变参数网络控制系统的双模态离散跳变模糊控制  

Two-mode discrete-time jump fuzzy control of uncertain networked control system

作　　者：吴凤鸽[1,2] 孙富春[1,2] 刘华平[1,2] 李滋堤[1,2] 

机构地区：[1]清华大学智能技术与系统国家重点实验室,北京100084 [2]清华大学计算机科学与技术系,北京100084

出　　处：《东南大学学报（自然科学版）》2009年第S1期288-293,共6页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学杰出青年基金资助项目(60625304);国家自然科学基金资助项目(60621062;90716021);国家重大基础研究发展计划(973计划)资助项目(2007CB311003;2009CB724002)

摘　　要：研究了一类变参数非线性网络控制系统随机稳定性和控制器设计问题.针对具有有界随机延迟和数据包丢失的不确定网络控制系统,提出一种离散时间跳变模糊方法,建立其双模态不确定Takagi-Sugeno模糊数学模型,综合刻画了网络的有界随机时延和丢包特性、网络传输的不对称性以及控制对象的不确定性非线性动力学现象.基于该模型,利用Lyapunov理论和线性矩阵不等式方法,推导出系统随机稳定的充分条件,给出了具有分段二次Lyapunov稳定与次优性能指标的保成本状态反馈模糊控制器的设计方法.该方法归结为一组双线性矩阵不等式,可利用同伦迭代算法求解.数例仿真结果表明,对于任意容许的不确定性,该方法设计的控制器能使系统随机稳定.The problem of stochastic stability and controller design for a class of uncertain nonlinear networked control systems(NCSs) is studied.Aiming at the NCSs with the stochastic but bounded delay and packets dropout,a discrete-time jump fuzzy method is presented,which implements the double-mode Takagi-Sugeno fuzzy modeling of the NCSs.This model describes the network characteristics of the stochastic but bounded delays,packets dropout,asymmetry,and uncertain nonlinear dynamics of controlled plants.Based on this model,by using the Lyapunov theory and the linear matrix inequality(LMI) approach,sufficient conditions for stochastic stability of the system are derived,and the design method of the state feedback guaranteed cost controller with piecewise quadratic Lyapunov stability and the sub-optimal performance index is also obtained.The design approach can be cast into a set of bilinear matrix inequalities(BMI),which can be solved by the proposed homotopy algorithm.The results of an numerical example and simulations demonstrate that for any allowable uncertainty the proposed controller can make the system stochastically stable.

关 键 词：网络控制 双模态 变参数 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]