This work introduces a new method to decrease the complexity of Takagi-Sugeno (TS) representations with sector nonlinearity. Takagi-Sugeno(TS) fuzzy control is a structured method deal with managing non-linear systems, first introduced in 1985. It depends on the utilization of fuzzysystem, which represent a collection of If-Then fuzzy regulations with regional linear descriptions in the consequent parts. The proposedmethod uses linear interconnections among submodels to simplify the TS fuzzy model, resulting in fewer rules and maintaining equivalence tothe original model. The simplified model is demonstrated as a combination of (p + 1) matrices that are affine, with stability analysis andcontroller design performed using linear matrix inequalities. The suggested technique has been shown on inverted pendulum model, showingthe benefits of reduced complexity for of nonlinear control systems. The reduced-complexity model may result in conservative stabilityconditions compared to the classical TS fuzzy approach, but offers a significant reduction in numerical complexity and increased computationalefficiency for complex systems.