切换正时滞系统的无扰切换控制
Bumpless Transfer Control for Switched Positive Time-Delay Systems
摘要: 讨论切换正时滞系统的无扰切换控制问题。首先，通过构造一类多分段Lyapunov函数，设计一类具有驻留时间约束的状态依赖切换信号，得到切换正时滞系统有限时间有界的充分条件；其次，设计一类状态反馈控制器，得到闭环系统是有限时间有界的且满足无扰切换性能的充分条件；最后，给出一个数值例子验证所得结果的有效性。
Abstract: The bumpless transfer control of switched positive time-delay systems is discussed in this paper. Firstly, by constructing a class of multi-piecewise Lyapunov function, a class of state-dependent switching signals with dwell-time constraints is designed, and a sufficient condition for finite-time boundedness of switched positive time-delay systems is obtained. Secondly, a class of state feedback controllers is designed, and a sufficient condition is obtained for the closed-loop system to be finite-time bounded and have bumpless transfer performance. Finally, a numerical example is presented to demonstrate the efficacy of the derived results.
文章引用：刘浩荣, 刘婷婷, 赵一哲. 切换正时滞系统的无扰切换控制[J]. 理论数学, 2026, 16(5): 128-139. https://doi.org/10.12677/pm.2026.165136

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