Analysis and synthesis of superstable Takagi–Sugeno fuzzy system

The approach is presented that uses superstability conditions for analysis and synthesis of continuous-time Takagi–Sugeno fuzzy systems. Practically important properties (behavior of solutions, robustness) of a superstable fuzzy systems class are studied. It is shown that the fuzzy regulator synthesis is reduced to solving a set of linear programming problems. The solution is obtained of problems of robust synthesis and fuzzy system state assessment in the presence of external bounded disturbances. The robust superstabilization problem solution is given for hyperchaotic system, represented as a fuzzy model.