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Performance assessment of switched control systems based on tensor space approach

机译：基于张量空间法的开关控制系统性能评估

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Based on tensor space, a new performance assessment approach is proposed for switched control systems in this paper. Switched control system is widely existing in industrial processes, especially in safety-important processes where the systems controlled may be switched by protection logic during accident. Clearly, bad performance of control and protection strategies will eventually drive the system to a dangerous condition. To treat this problem, one may set up a performance assessment procedure for the switched control systems using multiple model method, where performance is evaluated through assessment of every individual submodel of the switched system. Obviously, this approach ignores interaction nature between control algorithm and protection strategy. The proposed method can capture the interaction nature of control and protection systems. In the tensor space, the interacting relation of control and protection systems can be synthetically represented by adding the logical switching space. Specifically, the tensor space modeling representation for switched systems has been developed, which can actually model the high coupling interaction of control and protection systems. The data-driven tensor space algorithm based on higher-order singular value decomposition has also been developed to assess the performance of switched control systems. By using orthogonal projection in tensor space extended from the matrix space, prediction error approach has been employed to obtain the optimal prediction error variance being as the control performance benchmark for performance assessment. Finally, numerical simulation examples are presented to illustrate the rationality and effectiveness of tensor space approach by comparing with the multiple model approach. Copyright (c) 2015 John Wiley & Sons, Ltd.
机译：基于张量空间，本文提出了一种新的开关控制系统性能评估方法。开关控制系统广泛存在于工业过程中，特别是在安全性很重要的过程中，在事故发生期间，可以通过保护逻辑来切换受控系统。显然，控制和保护策略的不良性能最终将使系统陷入危险状态。为了解决这个问题，可以使用多模型方法为交换控制系统建立性能评估程序，其中通过评估交换系统的每个子模型来评估性能。显然，这种方法忽略了控制算法和保护策略之间的交互性质。所提出的方法可以捕获控制和保护系统的交互性质。在张量空间中，控制和保护系统的相互作用关系可以通过添加逻辑交换空间来综合表示。特别地，已经开发出用于开关系统的张量空间建模表示，其实际上可以对控制和保护系统的高耦合交互进行建模。还开发了基于高阶奇异值分解的数据驱动张量空间算法来评估开关控制系统的性能。通过在从矩阵空间扩展的张量空间中使用正交投影，采用预测误差方法来获得最佳预测误差方差，作为性能评估的控制性能基准。最后，通过数值算例，与多模型方法进行比较，说明张量空间方法的合理性和有效性。版权所有（c）2015 John Wiley＆Sons，Ltd.

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