Abstract:

 Feedback stabilization for a class of distributed parameter switched systems (DPSS) with time-delay is studied. By constructing Lyapunov functions and employing the Green formula, several sufficient conditions of state feedback stabilization for a class of DPSS with constant time delay are derived. These conditions are described using a group of linear matrix inequalities (LMI). Thus design of state feedback controllers of DPSS is converted to a group of LMI. The controllers can be solved efficiently with the Matlab LMI toolbox. In addition, the proposed method has the advantage that the criteria can easily be checked and applied. A numerical example is given to illustrate validity of the design method.

Key words: distributed parameter systems, switched systems, time delay, linear matrix inequality