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Tracking control of a class of nonlinear systems with output delay based on adaptive fuzzy dynamic surface control
International Journal of Systems Science ( IF 4.3 ) Pub Date : 2020-05-07 , DOI: 10.1080/00207721.2020.1758827
Zahra Rahmani 1 , Barmak Baigzadehnoe 2 , Behrooz Rezaie 1
Affiliation  

ABSTRACT This paper concerns with the tracking control problem of a class of unknown nonlinear time-delay systems in the presence of output delay and inaccessible states. To deal with the difficulties arising from unmeasurable states, a fuzzy logic observer based on delayed outputs is firstly employed. Then, based on the delayed output, observed states and filtered virtual control signals, proper change of coordinates is defined for the purpose of designing dynamic surface control. By introducing appropriate Lyapunov-Krasovskii functionals in the design procedures, a controller and adaptation laws are obtained for the control strategy of nonlinear systems subject to output delay. Moreover, by selecting design parameters and matrices based on the acquired stability criteria, it is proved that the proposed adaptive fuzzy dynamic surface output feedback control approach is able to guarantee the uniformly ultimately boundedness of all the signals in the closed loop unknown nonlinear output-delay systems. Finally, the theoretic achievements are applied to three well-known benchmark systems to illustrate the effectiveness and efficiency of the proposed approach.

中文翻译:

基于自适应模糊动态表面控制的一类输出延迟非线性系统的跟踪控制

摘要 本文涉及一类未知非线性时滞系统在存在输出延迟和不可访问状态的情况下的跟踪控制问题。为了解决不可测量状态带来的困难,首先采用基于延迟输出的模糊逻辑观察器。然后,基于延迟输出、观察状态和过滤后的虚拟控制信号,定义适当的坐标变化,以设计动态表面控制。通过在设计过程中引入适当的 Lyapunov-Krasovskii 泛函,获得了受输​​出延迟影响的非线性系统的控制策略的控制器和自适应律。此外,通过根据获得的稳定性标准选择设计参数和矩阵,证明了所提出的自适应模糊动态表面输出反馈控制方法能够保证闭环未知非线性输出延迟系统中所有信号的最终一致有界性。最后,将理论成果应用于三个著名的基准系统,以说明所提出方法的有效性和效率。
更新日期:2020-05-07
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