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

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.

Automated summary

This paper addresses the robust sampled-data dynamic output-feedback stabilization problems for a singularly perturbed nonlinear system with parametric uncertainties and L-2 or L-infinity disturbances, proposing design conditions based on linear matrix inequalities to ensure prescribed H-infinity and L-infinity disturbance-attenuation levels. Key features include performing sampled-data syntheses in a continuous-time domain and avoiding discrete-time modelling of the T-S fuzzy system.