Cheng Jun, Xiang Huili, Wang Hailing, Liu Zhijun, Hou Liyuan
School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, PR China.
School of Science, Hubei University for Nationalities, Enshi, Hubei 445000, PR China.
ISA Trans. 2016 Jan;60:74-81. doi: 10.1016/j.isatra.2015.10.021. Epub 2015 Nov 17.
This paper studies the finite-time stochastic contractive boundedness problem for a class of Markovian jump linear systems subject to input constraints. First of all, by employing exogenous disturbance, two novel concepts, namely finite-time stochastic contractive stability (FTSCS) and finite-time stochastic contractive boundedness (FTSCB) are introduced. Secondly, a relaxation scheme for incomplete (i.e., partly known, unknown, and uncertain) transition probability descriptions is introduced. Then, two kinds of design methodology of observer-based controllers are proposed. All the design conditions are established by employing a set of linear matrix inequalities (LMIs). At last, numerical examples are given to demonstrate the effectiveness of the proposed approach.
本文研究了一类受输入约束的马尔可夫跳跃线性系统的有限时间随机收缩有界性问题。首先，通过引入外部干扰，提出了两个新的概念，即有限时间随机收缩稳定性（FTSCS）和有限时间随机收缩有界性（FTSCB）。其次，引入了一种针对不完整（即部分已知、未知和不确定）转移概率描述的松弛方案。然后，提出了两种基于观测器的控制器设计方法。所有设计条件均通过一组线性矩阵不等式（LMI）建立。最后，给出数值例子以验证所提方法的有效性。
