Robust Static Output Feedback Approach for Optimal Fuzzy HTracking Control Problem of Nonlinear Uncertain Time-DelaySystems

This paper is concerned with the problem of robust static outputfeedback fuzzy H  tracking control design for nonlinear uncertain timedelaysystems. The nonlinear system is approximated by Takagi andSugeno (T-S) fuzzy modeling scheme. The controller is in a ParallelDistributed Compensation (PDC) form. The final controller shouldresults in robust stability of the closed-loop system and guaranteeing therequired H  tracking control norm to some reference and boundedsignals for all the admissible realizations of the uncertainty in thesystem. Linear Matrix Inequality (LMI) conditions together with someLinear Matrix Equality (LME) requirements are offered to design sucha static gain for each local controller. In order to find the optimalsolution, an effective numerical method is developed. In two examples,the approach of the paper is examined.

Keywords:

Nonlinear systems , T-S fuzzy systems , static output feedback , tracking control , Time-delay systems