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Adaptive Output Feedback Sliding Mode Control for Complex Interconnected Time-Delay Systems

机译:复杂互连时滞系统的自适应输出反馈滑模控制

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摘要

We extend the decentralized output feedback sliding mode control (SMC) scheme to stabilize a class of complex interconnected time-delay systems. First, sufficient conditions in terms of linear matrix inequalities are derived such that the equivalent reduced-order system in the sliding mode is asymptotically stable. Second, based on a new lemma, a decentralized adaptive sliding mode controller is designed to guarantee the finite time reachability of the system states by using output feedback only. The advantage of the proposed method is that two major assumptions, which are required in most existing SMC approaches, are both released. These assumptions are (1) disturbances are bounded by a known function of outputs and (2) the sliding matrix satisfies a matrix equation that guarantees the sliding mode. Finally, a numerical example is used to demonstrate the efficacy of the method.
机译:我们扩展了分散输出反馈滑模控制(SMC)方案,以稳定一类复杂的互连时滞系统。首先,得出关于线性矩阵不等式的充分条件,以使滑模中的等效降阶系统渐近稳定。其次,基于新的引理,设计了一种分散式自适应滑模控制器,以仅通过使用输出反馈来保证系统状态的有限时间可达性。所提出的方法的优点是,大多数现有的SMC方法都需要释放两个主要假设。这些假设是:(1)干扰受输出的已知函数限制;(2)滑动矩阵满足保证滑动模式的矩阵方程。最后,通过算例说明了该方法的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第12期|239584.1-239584.15|共15页
  • 作者单位

    Da Yeh Univ, Dept Mech & Automat Engn, Changhua 51591, Taiwan.;

    Da Yeh Univ, Dept Mech & Automat Engn, Changhua 51591, Taiwan.;

    Da Yeh Univ, Dept Mech & Automat Engn, Changhua 51591, Taiwan.;

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