Dynamic parallel distributed compensation for Takagi-Sugeno fuzzy systems: An LMI approach

This paper presents a uniied systematic framework for designing dynamic feedback controllers for nonlinear systems described by Takagi-Sugeno (T-S) models. Both stabilization and multi-objective control synthesis problems have been addressed. The control laws are in the form of so-called dynamic parallel distributed compensation (DPDC) which are essentially nonlinear dynamic feedback controllers. The associated control synthesis problems are formulated as LMI problems, i.e., the parameters of the DPDC controllers are obtained from a set of LMI conditions. The approach in this paper can also be applied to hybrid or switching systems.