4.7 Article

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

期刊

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
卷 52, 期 7, 页码 1315-1328

出版社

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2020.1856448

关键词

Takagi-Sugeno (T-S) fuzzy system; singular perturbation; H-infinity/L-infinity-L-infinity sampled-data control; dynamic output feedback

资金

  1. National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2017R1D1A1B03034587]
  2. Ministry of Science and ICT the Korea government [NRF-2020R1F1A10 75776]

向作者/读者索取更多资源

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.
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.

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