不确定时变时滞模糊系统的有限时间H_∞滤波

Finite-time H_∞ Filtering for Uncertain Fuzzy Systems with Time-varying Delays

研究了一类复杂非线性系统的有限时间H∞滤波问题。针对由Takagi-Sugeno模糊模型描述的复杂非线性系统,同时考虑其存在参数不确定性以及时变时滞的情形,给出系统有限时间有界的充分条件。在一般传统H∞滤波器设计的基础上,结合有限时间有界的概念,导出保证系统在有限时间内,其滤波误差能量小于一个给定上界的H∞滤波器设计方法。通过构造一个适当的Lyapunov-Krasovskii函数,并引入自由权矩阵,得到基于线性矩阵不等式的有限时间H∞滤波器参数的求解方法。自由权矩阵的引入,是一种处理时变时滞项的新方法,具有一定的研究价值。最后,通过仿真示例验证了该方法的有效性。

The finite-time H∞ fihering problem of a class of complex nonlinear systems is studied. The system is described by T-S fuzzy models subject to the parameter uncertainties and time-varying delays. A sufficient condition for finite-time boundedness is given. By introducing the concept of finite-time boundedness to the general H∞ filter, a finite time H∞ filter design approach is proposed, which can guarantee the energy of the filtering error system within a given upper bound in the finite time interval. By constructing an appropri- ate Lyapunov-Krasovskii function, as well as introducing some free-weighting matrices, the solution of finite-timeH∞ filter is derived in terms of linear matrix inequalities. The introduction of free-weighting matrices is a new method to deal with the items of time-varying de- lays, so it has some research value in one sense. The simulation results show the effectiveness of the developed approach.