同时考虑量化误差的网络化控制系统鲁棒H_∞完整性设计  

Robust H_∞ integrity design of networked control system with quantizing error

作　　者：李炜[1] 吴晰源[1] 赵正天[1] 李二超[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：《计算机应用研究》2012年第6期2120-2125,2134,共7页Application Research of Computers

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

摘　　要：针对同时存在时变时延、丢包和信息量化的参数线性不确定网络化控制系统,在执行器失效故障和外界有限能量扰动共存的情形下,基于状态多时延模型,通过构造时滞且量化误差依赖的Lyapunov-Krasovskii泛函,给出了使不确定网络化控制系统具有鲁棒H∞完整性的判决准则和控制器的设计方法。还进一步讨论了故障网络化控制系统稳定运行的最大允许时延和最大允许量化误差,并以此为依据对H∞性能指标进行了优化,给出了鲁棒H∞最优容错控制器设计方法。由于模型中考虑了时延下界,证明过程引入适当自由权矩阵变量且未进行模型转换,使得其结果具有较少保守性。仿真结果验证了该方法的有效性。For a class of uncertain networked control system with time-varying delay,packet dropout and quantization,taken into consideration actuator failures and finite energy disturbances,based on the model with multiple successive delays in the state,this paper gave a stability criterion for the closed-loop system with robust H∞ integrity through constructing delay-dependent and quantizing error-dependent Lyapunov-Krasovskii functional,while also gave a method of the robust fault-tolerant H∞ controller design.In addition,it discussed the maximum allowable delay and the maximum allowable quantizing error when the fault network control system operated stably.Based on this,it optimized H∞ performance index and gave a method of the optimal robust fault-tolerant H∞ controller design.The result shows that the model obtained less conservative method since the lower bound of the time-delay and appropriate free-weighting matrices being introduced,moreover without model transformation during the proof.Finally,a numerical example illustrates the effectiveness of the proposed method.

关 键 词：网络化控制系统 时变时延 丢包 量化 最大允许量化误差 最大允许时延 H∞容错控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]