Bumpless transfer control for switched systems: A time-and state-dependent multiple Lyapunov function method

被引：12

作者：

Xie J. ^{[1
]}

Liu B. ^{[2
]}

Yang D. ^{[3
]}

Wang Y. ^{[1
]}

Zhang D. ^{[1
]}

机构：

[1] School of Artificial Intelligence, Shenyang University of Technology, Shenyang

[2] School of Information Science and Engineering, Shenyang University of Technology, Shenyang

[3] School of Engineering, Qufu Normal University, Shandong, Rizhao

来源：

Journal of the Franklin Institute | 2023年 / 360卷 / 04期

基金：

中国国家自然科学基金;

关键词：

732.1 Control Equipment - 921 Mathematics;

D O I：

10.1016/j.jfranklin.2023.01.004

中图分类号：

学科分类号：

摘要：

For switched systems, the time-and state-dependent multiple Lyapunov function method is set up to investigate the bumpless transfer control problem. The key point of the proposed study is to relax the decreasing assumption of traditional Lyapunov functions at switching points and the global limitation of the bumpless transfer constraint, which provides more freedom for solving the bumpless transfer control problem. First, the description of the bumpless transfer performance is proposed by using switching points directly, which makes the controller only constrain in the subinterval of the active interval rather than the whole active interval. Second, a switching controller with time-varying gain matrices and a mixed dwell time-and state-dependent switching signal are designed to reduce control bumps and avoid frequent switching. Third, based on the developed multiple Lyapunov function method, a solvability condition of the bumpless transfer control problem is developed. Finally, an example is given to show the availability of the bumpless transfer control strategy. © 2023 The Franklin Institute

引用

页码：2913 / 2930

页数：17

共 33 条

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