We focus on the robust sampled-data static output-feedback control problems for singularly perturbed nonlinear systems subject to parametric uncertainties and ${\mathcal{L}}_2$ or ${\mathcal{L}}_{\infty }$ disturbances that can be modeled in Takagi–Sugeno form. The features are that: (i) the sampled-data syntheses are performed in a continuous-time domain; (ii) (approximate) discrete-time modeling is not involved; (iii) the descriptor-type Lyapunov–Krasovskii functional is not adopted. Two (${\mathcal{H}}_{\infty }$ and ${\mathcal{L}}_{\infty }$–${\mathcal{L}}_{\infty }$) design conditions are derived in terms of linear matrix inequalities. Numerical examples are presented to demonstrate the effectiveness of the theoretical developments.

我们专注于受参数不确定性影响的奇摄动非线性系统的鲁棒采样数据静态输出-反馈控制问题。 ${\mathcal{大号}}_2$ 要么 ${\mathcal{大号}}_{\infty }$可以用Takagi–Sugeno形式建模的干扰。这些特征是：（i）采样数据合成是在连续时间域中执行的；（ii）不涉及（近似）离散时间建模；（iii）不采用描述符类型的Lyapunov–Krasovskii函数。两个（${\mathcal{H}}_{\infty }$ 和 ${\mathcal{大号}}_{\infty }$–${\mathcal{大号}}_{\infty }$设计条件是根据线性矩阵不等式得出的。数值例子表明了理论发展的有效性。