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

This paper presents a unified systematic framework for designing dynamic fe edback controllers for nonlinear systems described by Takagi-Sugeno (T-S) m odels, Both stabilization and multi-objective control synthesis problems ha ve been addressed. The control laws are in the form of so-called dynamic pa rallel distributed compensation (DPDC) which are essentially nonlinear dyna mic feedback controllers. The associated control synthesis problems are for mulated as linear matrix inequality (LMI) problems, i.e,, the parameters of the DPDC controllers are obtained from a set of LMI conditions. The approa ch in this paper can also be applied to hybrid or switching systems. (C) 20 00 Published by Elsevier Science Inc. All rights reserved.