Hua Chang-Chun, Wang Qing-Guo, Guan Xin-Ping
Institute of Electrical Engineering, Yanshan University, Qinhuangdao City, China.
IEEE Trans Syst Man Cybern B Cybern. 2009 Apr;39(2):363-74. doi: 10.1109/TSMCB.2008.2005204. Epub 2008 Dec 16.
In this paper, the robust-control problem is investigated for a class of uncertain nonlinear time-delay systems via dynamic output-feedback approach. The considered system is in the strict-feedback form with unknown control direction. A full-order observer is constructed with the gains computed via linear matrix inequality at first. Then, with the bounds of uncertain functions known, we design the dynamic output-feedback controller such that the closed-loop system is asymptotically stable. Furthermore, when the bound functions of uncertainties are not available, the adaptive fuzzy-logic system is employed to approximate the uncertain function, and the corresponding output-feedback controller is designed. It is shown that the resulting closed-loop system is stable in the sense of semiglobal uniform ultimate boundedness. Finally, simulations are done to verify the feasibility and effectiveness of the obtained theoretical results.
本文通过动态输出反馈方法研究了一类不确定非线性时滞系统的鲁棒控制问题。所考虑的系统为具有未知控制方向的严格反馈形式。首先通过线性矩阵不等式计算增益来构造全阶观测器。然后，在已知不确定函数界的情况下，设计动态输出反馈控制器，使闭环系统渐近稳定。此外，当不确定性的界函数不可用时，采用自适应模糊逻辑系统来逼近不确定函数，并设计相应的输出反馈控制器。结果表明，所得闭环系统在半全局一致最终有界意义下是稳定的。最后，通过仿真验证了所获理论结果的可行性和有效性。
