Observer-based sliding mode control for Itô stochastic time-delay systems with limited capacity channel

Observer-based sliding mode control for Itô stochastic time-delay systems with limited capacity channel
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DOI:
10.1016/j.jfranklin.2011.06.021
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发表时间:
2012-05
期刊:
J. Frankl. Inst.
影响因子:
--
通讯作者:
Ming Liu;Guanghui Sun
Ming Liu;Guanghui Sun
中科院分区:
其他
文献类型:
--
作者:
Ming Liu;Guanghui Sun

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研究了一类基于网络通信链路的伊藤随机时滞系统的滑模控制问题。被控对象与控制器之间的信号在有限容量的信道上交换,并在传输前进行对数量化。该网络控制问题的主要困难在于,由于q(y(t))是分段常数并且在量化器切换时间上不连续,因此不能直接基于量化输出q(y(t))来设计滑动模式表面。为了克服这个障碍,在本文中,状态观测器的设计产生的系统状态的估计,在此基础上的滑模控制器的设计,以稳定所产生的闭环系统。进一步说明了所设计的滑模控制器能够保证滑模面的可达性。数值仿真结果表明了设计控制方法的有效性。
This paper investigates the problem of sliding mode control for a class of Itô stochastic time-delay systems over network communication links. The signals between plant and controller are exchanged over limited capacity channel, and are subject to logarithmic quantization before being transmitted. The main difficulty in this networked control problem is that, a sliding mode surface cannot be designed based on quantized outputs q(y(t)) directly since q(y(t)) is a piecewise constant and is not continuous in the quantizer switching times. To overcome this obstacle, in this paper, a state observer is designed to generate the estimation of system states, based on which a sliding mode controller is designed to stabilize the resulting closed-loop system. It is furthermore illustrated that the designing sliding mode controller can guarantee the reachability of the addressed sliding surface. A numerical simulation is performed to illustrate the effectiveness of the design control technique.