Ren Yu, Sun Guanghui, Feng Zhiguang
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.
Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China.
ISA Trans. 2017 Sep;70:37-45. doi: 10.1016/j.isatra.2017.07.010. Epub 2017 Jul 20.
This paper concerns the exponential stabilization problem for a class of switched positive systems. The switching signal satisfies mode-dependent average dwell time (MDADT) and the state variables are partially unmeasurable. A further explanation of mode-dependent average dwell time is included. By employing a set of quasi-time variables, which is first proposed for switched systems with MDADT, new stability results are obtained for the switched nonlinear systems and the underlying linear systems. Observer-based stabilization controllers, both for single-input case and multi-input case, are designed such that the closed-loop system converges exponentially. The designed observers and controllers are both mode-dependent and quasi-time-dependent, which is proved to be less conservative than the ones only mode-dependent. A simplified design strategy is provided to reduce the computation burden. Illustrative examples are provided to demonstrate the effectiveness of the results.
本文研究一类切换正系统的指数镇定问题。切换信号满足模式依赖平均驻留时间（MDADT），且状态变量部分不可测。文中包含了对模式依赖平均驻留时间的进一步解释。通过使用一组首次针对具有MDADT的切换系统提出的准时间变量，得到了切换非线性系统和基础线性系统的新稳定性结果。针对单输入情况和多输入情况，设计了基于观测器的镇定控制器，使得闭环系统指数收敛。所设计的观测器和控制器均依赖于模式和准时间，事实证明，这比仅依赖于模式的观测器和控制器保守性更低。提供了一种简化的设计策略以减轻计算负担。给出了示例以证明结果的有效性。
