Cancellation-Based Nonquadratic Controller Design for Nonlinear Systems via Takagi–Sugeno Models
针对连续时间非线性系统，提出一种非二次型控制器设计方法，利用多指标控制律抵消隶属函数时间导数项，无需边界或额外参数，以线性矩阵不等式形式实现，算例显示优于已有方法。
This paper is concerned with nonquadratic conditions for stabilization of continuous-time nonlinear systems via exact Takagi-Sugeno models and generalized fuzzy Lyapunov functions. The approach hereby proposed feedback to the time derivatives of the membership functions through a multi-index control law that cancels out the terms responsible of former a priori local conditions. Thus, a nonquadratic controller design in the form of linear matrix inequalities is achieved; it does not require bounds on the time derivatives nor any extra parameters. The examples included are shown to outperform former approaches.