传感器饱和约束下非线性切换系统鲁棒 L 1 滤波

为解决传感器饱和约束问题, 研究了一类非线性时滞切换系统的鲁棒 L 1 滤波。 所考虑的非线性时滞切换 系统具有满足李普希茨约束条件的非线性和范数有界不确定性。 基于平均驻留时间法(ADT: Average Dwell Time), 通过构造一个时滞依赖的 Lyapunov 函数, 建立传感器饱和约束下非线性切换系统的时滞相关峰值鄄峰值 (L 1 )性能判据, 并将滤波器的设计转化为求解一组线性矩阵不等式的凸优化问题。 最后, 通过仿真算例验证 了该方法的有效性。

Robust L1 Filtering for Switched Systems Subject to Sensor Saturation

In order to solve the problem of sensor saturation constraints,a robust L1filter for a class of nonlinear time-delay switching systems is studied.The nonlinear switched systems with nonlinear time-delay satisfy lipschitz constraint condition and norm bounded uncertainties.By constructing a delay-dependent Lyapunov function and utilizing the minimum average dwell time method,a delay-dependent peak-to-peak(L1)criterion is established for the nonlinear delay switched systems subject to sensor saturation,the design of filter is converted into a convex optimization problem of solving a set of linear matrix inequalities.Finally, a simulation example illustrates the effectiveness of the proposed approach.