线性周期系统的参考控制器与最大输出容许集
Reference Governors and Maximal Output Admissible Sets for Linear Periodic Systems
摘要：
在本文中，我们考虑的线性周期（LP）系统的约束管理问题，使用参考总督（RG）。首先，我们给出了线性规划系统的最大输出容许集。我们在文献中的李雅普诺夫稳定的LP系统的输出约束，这出现在RG应用程序中的早期结果。我们表明，虽然这些系统的不变集可能不会被确定，一个有限确定的内部近似可以通过约束收紧。我们进一步表明，这些集合是通过简单的变换相关的，这意味着它足以计算只有一个实时应用程序。这大大减少了RG的内存负担，但代价是处理要求增加。我们提出了一个彻底的分析这种权衡。在本文的第二部分，我们讨论了两个RG公式，并讨论其可行性的标准和算法，他们的计算。数值模拟证明了该方法的有效性。
英文摘要：
In this paper, we consider the problem of constraint management in Linear Periodic (LP) systems using Reference Governors (RG). First, we present the periodic-invariant maximal output admissible sets for LP systems. We extend the earlier results in the literature to Lyapunov stable LP systems with output constraints, which arise in RG applications. We show that, while the invariant sets for these systems may not be finitely determined, a finitely-determined inner approximation can be obtained by constraint tightening. We further show that these sets are related via simple transformations, implying that it suffices to compute only one of them for real-time applications. This greatly reduces the memory burden of RG, at the expense of an increase in processing requirements. We present a thorough analysis of this trade-off. In the second part of this paper, we discuss two RG formulations and discuss their feasibility criteria and algorithms for their computation. Numerical simulations demonstrate the efficacy of the approach.
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