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研究了一类含有随机传感器故障和it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it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.
The problem of H∞ filter design for a class of nonlinear time-delay control systems with stochastic sensor failure and it processes is studied. The main work is as follows: (1) TS fuzzy control for nonlinear time-delay control systems with it processes (2) establishing a mathematical model of sensor random failure; (3) based on time-delay technology, the sufficient condition for global stability of filter error system to meet H∞ performance index in the probability space is deduced; (4) Obtained explicit filter parameters, the filter parameters can be obtained by solving a set of linear matrix inequalities (LMIs) obtained.Finally numerical examples illustrate the effectiveness and reliability of the design.