Abstract:

Based on linear matrix inequality, the problem of nonfragile H_∞ guaranteed cost for uncertain generalized systems with multiple timedelays was discussed, which stated matrix, state delay matrix and the controller gained both exist uncertainties. Firstly, a delaydependent sufficient condition was obtained, which ensures that the closedloop system is asymptotic stable, with H_∞ norm bound. Then a design method for nonfragile H_∞ guaranteed cost controller of the system was presented. In the end, a numerical example was given to illustrate  the effectiveness of the design method.

Key words: timedelay generalized system, H_∞ control, nonfragile control, guaranteed cost control, linear matrix inequality