随机非线性时滞控制系统的H滤波器设计

H Filter Design for a Class of Stochastic Non-linear Time-delay Control Systems

  • 摘要: 研究了一类含有随机传感器故障和itô过程的非线性时滞控制系统的H滤波器设计问题.主要完成下述工作: (1) 含有itô过程的非线性时滞控制系统的T-S模糊模型的建立;(2) 建立传感器随机故障的数学模型;(3) 基于时滞划分技术推导出滤波误差系统在概率空间上全局渐近稳定且满足H性能指标的充分条件;(4) 进一步得出显式表示的滤波器参数,该滤波器参数可通过求解一组线性矩阵不等式(LMIs)得到.最后通过数值例子说明设计的有效性和可靠性.

     

    Abstract: In this paper, we investigate the H filter design problem for a class of non-linear time-delay control systems with random sensor failure and process. The main aspects of our work are as follows. (a) We use a Takagi-Sugeno (T-S) fuzzy model to describe non-linear time-delay dynamic systems with process. (b) We model a system with a random sensor failure. (c) Using the delay partitioning technique, we deduce the sufficiency condition that the filtering error system is asymptotically stable in the global probability space and that it reaches H performance. (d) We provide further filter parameters, and determine the filter coefficient matrices by solving a set of linear matrix inequalities (LMIs). Finally, we give a numerical example to show the effectiveness and reliability of the proposed method.

     

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