Robust H_∞ and L_∞-L_∞ sampled-data dynamic output-feedback control for nonlinear system in T-S form including singular perturbation

摘要

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 L-2 or L-infinity disturbances. Two design conditions are proposed in terms of linear matrix inequalities such that the admissible controllers guarantee the prescribed H-infinity and L-infinity- L-infinity 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.