Network scheduling and optimal guaranteed cost control co-design

In order to analyze the performance of control system affected by scheduling in networked control system (NCS), the guaranteed cost control (GCC) is researched integrating network scheduling. A scheduling model of NCS is established with communication constraint on input and feedback channels. Utilizing communication sequence to express the instance of scheduling, the model can be transform into uncertain discrete-time switch system. Under static scheduling, the research of guaranteed cost state feedback control is carried on utilizing the method of Multiple Lyapunov function, and then a sufficient condition for the existence of guaranteed cost controllers is derived via linear matrix inequalities (LMI). Furthermore, the method can be extended application to multi-system. The results of simulation show that the method can be use to analyze the variation of Guaranteed cost control on different communication sequence.