State estimation and stabilization of continuous-time Takagi-Sugeno fuzzy systems with constraints of positiveness and superstability
Yuri V. Talagaev · 2017
The paper deals with the new specific class of continuous-time T-S fuzzy systems, subject to conditions of positiveness and superstability simultaneously. The peculiarities of the behavior of the fuzzy system with and without bounded external disturbances are studied. Two mutually complementary approaches to the solution of the problem of positive super-stabilization of T-S fuzzy systems, reduced to the solution of the LP problems are revealed. The paper contains examples, demonstrating the ways of studying the conditions of existence and finding the fuzzy regulator, ensuring required behavior of the closed-loop T-S fuzzy system.