不确定离散时间切换线性系统的输出跟踪无扰控制
Bumpless Transfer Control for Output Tracking of Uncertain Discrete-Time Switched Linear Systems
DOI: 10.12677/aam.2026.155231, PDF,    国家自然科学基金支持
作者: 郭开达, 武力兵, 齐淑彦*：辽宁科技大学理学院，辽宁 鞍山
关键词: 切换线性系统；不确定性；输出跟踪；无扰控制；Switched Linear Systems； Uncertainty； Output Tracking； Bumpless Transfer Control
摘要: 本文针对一类具有不确定结构的离散时间切换线性系统，研究了其输出跟踪过程中的无扰控制问题。该研究旨在确保系统在模型不精确的情况下，消除或抑制由系统切换引起的控制输入突变现象，同时确保闭环系统的输出跟踪稳定性与良好的无扰性能。该目标通过协同设计状态依赖的切换逻辑与子控制器得以实现。首先，提出了一种无扰切换控制性能的描述框架，以兼顾系统的稳态跟踪精度与暂态平滑性。其次，基于多李雅普诺夫函数方法，给出了保证闭环系统实现输出跟踪稳定及无扰切换行为的充分条件。最后，数值仿真结果验证了所提出控制策略的有效性，表明该方法能在确保跟踪性能的同时显著降低控制突变的影响。
Abstract: This paper investigates the bumpless transfer control problem for a class of discrete-time switched linear systems with uncertain structures in the context of output tracking. The study aims to eliminate or suppress control input bumps caused by system switching in the presence of model inaccuracies, while simultaneously ensuring the output tracking stability of the closed-loop system and favorable bumpless switching performance. This objective is achieved through the coordinated design of state-dependent switching logic and sub-controllers. Firstly, a framework describing bumpless transfer control performance is proposed to balance steady-state tracking accuracy with transient smoothness. Secondly, based on the multiple Lyapunov functions method, sufficient conditions are established to guarantee both output tracking stability and bumpless transfer behavior of the closed-loop system. Finally, numerical simulation results verify the effectiveness of the proposed control strategy, demonstrating that the method significantly reduces the impact of control bumps while ensuring tracking performance.
文章引用：郭开达, 武力兵, 齐淑彦. 不确定离散时间切换线性系统的输出跟踪无扰控制[J]. 应用数学进展, 2026, 15(5): 310-321. https://doi.org/10.12677/aam.2026.155231

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