饱和约束下NNCS鲁棒容错少保守性判据与设计  

Less-conservative Criterion and Design of Robust Fault-tolerant for NNCS under Saturation Constraint

作　　者：曹慧超[1] 李炜[1] 

机构地区：[1]兰州理工大学电气工程与信息工程学院,兰州730050

出　　处：《计算机科学》2015年第B11期247-252,262,共7页Computer Science

基　　金：国家自然科学基金项目(61364011);甘肃省自然科学基金项目(1308RJZA148);兰州理工大学校基金项目(03-0099)资助

摘　　要：对执行器饱和约束与故障情形下不确定非线性网络化控制系统(NNCS)的鲁棒H∞容错设计问题进行了研究。为了获得少保守性判据准则,构造了适当的时滞依赖Lyapunov-Krasovskii(L-K)泛函,采用了一种下界比常用Jensen积分不等式更紧的改进型Wirtinger积分不等式,推导出了使执行器饱和闭环故障NNCS具有鲁棒H∞容错性能的少保守性判据,并通过求解LMIs的方式给出了鲁棒容错控制器的设计方法。最后,通过仿真算例验证了所提方法的有效性,进而又求取了最大允许时延及最小扰动抑制率,并与已有类似结果进行比较,揭示了本方法所得结论的少保守性;另外,所提方法由于亦未引入除L-K泛函以外的决策变量,因此具有较低计算复杂度。The problem of robust Ha fault-tolerant design was investigated for uncertain nonlinear networked control system（NNCS） under actuator saturation constraint and fault. In order to obtain less-conservative criterion, an appropriate delay-dependent Lyapunov-Krasovskii functional was constructed,and the improved Wirtinger integral inequality was used,which possesses tighter lower-bound than Jensen integral inequality. Then, a less-conservative criterion was derived to guarantee robust H∞ faulbtolerant performance for the closed-loop fault NNCS with actuator saturation,and the design method of robust fault-tolerant controller was given by solving LMIs. Finally, numerical example was given to verify the effectiveness of the proposed method, and the less conservativeness of the proposed criterion was revealed by solving and comparing the maximum allowable delay and the minimum disturbance attenuation with some of the ex- isting results. In addition, there is no introduction of any new decision variable apart from the matrix variable in the L-K functional, and then low computational complexity of the conclusion can be obtained.

关 键 词：非线性网络化控制系统 执行器饱和 鲁棒容错 少保守性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP302.8[自动化与计算机技术—控制科学与工程]