ABSTRACT

This paper pays attention to the robust sampled-data dynamic output-feedback stabilisation problems for a singularly perturbed nonlinear system in Takagi–Sugeno (T–S) form when the system suffers from parametric uncertainties and ${\mathcal{L}}_2$ or ${\mathcal{L}}_{\mathrm{\infty }}$ disturbances. Two design conditions are proposed in terms of linear matrix inequalities such that the admissible controllers guarantee the prescribed ${\mathcal{H}}_{\mathrm{\infty }}$ and ${\mathcal{L}}_{\mathrm{\infty }}$–${\mathcal{L}}_{\mathrm{\infty }}$ disturbance-attenuation levels, respectively. The features of the development are that (i) the sampled-data syntheses are performed in a continuous-time domain and (ii) (even approximate) discrete-time modelling of the T–S fuzzy system is not involved.

摘要

当系统受到参数不确定性和不确定性影响时，本文关注高奇数-Sugeno（TS）形式的奇摄动非线性系统的鲁棒采样数据动态输出-反馈稳定问题。 ${\mathcal{大号}}_2$ 要么 ${\mathcal{大号}}_{\mathrm{\infty }}$干扰。根据线性矩阵不等式，提出了两种设计条件，以便允许的控制器保证规定的${\mathcal{H}}_{\mathrm{\infty }}$ 和 ${\mathcal{大号}}_{\mathrm{\infty }}$–${\mathcal{大号}}_{\mathrm{\infty }}$干扰衰减水平。开发的特征是（i）采样数据合成是在连续时间域中执行的，并且（ii）不涉及T–S模糊系统的离散时间建模。