IEEE Trans Neural Netw Learn Syst. 2015 Nov;26(11):2749-59. doi: 10.1109/TNNLS.2015.2392946. Epub 2015 Mar 18.
This paper studies the dynamic output feedback tracking control problem for stochastic interconnected time-delay systems with the prescribed performance. The subsystems are in the form of triangular structure. First, we design a reduced-order observer independent of time delay to estimate the unmeasured state variables online instead of the traditional full-order observer. Then, a new state transformation is proposed in consideration of the prescribed performance requirement. Using neural network to approximate the composite unknown nonlinear function, the corresponding decentralized output tracking controller is designed. It is strictly proved that the resulting closed-loop system is stable in probability in the sense of uniformly ultimately boundedness and that both transient-state and steady-state performances are preserved. Finally, a simulation example is given, and the result shows the effectiveness of the proposed control design method.
本文研究了具有给定性能的随机互联时滞系统的动态输出反馈跟踪控制问题。子系统采用三角结构形式。首先,我们设计了一个与时间延迟无关的降阶观测器,以便在线估计不可测量的状态变量,而不是传统的全阶观测器。然后,考虑到给定的性能要求,提出了一种新的状态变换。利用神经网络来近似复合未知非线性函数,设计了相应的分散输出跟踪控制器。严格证明了所得到的闭环系统在一致最终有界的意义上是稳定的,并且保持了瞬态和稳态性能。最后,给出了一个仿真例子,结果表明了所提出的控制设计方法的有效性。