H_∞ tracking control of two‐dimensional fuzzy networked systems

Abstract

Summary In this article, the H∞ tracking control problem is first considered for two‐dimensional fuzzy networked control systems. The system is described by fuzzy blending of the so‐called second Fornasini‐Marchesini local linear state‐space model. Based on the fuzzy model, an observer‐based state feedback controller is employed to guarantee the H∞ tracking performance. The separation property is established in the case of observer‐based H∞ tracking control framework, that is, the controller gains and observer gains can be simultaneously obtained by solving two sets of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed method.

Security-Guaranteed Fuzzy Networked State Estimation for 2-D Systems With Multiple Sensor Arrays Subject to Deception Attacks

“…Very recently, the fuzzy-model-based state estimation problem has attracted some initial research attention for nonlinear 2-D systems. For example, with help of T-S fuzzy approximation, the observer design problem has been discussed in [54]- [57] for 2-D systems characterized by the Fornasini-Marchesini model for the purpose of dynamic output-feedback control. Similarly, in [51], [52], the state estimation problem for 2-D Roesser systems has been examined based upon the T-S fuzzy methodology.…”

Output tracking control for 2‐D discrete systems with actuator failures

“…And, in Reference 31, the robust $$$ {H}_{\infty } $$$ tracking control problem for uncertain Markovian jump systems with interval time‐varying delay has been studied. Almost all of the existing research in tracking control have been focused on one‐dimensional systems, and for 2‐D systems, we cite Reference 32, where the $$$ {H}_{\infty } $$$ tracking control problem for 2‐D discrete fuzzy networked control systems described by the second Fornasini‐Marchesini model has been discussed.…”