On the State Observer Based Stabilization of T-S Systems with Maximum Convergence Rate

This paper presents improved relaxed stabilization conditions and designprocedures of state observer based controllers for continuous nonlinear systemsin T-S model representation. First, the T-S model approach for nonlinear systemsand some stabilization results are recalled. New stabilization conditions areobtained by relaxing those derived in previous works in this field. The asymptoticand exponential stabilization are considered with the maximization of theconvergence rate. Design procedures for stabilizing T-S observer basedcontroller using the concept of PDC (Parallel Distributed Compensation) andimproved relaxed stabilization conditions are proposed.