传感器非线性的模糊随机系统H无穷控制和滤波问题研究

项目名称： 传感器非线性的模糊随机系统H无穷控制和滤波问题研究

项目编号： No.61503126

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 李秀英

作者单位： 黑龙江大学

项目金额： 20万元

中文摘要： 由于网络控制系统具有诸多优点，已在国民经济各领域中得到广泛应用。但是受网络带宽有限的影响，数据包在传输过程中不可避免的存在延迟、丢失、时序错乱以及外源的非线性干扰等问题，已引起越来越多国内外学者的关注。加之实际系统都是复杂的非线性系统，非线性和随机性的共同存在给网络控制系统的分析与综合带来本质的困难。本课题针对T-S模型描述的非线性对象，考虑可能发生的各种网络诱导现象，设计系统的模糊H无穷控制器和滤波器。首先建立模型统一描述数据包丢失、时滞、时序错乱以及传感器非线性等各种随机现象，在此基础上定义新的变量，将原系统转化为带有传感器非线性的多步随机时滞模糊全局系统；然后通过构建时滞依赖和非线性依赖的Lyapunov函数，对滤波误差系统和闭环控制系统进行均方稳定性分析；最后在降低保守性的前提下将关于待求参数的非线性矩阵不等式转化为线性矩阵不等式，从而得到控制器和滤波器LMI形式的解。

中文关键词： 网络控制系统；模糊系统；H无穷控制；H无穷滤波

英文摘要： The networked control systems have been widely used in various fields of the national economy because of many advantages they have. But affected by the limited network bandwidth, there exist the issues of delay, loss, disordering and exogenous nonlinear disturbance inevitably during the transmission of data packets which have attracted more and more attention of researchers at home and abroad. In addition, the actual system is always a complex nonlinear system, the existing of nonlinear and stochastic together bring essential difficulties for analysis and synthesis of networked control systems. The research topic is that design fuzzy H_infinity controller and filter for the T-S model based nonlinear systems taking the possible various network-induced phenomena into consideration. First of all, the model is established to describe the random phenomena of packet loss, delay, disordered and sensor nonlinearity in a unified framework. On the basis of this, the original system can be transformed into a multi-step stochastic time-delay systems with sensor nonlinearity by defining new stochastic variables. Then by constructing Lyapunov functional of delay-dependent and nonlinearity-dependent, the mean-square stability is analyzed for the closed-loop control system and filtering error system. Last, under the premise of lower conservatism, the solutions of controller and filter in the LMI form will be got by transforming the nonlinear matrix inequality about the unknown parameters into linear matrix inequalities.

英文关键词： Networked control system;Fuzzy system;H_infinity control ;H_infinity filtering