基于反馈无源化的切换非线性系统${H_\infty}$ 跟踪控制
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1.沈阳工业大学;2.沈阳城市学院

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TP13

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Passification-based ${H_\infty}$ Tracking Control for a Class of Switched Nonlinear Systems
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Shenyang University of Technology

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    摘要:

    针对切换非线性系统,提出一种基于反馈无源化的${H_\infty}$ 跟踪控制策略.首先,提出依赖状态切换的控制方法,在子系统不满足有界参考弱最小相位(BPWMP)这一标准假设时,给出了解决${H_\infty}$ 跟踪问题的充分条件.零状态可检测条件保证了切换系统的内部稳定性,无源不等式验证了切换非线性系统满足${H_\infty}$ 跟踪性能.其次,提出依赖时间切换的跟踪策略,得到${H_\infty}$ 跟踪问题的可解性条件.该方法不依赖系统内部状态进行切换,将系统输出和参考信号之间的误差作为控制输入,并计算出切换系统所要满足的平均驻留时间.最后给出仿真算例,以验证结果的有效性.

    Abstract:

    The passification-based ${H_\infty}$ tracking control problem for switched nonlinear systems is investigated. Firstly, the standard assumption, bounded reference weakly minimum phase (BRWMP), is not satisfied, an ${H_\infty}$ tracking performance of switched nonlinear systems is achieved based on the state-dependent switching method. The internal stability result is guaranteed by a zero-state detectability condition. Secondly, the time-dependent tracking control method is presented and the solvability of the ${H_\infty}$ tracking problem is given. This method is independent of the internal state and the error between the system output and the reference signal is taken as the input. The average dwell time is computed by virtue of this method. Finally, a simulation example is illustrated to show the effectiveness of the result.

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历史
  • 收稿日期:2020-06-17
  • 最后修改日期:2021-07-23
  • 录用日期:2020-09-25
  • 在线发布日期: 2020-11-01
  • 出版日期: