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<p>An adaptive prescribed performance control issue of Itô Markov jump nonlinear systems (MJNSs) based on event driven method is investigated in this paper. Using the backstepping technique, we propose a co-design programme to investigate the adaptive dynamic surface controller and the relative threshold strategy (RTS) within a unified framework. Consequently, all signals are guaranteed to be bounded in probability and the tracking error should always be kept within the prescribed performance bound in the sense of mean quartic value (SMQV). In this case, the method compensates the measurement error by adding correction term in the controller, thus eliminating assumption of stochastic input-to-state stability (ISS). A remarkable feature is that the RTS which is dependent on the control signal abates the frequency of events driven. At last, two simulation examples are performed to illustrate the effectiveness of the proposed prescribed performance control scheme.</p>

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Adaptive Prescribed Performance Event Driven Control for Itô Markov Jump Systems

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • Miao He,
  • Taotao Rong,
  • Jiaxi Chen,
  • Yafeng Li

摘要

An adaptive prescribed performance control issue of Itô Markov jump nonlinear systems (MJNSs) based on event driven method is investigated in this paper. Using the backstepping technique, we propose a co-design programme to investigate the adaptive dynamic surface controller and the relative threshold strategy (RTS) within a unified framework. Consequently, all signals are guaranteed to be bounded in probability and the tracking error should always be kept within the prescribed performance bound in the sense of mean quartic value (SMQV). In this case, the method compensates the measurement error by adding correction term in the controller, thus eliminating assumption of stochastic input-to-state stability (ISS). A remarkable feature is that the RTS which is dependent on the control signal abates the frequency of events driven. At last, two simulation examples are performed to illustrate the effectiveness of the proposed prescribed performance control scheme.