Observer-Based Relaxed H-infinity Control for Fuzzy Systems Using a Multiple Lyapunov Function
This short paper proposes a method of designing a fuzzy observer-based H-infinity controller for discrete-time Takagi-Sugeno (T-S) fuzzy systems. To enhance the applicability of the output-feedback controller and improve its performance, this short paper first builds a set of fuzzy control rules with premise variables different from those of the T-S fuzzy system, and sets the overall controller to be dependent on not only the current time but also the one-step-past information on the estimated fuzzy weighting functions. Then, based on the fuzzy control rules, this short paper establishes a less conservative H-infinity stabilization condition incorporated with a multiple Lyapunov function dependent on the estimated fuzzy weighting functions. Through a two-step design procedure, the H-infinity stabilization condition is formulated in terms of parameterized linear matrix equalities (PLMIs), which are reconverted into LMIs with the help of an efficient and effective relaxation scheme.
relaxation scheme fuzzy weighting-dependent lyapunov function (fwdlf) h-infinity performance observer-based fuzzy control non-parallel distributed compensation (non-pdc) scheme parameterized linear matrix inequalities (plmis)