Dissipative control for state-saturated discrete time-varying systems with randomly occurring nonlinearities and missing measurements
Dissipative control for state-saturated discrete time-varying systems with randomly occurring nonlinearities and missing measurements
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DOI：
10.1080/00207179.2012.757652
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发表时间：
2013-04
影响因子：
2.1
通讯作者：
Derui Ding;Zidong Wang;Jun Hu;H. Shu
中科院分区：
文献类型：
--
作者：
Derui Ding;Zidong Wang;Jun Hu;H. Shu
研究了一类同时存在状态饱和、随机非线性和多个量测缺失的离散时变系统的耗散控制问题。为了使系统模型具有更强的实际意义，采用了一些条件概率已知的Bernoulli分布的白色序列来描述随机发生的非线性和多个测量缺失现象。所解决的问题的目的是设计一个时变输出反馈控制器，使得耗散性能指标在给定的有限时域内得到保证。通过引入一个无穷范数小于等于1的自由矩阵，使系统状态以凸船体为界，从而得到了以递归非线性矩阵不等式形式表示的充分条件。然后提出了一种新的控制器设计算法来处理递归非线性矩阵不等式。此外，所得结果被推广到状态饱和是部分饱和的情况。两个数值仿真例子证明了所提出的控制器设计方法的有效性和适用性。
In this paper, the dissipative control problem is investigated for a class of discrete time-varying systems with simultaneous presence of state saturations, randomly occurring nonlinearities as well as multiple missing measurements. In order to render more practical significance of the system model, some Bernoulli distributed white sequences with known conditional probabilities are adopted to describe the phenomena of the randomly occurring nonlinearities and the multiple missing measurements. The purpose of the addressed problem is to design a time-varying output-feedback controller such that the dissipativity performance index is guaranteed over a given finite-horizon. By introducing a free matrix with its infinity norm less than or equal to 1, the system state is bounded by a convex hull so that some sufficient conditions can be obtained in the form of recursive nonlinear matrix inequalities. A novel controller design algorithm is then developed to deal with the recursive nonlinear matrix inequalities. Furthermore, the obtained results are extended to the case when the state saturation is partial. Two numerical simulation examples are provided to demonstrate the effectiveness and applicability of the proposed controller design approach.