具有时延和丢包的非线性网络控制系统的切换稳定性研究  

Switching stabilization for nonlinear networked control systems with delays and packet losses

作　　者：张奇[1] 刘斌 Zhang Qi;Liu Bin(Engineering Research Center for Metallurgical Automation and Measurement Technology of Ministry of Education,Wuhan University of Science and Technology, Wuhan 430081;Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan 430081)

机构地区：[1]武汉科技大学冶金自动化与测量技术工程研究中心,武汉430081 [2]湖北省冶金过程系统科学重点实验室,武汉430081

出　　处：《高技术通讯》2020年第10期1068-1077,共10页Chinese High Technology Letters

基　　金：国家自然科学基金(61873197);湖北省重点实验室开放基金(Z201702)资助项目。

摘　　要：针对带有双边随机时延和丢包的非线性网络控制系统(NNCS),本文利用模型依赖的平均驻留时间(MDADT)方法研究了其系统的稳定性。采用Takagi-Sugeno(T-S)模糊模型表示系统中的非线性对象,使用不确定性方法表示系统中的随机时延,并使用切换系统方法表示系统的丢包过程,建立了参数不确定性的离散时间模糊切换系统模型。进一步地,根据慢切换和快切换相结合的MDADT方法,给出了切换系统状态满足的指数稳定性条件。通过非线性倒立摆仿真实验,验证了所提方法的有效性,并通过实验对比证明,对于处理非线性系统,根据T-S模糊模型所设计的模糊控制器比根据模型线性化后所设计的线性控制器具有更大的稳定范围。Aiming at nonlinear networked control system(NNCS)with bilateral network-induced random delay and packet dropout,this paper studies the stabilization of the system by using model-dependent average dwell time(MDADT).Takagi-Sugeno(T-S)fuzzy model is employed to represent the nonlinear controlled plant.The switched system approach is utilized to treat the packet dropouts and the random delays in the system are described as uncertain parameters.Based on these methods,the networked control system is modeled as a discrete-time fuzzy switched system model with uncertain parameters.Furthermore,the exponential stability condition for the state of the fuzzy switched system is obtained by using the combination of slow switching MDADT method and fast switching MDADT method.Finally,a series of nonlinear invert pendulum simulation experiments illustrate the effectiveness of the proposed method and prove that the proposed fuzzy controller based on T-S fuzzy model can stabilize the system in a greater state range than the linear controller based on linearization.

关 键 词：非线性网络控制系统(NNCS) Takagi-Sugeno(T-S)模糊模型 切换系统 模型依赖的平均驻留时间(MDADT) 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]