School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, PR China.
ISA Trans. 2013 Nov;52(6):768-74. doi: 10.1016/j.isatra.2013.07.015. Epub 2013 Aug 16.
This paper is concerned with the problem of finite-time H∞ control for a class of Markovian jump systems with mode-dependent time-varying delays via new Lyapunov functionals. In order to reduce conservatism, a new Lyapunov-Krasovskii functional is constructed. Based on the derived condition, the reliable H∞ control problem is solved, and the system trajectory stays within a prescribed bound during a specified time interval. Finally, numerical examples are given to demonstrate the proposed approach is more effective than some existing ones.
本文研究了一类依赖于模态的时变时滞马尔可夫跳变系统的有限时间 H∞控制问题，通过新的李雅普诺夫泛函。为了减少保守性，构造了一个新的李雅普诺夫-克拉索夫斯基泛函。基于所得条件，解决了可靠的 H∞控制问题，在指定时间间隔内系统轨迹保持在给定的范围内。最后，通过数值例子验证了所提出的方法比一些现有的方法更有效。
