Adaptive tracking control for a class of Markovian jump systems with time-varying delay and actuator faults

Adaptive tracking control for a class of Markovian jump systems with time-varying delay and actuator faults
复制标题

一类具有时变延迟和执行器故障的马尔可夫跳跃系统的自适应跟踪控制

DOI:
10.1016/j.jfranklin.2015.02.007
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发表时间:
2015-05
影响因子:
4.1
通讯作者:
Ye, Dan
Ye, Dan
中科院分区:
计算机科学3区
文献类型:
--
作者:
Fan, Quan-Yong;Yang, Guang-Hong;Ye, Dan

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研究了一类具有时变时滞和执行器故障的连续马尔可夫跳变系统的输出跟踪控制问题。所考虑的转移概率是更一般的,包括完全已知的转移概率、完全未知的转移概率和未知但有已知界的转移概率。为了抑制执行器退化的影响,使用正常的控制律构建虚拟跟踪模型。然后,采用自适应控制方法,使故障增广模型的状态渐近跟踪虚拟跟踪模型的状态,即设计容错跟踪控制器,实现系统输出渐近跟踪参考信号的目的。在所提出的方法中,自适应律涉及的各种系统模式之间的连接,构造了这样一个新的结构,故障估计是足够快,并能有效地减少高频振荡。最后通过数值算例验证了该方法的有效性。
This paper is concerned with the output tracking control problem for a class of continuous-time Markovian jump systems with time-varying delay and actuator faults. The transition probabilities considered are more general, which include completely known ones, completely unknown ones and the unknown but with known bounds. In order to attenuate the effect of actuator degradation, a virtual tracking model is constructed using the normal control law. Then, an adaptive control method is employed to make the states of fault augmented model asymptotically track those of a virtual tracking model, which means that the fault-tolerant tracking controller can be designed to achieve the goal of system output tracking the reference signal asymptotically. In the proposed approach, the adaptive laws involving in the connections among various system modes are constructed with such a novel structure that the fault estimation is fast enough and the high-frequency oscillations can be reduced effectively. Finally, the numerical example is presented to show the effectiveness of the proposed method.
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