LIU Li-li1,2, PENG Ji-gen2
(1 College of Mathematics and Information Science,Shaanxi Normal University, Xi′an 710062, Shaanxi, China; 2 School of Science, Xi′an Jiaotong University, Xi′an 710049, Shaanxi, China)
Abstract:
H∞ control problem of singularly perturbed systems is discussed by using linear matrix inequality approach. Combining a singularly perturbed system with the related generalized system, a condition for the H∞ performance of singularly perturbed systems is derived. Based on it, a sub-optimal controller is explicitly constructed.The proposed result can be applied not only to standard case,but also to nonstandard singularly perturbed systems. The result of a simulated example shows that the method is effective.
KeyWords:
singularly perturbed system; singular system; H∞control; linear matrix inequality
