Chattering analysis for discrete sliding mode control of distributed control systems

The chattering characteristic of sliding mode control is analyzed when it is applied in distributed control systems (DCSs). For a DCS with random time delay and packet dropout, a discrete switching system model with time varying sampling period is constructed based on the time delay system method. The reaching law based sliding mode controller is applied in the proposed system. The exponential stability condition in the form of linear matrix inequality is figured out based on the multi-Lyaponov function method. Then, the chattering characteristic is analyzed for the switching system, and a chattering region related with time varying sampling period and external disturbance is proposed. Finally, numerical examples are given to illustrate the validity of the analysis result.