In the linear system control, the traditional invariance-based explicit reference governor (ERG) method provides a solution to the control of a class of systems subject to state and control constraints, while there still exist some limitations on the form of system models, which hinders its wider application. In response to this situation, we propose the invariance-based explicit reference control (IERC) which is composed of double-invariance-based explicit reference governor (DIERG) and anti-windup controller (AWC). Specifically, the DIERG forces the system states at the intersection of two invariant sets including the constraint-based invariant set and performance-based invariant set; the AWC adopts amplified artificial amplitudes in control constraints to make the obtained two invariant sets tolerant to some degree of saturation. The advantages of the proposed design methodology are illustrated through the simulation studies.

在线性系统控制中，传统的基于不变性的显式参考调速器（ERG）方法为一类受状态和控制约束的系统的控制提供了一种解决方案，但系统模型的形式仍然存在一定的局限性。阻碍了其更广泛的应用。针对这种情况，我们提出了基于不变性的显式参考控制（IERC），它由基于双不变性的显式参考调节器（DIERG）和抗饱和控制器（AWC）组成。具体来说，DIERG 将系统状态强制在两个不变集的交集处，包括基于约束的不变集和基于性能的不变集；AWC在控制约束中采用放大的人工幅度，使获得的两个不变集能够容忍一些饱和度。通过仿真研究说明了所提出的设计方法的优点。