Networked control for T-S fuzzy descriptor systems with network-induced delay and packet disordering

The idea of network-induced delay and packet disordering processing unit (DDPU) using fuzzy rules is presented for the first time to handle the network-induced delay and packet disordering synchronously in T-S fuzzy descriptor systems communicated by network. Particularly, there are two crucial variables in DDPU, which come from the delays of two packets arriving at actuator successively, to characterize the levels of those two network problems, respectively. Under the assumptions of bounded network-induced delay and bounded survival interval of a packet, these two variables are then served as premise variables of the DDPU module. Then, it is quite reasonable that four IF-THEN fuzzy rules are employed, provided that every fuzzy premise variable is described by two fuzzy sets. Furthermore, considering that the derivative of time-varying input delay is 1, a new Lyapunov-Krasovskii functional is designed for T-S fuzzy descriptor systems with input delay. A sufficient condition for the admissibility problem of T-S fuzzy descriptor systems is obtained in terms of strict linear matrix inequalities (LMIs). Finally, example results are presented to illustrate the usefulness and effectiveness of the proposed fuzzy DDPU method. (c) 2017 Elsevier B.V. All rights reserved.