A reference governor for linear systems with polynomial constraints
A reference governor for linear systems with polynomial constraints
复制标题
具有多项式约束的线性系统的参考调节器
DOI：
10.1016/j.automatica.2022.110313
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发表时间：
2022
期刊：
影响因子：
6.4
通讯作者：
Kolmanovsky, Ilya V.
中科院分区：
文献类型：
--
作者：
Burlion, Laurent;Schieni, Rick;Kolmanovsky, Ilya V.
研究了一类线性离散时间系统的参考调速器设计问题，其约束条件由多项式不等式给出，参考指令为常数。对于这样的系统，我们提出了一种新的算法来计算最大输出容许集。参考总督解决了一个约束的非线性最小化问题的初始化，然后使用二分法在随后的时间步骤。两个数值算例表明了该方法的有效性。
The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.