Robust stabilization of T-S fuzzy systems: Fuzzy static output feedback under parametric uncertainty

摘要

This paper addresses robust static output-feedback control problems for a nonlinear system with uncertain fuzzy output in Takagi-Sugeno’s (T-S) form. Two cases of the T-S fuzzy system, both continuous- and discrete-time cases are considered. In both cases, sufficient design conditions are derived for asymptotic stabilization in the sense of Lyapunov, in terms of linear matrix inequalities. Results are extended to retain ?∞ disturbance attenuation performance. An illustrative example on the permanent magnet synchronous motor equipped with uncertain nonlinear output and disturbance is provided to illustrate the effectiveness of the proposed methodology.