This work focuses on output feedback sliding mode control (SMC) for nonlinear systems via T-S fuzzy affine models. Associated with the sliding surface, a singular system is firstly proposed to describe the dynamical features of the sliding motion. Adopting some convexification techniques and based on piecewise quadratic Lyapunov functions (PQLFs) and a common quadratic Lyapunov function (CQLF), sufficient criteria for the asymptotic stability analysis of the sliding mode dynamical system are attained. Two output feedback SMC synthesis schemes are developed to drive the closed-loop system states to the sliding surface in finite time. A simulation example is presented to show the validity of the proposed methods.

中文翻译：

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TS模糊仿射系统输出反馈滑模控制器的新设计

这项工作的重点是通过 TS 模糊仿射模型对非线性系统进行输出反馈滑模控制 (SMC)。与滑动面相关联，首次提出奇异系统来描述滑动运动的动力学特征。采用一些凸化技术，基于分段二次李雅普诺夫函数（PQLFs）和公共二次李雅普诺夫函数（CQLF），得到了滑模动力系统渐近稳定性分析的充分条件。开发了两种输出反馈 SMC 综合方案，以在有限时间内将闭环系统状态驱动到滑动表面。给出了一个仿真例子来证明所提出方法的有效性。