Technical communique: Sliding mode control with bounded L 2 gain performance of Markovian jump singular time-delay systems
Technical communique: Sliding mode control with bounded L 2 gain performance of Markovian jump singular time-delay systems
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DOI：
10.1016/j.automatica.2012.05.064
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发表时间：
2012-08
期刊：
影响因子：
6.4
通讯作者：
Ligang Wu;Xiaojie Su;P. Shi
中科院分区：
文献类型：
--
作者：
Ligang Wu;Xiaojie Su;P. Shi
本文研究了马尔可夫跳变广义时滞系统的滑模控制问题。目的是在滑模动态分析中考虑滑模变结构控制系统的有界增益特性，从而改善滑模变结构控制系统的瞬态性能。首先，提出了一个时滞相关的有界真实的引理，使系统在满足给定的有界增益性能条件下是随机容许的。通过引入奇异矩阵设计积分型切换面函数，使得滑模动态特性为全阶奇异马尔可夫跳变时滞系统。然后分析了滑模动力学，推导了期望切换面函数的可解性条件。此外，SMC法律的合成驱动系统轨迹上的预定义的切换表面在有限的时间。最后，数值例子来说明所提出的技术的有效性。
In this paper, we investigate the problem of sliding mode control (SMC) of Markovian jump singular time-delay systems. The aim is to consider the bounded ℒ2gain performance in the analysis of sliding mode dynamics, thus to improve the transient performance of the SMC system. Firstly, a delay-dependent bounded real lemma is proposed for the underlying system to be stochastically admissible while achieving the prescribed bounded ℒ2gain performance condition. An integral-type switching surface function is designed by taking the singular matrix into account, thus the resulting sliding mode dynamics is a full-order singular Markovian jump time-delay system. Then the sliding mode dynamics is analyzed and the solvability condition for the desired switching surface function is derived. Moreover, an SMC law is synthesized to drive the system trajectories onto the predefined switching surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed techniques.