模糊互联系统的分散切换控制设计及稳定性

摘要

切换控制是一种重要的控制方法，也是目前国际上研究的热点问题。本文针对状态可测的连续时间互联模糊切换大系统的分散切换控制问题，首先利用Takagi-Sugeno模糊模型对控制对象建模。按照Lyapunov理论和平均驻留时间方法，设计了切换状态反馈控制器，给出了确保该互联模糊切换大系统稳定的充分条件，并采用严谨的数学方法证明了该充分条件。数值仿真算例验证了提出方法的有效性。%The paper investigates the stabilization design problem of the switched fuzzy system; the Takagi-Sugeno (T-S) fuzzy model was adopted for fuzzy modeling of the system. According to Lyapunov stability theory and switching theory, the scheme of decentralized Parallel Distributed Compensation fuzzy control was designed via LMI method, and the sufficient conditions of ensuring the switched control system stability are proposed. A simulation example is provided to show the effectiveness of the proposed results.