Passivity and Passification for Networked Control Systems
Passivity and Passification for Networked Control Systems
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DOI：
10.1137/060655110
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发表时间：
2007-09
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通讯作者：
Huijun Gao;Tongwen Chen;T. Chai
中科院分区：
文献类型：
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作者：
Huijun Gao;Tongwen Chen;T. Chai
本文研究基于网络的线性控制系统的无源性分析和无源化问题。首先，一个新的采样数据模型制定的基础上的ZOH（零阶保持），其中的物理对象和控制器的更新时刻，分别在连续时间和离散时间。在这个模型中，网络引起的延迟，数据包丢失，和信号测量量化已被考虑。测量量化器被假定为对数，网络引起的延迟被假定为具有下限和上限，这比文献中使用的那些假设更一般。其核心思想是将采样数据模型转化为一个状态中含有两个连续时滞分量的线性系统。然后，通过使用Lyapunov-Krasovskii方法加上自由加权矩阵技术，无源性性能条件的线性矩阵不等式（LMI）的形式制定。在此基础上，提出了两种设计无源化控制器的方法，保证了闭环网络控制系统的无源性。最后给出了两个示例：一个示例说明了引入传输时延下界的优点，并说明了量化行为对无源性能的影响;另一个示例说明了所提出的无源结果的适用性和有效性。
This paper investigates the problems of passivity analysis and passification for network-based linear control systems. A new sampled-data model is first formulated based on the updating instants of the ZOH (zeroth order hold), where the physical plant and the controller are, respectively, in continuous time and discrete time. In this model, network-induced delays, data packet dropouts, and signal measurement quantization have been taken into account. The measurement quantizer is assumed to be logarithmic, and the network-induced delays are assumed to have both a lower bound and an upper bound, which is more general than those assumptions used in the literature. The key idea is to transform the sampled-data model into a linear system with two successive delay components in the state. Then, by using a Lyapunov-Krasovskii approach plus the free weighting matrix technique, a passivity performance condition is formulated in the form of linear matrix inequalities (LMIs). Based on this condition, two procedures are proposed for designing passification controllers, which guarantee that the closed-loop networked control system (NCS) is passive. Finally, two illustrative examples are presented: one shows the advantage of introducing the lower bound of transmission delays and shows how much the quantization behavior affects the passivity performance; the other illustrates the applicability and effectiveness of the proposed passification results.