On Energy-to-Peak Filtering for Nonuniformly Sampled Nonlinear Systems: A Markovian Jump System Approach
On Energy-to-Peak Filtering for Nonuniformly Sampled Nonlinear Systems: A Markovian Jump System Approach
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DOI：
10.1109/tfuzz.2013.2250291
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发表时间：
2014-02
影响因子：
11.9
通讯作者：
Hui Zhang;Yang Shi;Junmin Wang
中科院分区：
文献类型：
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作者：
Hui Zhang;Yang Shi;Junmin Wang
本文着重于非均匀采样非线性系统的滤波器设计，该系统可以通过高加木（Takagi-Sugeno）（T-S）模糊系统近似。测量的抽样周期是时间变化，并且输出的不均匀观测值是通过同质马尔可夫链建模的。提出了具有快速采样频率的模式依赖性估计器，以便估计可以跟踪要使用不均匀采样输出进行估计的信号。随着快速采样周期将非线性系统离散化。通过使用增强技术，可以获得相应的随机估计误差系统。通过研究估计误差系统的随机稳定性和能量对高峰性能，我们得出了基于线性的基质质量的足够条件。可以使用所提出的迭代算法来计算模式依赖性估计器的参数。两个示例用于演示设计过程和提出的设计方法的功效。
This paper focuses on the filter design for nonuniformly sampled nonlinear systems which can be approximated by Takagi-Sugeno (T-S) fuzzy systems. The sampling periods of the measurements are time varying, and the nonuniform observations of the outputs are modeled by a homogenous Markov chain. A mode-dependent estimator with a fast sampling frequency is proposed such that the estimation can track the signal to be estimated with the nonuniformly sampled outputs. The nonlinear systems are discretized with the fast sampling period. By using an augmentation technique, the corresponding stochastic estimation error system is obtained. By studying the stochastic stability and the energy-to-peak performance of the estimation error system, we derive the linear-matrix-inequality-based sufficient conditions. The parameters of the mode-dependent estimator can be calculated by using the proposed iterative algorithm. Two examples are used to demonstrate the design procedure and the efficacy of the proposed design method.