A descriptor system approach to non-fragile H-infinity control for uncertain fuzzy neutral systems

作者：Yang, Jun^*; Zhong, Shouming; Mono, Lianglin

来源：Fuzzy Sets and Systems, 2009, 160(4): 423-438.

DOI：10.1016/j.fss.2008.06.015

• T-S fuzzy systems
• Neutral systems
• Uncertain systems
• Descriptor system approach
• Non-fragile H-infinity control
• Lyapunov-Krasovskii functional
• Linear matrix inequalities (LMIs)

In this paper, the problem of non-fragile H-infinity control for a class of uncertain Takagi-Sugeno (T-S) fuzzy neutral systems with linear fractional parametric uncertainties is considered. The non-fragile Hoc control problem is to design a state feedback controller with parameter uncertainties such that the L-2-induced gain of the mapping from the exogenous input to the controlled output is less than some prescribed level. Based on Lyapunov-Krasovskii functional, the descriptor model transformation and LMI approach, new sufficient conditions for solvability of this problem are obtained. It is shown that, by a novel controller design method, the desired feedback fuzzy controller can be constructed by solving a set of LMIs and the minimum H-infinity disturbance attenuation level can be obtained via using the LMI algorithm "minex". Finally, an illustrative numerical example is provided to demonstrate correctness and effectiveness of the theoretical results.

• 出版日期2009-2-16
• 单位电子科技大学