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首页> 外文期刊>Mathematical Problems in Engineering >Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach
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Finite-Time Output Feedback Controller Based on Observer for the Time-Varying Delayed Systems: A Moore-Penrose Inverse Approach

机译：基于观测器的时变时滞系统有限时间输出反馈控制器：Moore-Penrose逆方法

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摘要

This study proposes a novel variable structure control (VSC) for the mismatched uncertain systems with unknown time-varying delay. The novel VSC includes the finite-time convergence sliding mode, invariance property, asymptotic stability, and measured output only. A necessary and sufficient condition guaranteeing the existence of sliding surface is given. A novel lemma is established to deal with the control design problem for a wider class of time-delay systems. A suitable reduced-order observer (ROO) is constructed to estimate unmeasured state variables of the systems. A novel finite-time output feedback controller (FTOFC) is investigated, which is based on the ROO tool and the Moore-Penrose inverse technique. Moreover, with the help of this lemma and the proposed FTOFC, restrictions on most existing works are also eliminated. In addition, an asymptotic stability analysis is implemented by means of the feasibility of the linearmatrix inequalities (LMIs) and given desirable sliding mode dynamics. Finally, a MATLAB simulation result on a numerical example is performed to show the effectiveness and advantage of the proposed method.
机译：这项研究提出了一种新颖的可变结构控制（VSC），用于不确定时滞未知的不匹配不确定系统。新颖的VSC仅包括有限时间收敛滑模，不变性，渐近稳定性和测量输出。给出了保证存在滑动面的充要条件。建立了一个新颖的引理来处理更广泛的时滞系统的控制设计问题。构造了合适的降阶观察器（ROO）以估计系统的未测量状态变量。基于ROO工具和Moore-Penrose逆技术，研究了一种新颖的有限时间输出反馈控制器（FTOFC）。此外，借助这一引理和拟议的FTOFC，也消除了对大多数现有工程的限制。另外，借助于线性矩阵不等式（LMI）的可行性以及给定的期望滑模动力学，进行了渐近稳定性分析。最后，在数值例子上进行了MATLAB仿真，结果表明了该方法的有效性和优势。

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