执行器故障不确定非线性NCS鲁棒满意容错设计  

Robust Satisfactory Fault-tolerant Design for Uncertain Nonlinear NCS with Actuator Fault

作　　者：李炜[1] 赵莉[1,2] 康莉莎[1] 王君[1] 

机构地区：[1]兰州理工大学电信工程与信息工程学院甘肃省工业过程先进控制重点实验室,兰州730050 [2]陇东学院电气工程学院,甘肃省庆阳市745000

出　　处：《系统仿真学报》2014年第11期2668-2674,2681,共8页Journal of System Simulation

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)

摘　　要：针对一类具有更一般执行器故障的不确定非线性网络化控制系统,考虑时延和丢包的影响,基于状态反馈策略,将其建模为具有状态区间时变时延的T-S模糊模型,通过构造适当的时滞依赖Lyapunov-Krasovskii泛函,推证出了使不确定非线性网络化控制系统同时具有α-稳定、H扰动抑制及广义H2等多性能指标约束的鲁棒满意容错判决准则,并给出了相应控制器的优化求解方法。由于证明中仅采用Jensen及更紧界的Jensen改进不等式处理相关积分项,而未引入其他辅助自由权矩阵,因此在减少结论保守性的同时降低了计算复杂度。最后以仿真示例验证了所述方法的有效性和可行性。Considering time-varying delay and packet dropout, the problem of robust satisfactory fault-tolerant design was investigated for a class of uncertain nonlinear networked control system with actuator more generally failures. Based on the state feedback control strategy, the uncertain nonlinear networked control system was modeled into the T-S fuzzy system with state interval time-varying delay. By constructing appropriate dependent-delay Lyapunov-Krasovakii functional, the robust satisfactory fault-tolerant design criterion was obtained to meet the required constraints of α-stability, H_∞ disturbance attenuation index and generalized H_2 index simultaneously for the uncertain nonlinear networked control system. At the same time, the optimization design method of controller was given. During the course of certification, the approach only adopted Jensen inequality and a tighter bound of improved Jensen inequality to deal with integral items, and not employed any free-weighting matrices. Thus, less conservative results and lower computation complexities were obtained simultaneously. A simulation example demonstrates the feasibility and effectiveness of the proposed approach.

关 键 词：非线性网络化控制系统 T-S模糊模型 广义H2 满意容错控制 

分 类 号：TP302.8[自动化与计算机技术—计算机系统结构]