorithm

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    A class of second order sliding mode control systems is studied in terms of its transfer properties, which allows for investigating the system response to an external signal representing either a disturbance, which the system is supposed to reject, or the reference input, which the system is supposed to track. An approach based on the Locus of a Perturbed Relay System (LPRS) is developed making reference to linear plant/actuator/ sensor dynamics and to the “generalized sub-optimal” second-order sliding mode control algorithm in the closed loop. A thoroughly discussed example shows the feasibility of the presented procedure and confirms the theoretical results

    Observation of a class of quasilinear systems by quasi-continuous high-order sliding modes

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    High-order sliding-mode observers are designed for some classes of non linear systems with unknown inputs. Conditions for the feasibility of the proposed approach are given for both the SISO and MIMO cases under the conditions of strong observability or strong detectability. Simulations confirm the theoretical results

    Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators

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    Tuning of second-order sliding mode control (2-SMC) algorithms in linear systems with dynamic actuators is considered. By means of a describing function (DF) approach, it is investigated how the parameters of a 2-SMC algorithm (the so-called “generalized sub-optimal” algorithm) affect the frequency and the magnitude of the limit cycles that occur when the overall relative degree of the plant plus the actuator is three or more. Explicit formulas are given that allow for setting the parameters of the algorithm to obtain a periodic solution with the prescribed characteristics. By means of simulation examples, we show that the estimated chattering parameters are in good agreement with the actual ones. We also show that the proposed design procedure can also be useful when the local linearization of a nonlinear dynamics is sufficiently accurate
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