Fuzzy Control of Nonlinear Time‐Delay Systems
Kazuo A. TANAKA, Hua O. Wang · 2001
In this chapter, a class of nonlinear time-delay systems based on the Takagi-Sugeno (T-S) fuzzy model is defined. The authors investigate the delay-independent stability of this model. A model-based fuzzy stabilization design utilizing the concept of parallel distributed compensation (PDC) is employed. The main idea of the controller design is to derive each control rule to compensate each rule of a fuzzy system. Moreover, the problem of H∞ control of this class of nonlinear time-delay systems is considered. The associated control synthesis problems are formulated as linear matrix inequality (LMI) problems.