切换正系统的分层无扰切换控制

Hierarchical bumpless transfer control of switched positive systems

中文关键词: 切换正系统  稳定性  无扰切换控制  分层策略

英文关键词: switched positive system  stability  bumpless transfer control  hierarchical strategy

中文摘要:

      研究一类切换正系统的分层无扰切换控制问题. 提出一种新的内积形式的模型依赖无扰切换控制定义. 为了兼顾系统的稳定性和无扰切换性能,为每个子系统设计两个控制器. 采用分层策略实现对切换正系统的无扰切换控制,上层切换决定子系统的激活次序,下层切换决定控制器的激活次序. 基于多余正Lyapunov函数方法,协同设计控制器和切换律,得到一个保证系统正性、稳定性和无扰切换性能的充分条件.最后,通过数值仿真算例对比验证所提方法的可行性.

英文摘要:

      The hierarchical bumpless transfer switched control for a class of switched positive systems is investigated. A novel definition of model-dependent bumpless transfer control in the form of an inner product is proposed. In order to balance the stability and bumpless transfer performance of the system, two controllers are designed for each subsystem. The hierarchical strategy is used to realize the bumpless transfer control of the switched positive system. The upper switching determines the activation order of the subsystem, and the lower switching determines the activation order of the controller. Based on the copositive Lyapunov function method, the controller and the switched law are designed cooperatively. A sufficient condition is obtained to ensure the positivity, stability, and bumpless transfer performance of the system. Finally, the feasibility of the proposed method is verified by a numerical simulation example.