H∞ Filtering for Nonlinear Systems with Time Delays via Takagi-Sugeno Fuzzy Model
State estimation is an important topic in controller design. H∞ filtering problem is discussed for fuzzy dynamical systems with time delays by using Takagi-Sugeno (T-S) model. Fuzzy H∞ filter is obtained such that the filtering error system is stable and guarantees a prescribed estimation error level. Delay-dependent Lyapunov functional approach is employed to lower the conservativeness of the filter design. Therefore, the results of fuzzy H∞ filter are delay-dependent. An example is given to illustrate the proposed results.
Hongbing Ji, Yixin Chen and Shengzhou Chen
J. S. Ren and X. K. Zhang, "H∞ Filtering for Nonlinear Systems with Time Delays via Takagi-Sugeno Fuzzy Model", Advanced Materials Research, Vols. 557-559, pp. 2033-2038, 2012