IEEE Trans Cybern. 2017 May;47(5):1122-1132. doi: 10.1109/TCYB.2016.2533426. Epub 2016 Apr 20.
This paper investigates incremental passivity and output regulation for switched discrete-time systems. We develop the results in two parts. First of all, a concept of incremental passivity is proposed to describe the overall incremental passivity property of a switched discrete-time system in the absence of the classic incremental passivity property of the subsystems. A condition for incremental passivity is given. A certain negative output feedback is designed to produce asymptotic stability. Incremental passivity is shown to be preserved under feedback interconnection. The second part of this paper is concerned with an application of the incremental passivity theory to the output regulation problem for switched discrete-time systems. The key idea is to construct a switched internal model with incremental passivity, which closely links the solvability of the output regulation problem. A characteristic of the switched internal model is that it does not necessarily switch synchronously with the controlled plant, which greatly increases the freedom of design. Once such a switched internal model is established, the output regulation problem is then solved by construction of the feedback interconnection between the controlled plant and the switched internal model. The main usefulness of the strategy is to get rid of the solvability of the output regulation problem for the subsystems.
本文研究了切换离散时间系统的增量无源和输出调节。我们将结果分为两部分进行研究。首先，提出了增量无源的概念，以描述在子系统不具有经典增量无源性质的情况下切换离散时间系统的整体增量无源性质。给出了增量无源的条件。设计了一定的负输出反馈以产生渐近稳定性。在反馈互联下，增量无源性得以保持。本文的第二部分关注于将增量无源理论应用于切换离散时间系统的输出调节问题。关键思想是构造具有增量无源性的切换内部模型，这与输出调节问题的可解性紧密相关。切换内部模型的一个特点是它不必与被控对象同步切换，这大大增加了设计的自由度。一旦建立了这样的切换内部模型，就可以通过在被控对象和切换内部模型之间构建反馈互联来解决输出调节问题。该策略的主要优点是摆脱了子系统输出调节问题的可解性。
