Robust non-quadratic static output feedback controller design for TakagiSugeno systems using descriptor redundancy
This work concerns robust static output feedback controller (SOFC) design for uncertain and disturbed TakagiSugeno (TS) systems using an H-infinity criterion. The main result is based on a descriptor formulation of the closed-loop dynamics. The proposed approach allows avoiding appearance of crossing terms between the controllers and the TS systems input matrices leading to easier LMI formulation than existing studies in the literature. Moreover, the proposed SOFC design conditions do not require any restrictions on the output equation and allow dealing with unmeasurable premise variables. Indeed, taking advantage of the uncertain TS modeling, nonlinearities associated to unmeasurable premises variables can be reported from the nominal part to the uncertainties. To provide LMIs of less conservatism, the results are conducted in the non-quadratic framework. Finally, two numerical examples and a benchmark of a crane system are proposed to illustrate the efficiency of the SOFC design methodology.
descriptor redundancy robust static output feedback controller lmi unmeasurable premise variables takagisugeno models non-quadratic stabilization