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The design of reliable adaptive controllers for time-varying delayed systems based on improved H_∞ performance indexes

机译：基于改进的H_∞性能指标的时变时滞系统可靠的自适应控制器设计

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摘要

The method of designing a reliable adaptive H_∞ controller for a time delayed linear system is addressed in this paper. In the case of the existence of actuator faults in the system, improved performance indexes are proposed to describe the influence of the disturbances and time delays on the system. On the basis of the online estimates of actuator faults, the designed adaptive controller parameters are updated automatically to compensate the actuator faults influence on system while making sure optimum of the adaptive H_∞ performance indexes with time delay in both fault-free and fault cases for the closed-loop system. The sufficient conditions of asymptotic stability are obtained. In spite of their simple structure, they are proved to be less conservative than those of fixed gains controller. Finally, one numerical example is given to prove that the proposed designed method in this paper is less conservative than previous methods, one numerical example is given to illustrate the effectiveness of the method for not only time-delayed systems but also systems without time delay, and a rocket fairing structural-acoustic system is considered to verify the effectiveness of this method.
机译：提出了一种用于时滞线性系统的可靠的自适应H_∞控制器的设计方法。在系统中存在执行器故障的情况下，提出了改进的性能指标来描述干扰和时间延迟对系统的影响。在执行器故障在线估计的基础上，自动更新设计的自适应控制器参数，以补偿执行器故障对系统的影响，同时确保在无故障和故障情况下具有时间延迟的自适应H_∞性能指标均达到最佳。闭环系统。获得了渐近稳定性的充分条件。尽管它们的结构简单，但事实证明它们不如固定增益控制器保守。最后，通过一个数值算例证明了本文提出的设计方法比以前的方法不那么保守，并通过一个数值算例说明了该方法不仅对时滞系统而且对于无时延系统的有效性。并考虑了火箭整流罩的结构声学系统，以验证该方法的有效性。

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  • 来源
    《Journal of the Franklin Institute》 |2015年第3期|930-951|共22页
  • 作者

    Ning Li; Jian Feng;

  • 作者单位

    College of Information Science and Engineering, Northeastern University, Shen Yang, China;

    College of Information Science and Engineering, Northeastern University, Shen Yang, China;

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