论文标题
带有量化执行器的系统的采样数据控制设计
Sampled-data control design for systems with quantized actuators
论文作者
论文摘要
本文讨论了针对连续时间线性控制系统设计采样的数据状态反馈控制法的问题,但要经过统一的输入量化。采样的数据状态反馈旨在确保围绕起源的吸引子的均匀全球渐近稳定性(UGA)。闭环系统被重写为混合动力学系统。为此,引入了引入采样事件的发生的辅助时钟变量。然后提出了具有可行性保证的数值可行性保证的算法,然后提出了基于凹形凸的分解,以最大程度地减少吸引子的大小。理论结果在数值示例中进行了说明。
This paper deals with the problem of designing a sampled-data state feedback control law for continuous-time linear control systems subject to uniform input quantization. The sampled-data state feedback is designed to ensure the uniform global asymptotic stability (UGAS) of an attractor surrounding the origin. The closed-loop system is rewritten as a hybrid dynamical system. To do this, an auxiliary clock variable triggering the occurrence of sampling events is introduced. A numerically tractable algorithm with feasibility guarantees, based on concave-convex decomposition, is then proposed allowing to minimize the size of the attractor. Theoretical results are illustrated in a numerical example.