Static output feedback stabilization for nonlinear interval time-delay systems via fuzzy control approach

This paper addresses the problem of static output-feedback controller design for nonlinear interval time-delay systems based on the Takagi-Sugeno fuzzy model. Sufficient conditions to guarantee the robust stability for considered systems are derived in term of the matrix measures of the system matrices of the linear subsystems in the consequent parts of fuzzy rules. By using linear matrix inequalities, we provide a method of obtaining a static output -feedback controller that can stabilize the system. Although the results obtained in this paper are believed to be more restrictive, it can provide an effective solution to stabilize more complex systems that are uncertain, time-delay, and ill defined. Finally, an example is provided to illustrate the effectiveness of our approach. Index Terms — Fuzzy control; Matrix measure; Robust control; Linear Matrix Inequality; time-delay.