开关网络的量子控制
Control of Switched Networks via Quantum Methods
摘要：
我们说明了一种技术，用于指定分段常数控制类的开关电气网络，通常用于在直流-直流转换器中转换功率。这个过程利用SU（2）的分解来获得分段常数的控制，并且可以被约束为值为0或1的bang-bang。完整的结果，提出了一个三阶网络第一。最后给出了一个例子，说明该基本策略对四阶电路是可行的。前者在SO（3）上演化，后者在SO（4）上演化。由于前者与SU（2）密切相关，而后者与SU（2）xSU（2）相关，因此本文的方法使用SU（2）的因子分解。本文所研究的系统是具有漂移的单输入系统。在本文中，没有近似或其他手段来消除漂移。相反，漂移在控制的确定中很重要。周期性参数很少使用。
英文摘要：
We illustrate a technique for specifying piecewise constant controls for classes of switched electrical networks, typically used in converting power in a dc-dc converter. This procedure makes use of decompositions of SU(2) to obtain controls that are piecewise constant and can be constrained to be bang-bang with values 0 or 1. Complete results are presented for a third order network first. An example, which shows that the basic strategy is viable for fourth order circuits, is also given. The former evolves on SO(3), while the latter evolves on SO(4). Since the former group is intimately related to SU(2) while the latter is related to SU(2)xSU(2), the methodology of this paper uses factorizations of SU(2). The systems in this paper are single input systems with drift. In this paper, no approximations or other artifices are used to remove the drift. Instead, the drift is important in the determination of the controls. Periodicity arguments are rarely used.
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