具有α-稳定的NCS满意容错设计  

Satisfactory Fault-tolerant Design of NCS with α-stability

作　　者：李炜[1,2] 申富媛[1,2] 

机构地区：[1]兰州理工大学电气工程与信息工程学院,甘肃兰州730050 [2]甘肃省工业过程先进控制重点实验室,甘肃兰州730050

出　　处：《控制工程》2013年第1期149-154,共6页Control Engineering of China

基　　金：国家自然科学基金项目(60964003);甘肃省自然科学基金项目(096RJZA101)

摘　　要：针对具有时变时延和丢包的网络化控制系统,考虑参数不确定性和外界有限能量扰动的影响,研究了系统在执行器发生失效故障时的满意容错设计问题。将丢包当作一种特殊时延,综合考虑时延上、下界及变化率,通过构造适当的时滞依赖Lyapunov-Krasovskii泛函,推证出了具有两类不同被调输出的不确定闭环故障网络化控制系统,在α-稳定、H∞扰动衰减指标和广义H2三类指标共同约束下的满意容错设计准则,并以求解LMIs的方式给出了具有多指标约束的满意容错控制器的优化设计方法。由于证明过程未进行模型转换和引入其他自由权矩阵,Lyapunov-Krasovskii泛函中充分考虑了时延信息,并采用了较紧的积分不等式,因而结果具有较少保守性和计算量。最后以仿真算例验证了该方法的可行性和有效性。Considering parameter uncertainties and the influence of external disturbance with limited energy, the problem of satisfactory fault-tolerant design against actuator failures is investigated for a networked control system with time-varying delay and data-packet-drop- out. The packet-dropout is regarded as a special kind of delay, the upper and lower bound of delay, and delay variation are consid- ered. By constructing appropriate Lyapunov-Krasovakii functional, the satisfactory fault-tolerant design criterion is obtained to meet the required constraints on a-stability, H~ disturbance attenuation index and generalized H2 index simultaneously for the uncertain closed- loop fault networked control system with two kinds of different output, and also via solving several linear matrix inequalities, the opti- mization design method of fault-tolerant controller with many indexes constraint is derived. Because without that process model transfor- mation and introducing other free matrix, the time delay information is full considering in Lyapunov-Krasovakii functional, and used the tighter integral inequality, so the result is less conservative and calculation. Finally, an example is given to demonstrate the feasibility and effectiveness of the proposed approach.

关 键 词：不确定网络化控制系统 广义H2/H∞ 满意容错控制 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]