Generalized Nonquadratic Stability of Continuous-Time Takagi–Sugeno Models

This paper provides generalized nonquadratic stability conditions for continuous-time nonlinear models in the Takagi-Sugeno (TS) form obtained by sector-nonlinearity approach. Should global quadratic stability fail for a given nonlinear model, the proposed approach allows the obtaining of progressively better estimations of the stability domain via local asymptotic conditions in the form of linear-matrix inequalities (LMIs), which are efficiently solved by convex optimization techniques. Illustrative examples are presented to emphasize the broadening capabilities of the new stability analysis.