IEEE Trans Cybern. 2017 Sep;47(9):2579-2591. doi: 10.1109/TCYB.2016.2558821. Epub 2016 May 10.
This paper investigates an output-feedback control design problem for a class of switched continuous-time Takagi-Sugeno (T-S) fuzzy systems. The considered fuzzy systems consist of several switching modes and each switching mode is described by T-S fuzzy models. In addition, there exists the asynchronous switching between the system switching modes and the controller switching modes. By using parallel distributed compensation design method, the output-feedback control schemes are developed based on state observers for the measurable and immeasurable premise variables cases. The sufficient conditions of ensuring the switched control system stabilization are proposed based on the theory of Lyapunov stability and average-dwell time methods. The controller and observer gains are obtained via two-step method. An illustrated numerical example is provided to show the effectiveness of the proposed control approaches.
本文研究了一类切换连续时间 Takagi-Sugeno (T-S) 模糊系统的输出反馈控制设计问题。所考虑的模糊系统由几个切换模式组成，每个切换模式由 T-S 模糊模型描述。此外，系统切换模式和控制器切换模式之间存在异步切换。通过使用并行分布补偿设计方法，针对可测和不可测前提变量情况，为状态观测器开发了输出反馈控制方案。基于 Lyapunov 稳定性理论和平均驻留时间方法，提出了确保切换控制系统稳定的充分条件。通过两步法获得了控制器和观测器增益。通过一个实例说明了所提出控制方法的有效性。
