Liu Yuanyuan, Ma Yuechao
School of Science, Yanshan University, Qinhuangdao Hebei, 066004, PR China.
ISA Trans. 2021 Nov;117:1-15. doi: 10.1016/j.isatra.2021.01.038. Epub 2021 Jan 29.
The problem of non-fragile control for T-S fuzzy systems with parameter uncertainties is investigated in this paper. The focus is to construct an augmented Lyapunov-Krasovskii functional(LKF), single integral terms are processed by the method of an improved reciprocally convex inequality and integration by parts, which is derived to a new ht-depended stability criteria that finite-time bounded with extended dissipative for the closed-loop system. Furthermore, by using the linear matrix inequalities(LMIs), we can get the desired gain matrices of T-S fuzzy system. It is worth noting that these condition can derive to less conservative results than those existing approaches. And numerical examples are used to demonstrate the feasibility and superiority of the results.
本文研究了具有参数不确定性的T-S模糊系统的非脆弱控制问题。重点是构造一个增广Lyapunov-Krasovskii泛函（LKF），通过改进的互易凸不等式方法和分部积分法处理单积分项，从而得到一个新的依赖于ht的稳定性判据，该判据使得闭环系统在有限时间内有界且具有扩展耗散性。此外，通过使用线性矩阵不等式（LMI），可以得到T-S模糊系统所需的增益矩阵。值得注意的是，这些条件比现有方法能得出保守性更低的结果。并通过数值例子验证了结果的可行性和优越性。
