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Design of adaptive sliding mode tracking controllers for chaotic synchronization and application to secure communications

機(jī)譯:混沌同步的自適應(yīng)滑模跟蹤控制器設(shè)計(jì)及在通信中的應(yīng)用

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摘要

Synchronization of two identical chaotic systems with matched and mismatched perturbations by utilizing adaptive sliding mode control (ASMC) technique is presented in this paper. The sliding surface function is specially designed based on the Lyapunov stability theorem and linear matrix inequality (LMI) optimization technique. The designed tracking controller can not only suppress the mismatched perturbations when the controlled dynamics (master-slave) are in the sliding mode, but also drive the trajectories of synchronization errors into a small bounded region whose size can be adjusted through the designed parameters. Adaptive mechanisms are employed in the proposed control scheme for adapting the unknown upper bounds of the perturbations, and the stability of overall controlled synchronization systems is guaranteed. The comparison of the proposed chaotic synchronization technique with an existing generalized chaotic synchronization (GCS) method as well as application of the proposed control method to secure communications is also demonstrated in this paper.
機(jī)譯:利用自適應(yīng)滑??刂疲ˋSMC)技術(shù),對兩個(gè)相同的具有匹配和不匹配擾動的混沌系統(tǒng)進(jìn)行同步?;瑒颖砻婧瘮?shù)是根據(jù)Lyapunov穩(wěn)定性定理和線性矩陣不等式(LMI)優(yōu)化技術(shù)專門設(shè)計(jì)的。設(shè)計(jì)的跟蹤控制器不僅可以抑制受控動力學(xué)(主從)處于滑動模式時(shí)的失配擾動,而且可以將同步誤差的軌跡驅(qū)動到較小的有界區(qū)域,該區(qū)域的大小可以通過設(shè)計(jì)的參數(shù)進(jìn)行調(diào)整。在所提出的控制方案中采用自適應(yīng)機(jī)制來適應(yīng)未知的擾動上限,并保證了整個(gè)受控同步系統(tǒng)的穩(wěn)定性。本文還證明了所提出的混沌同步技術(shù)與現(xiàn)有的廣義混沌同步(GCS)方法的比較,以及所提出的控制方法在安全通信中的應(yīng)用。

著錄項(xiàng)

  • 來源
    《Journal of the Franklin Institute》 |2012年第8期|p.2626-2649|共24頁
  • 作者單位

    Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, ROC;

    Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, ROC;

    Department of Electrical Engineering, National Sun Yat-Sen University, Kaohsiung 804, Taiwan, ROC;

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