An integral sliding mode control method for uncertain Takagi–Sugeno fuzzy systems is investigated in this paper. Considering the time-varying property of the fuzzy system control matrix, a dimensional-varying integral sliding mode controller is proposed. With a membership function piecewise linearization technique, the gain matrices of equivalent control law are derived. Then a dimension switching sliding model control scheme is designed to close the control loop. As a result, traditional restrictions on input matrix can be further relaxed. Finally, a numerical and a Diesel Engine Air-Path control examples are provided to certificate the merits and effectiveness of the proposed approach.

本文研究了不确定的Takagi-Sugeno模糊系统的积分滑模控制方法。考虑到模糊系统控制矩阵的时变特性，提出了一种变维积分滑模控制器。利用隶属函数分段线性化技术，推导了等效控制律的增益矩阵。然后设计了一种尺寸切换滑模控制方案，以闭合控制回路。结果，可以进一步放宽对输入矩阵的传统限制。最后，提供了数值和柴油机气路控制示例，以证明所提出方法的优点和有效性。