Robust sliding mode control for uncertain discrete singular systems with time-varying delays

Robust sliding mode control for uncertain discrete singular systems with time-varying delays
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时变时滞不确定离散奇异系统的鲁棒滑模控制

DOI:
10.1080/00207721.2016.1216200
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发表时间:
2017-03
影响因子:
4.3
通讯作者:
Jiang Baoping
Jiang Baoping
中科院分区:
计算机科学4区
文献类型:
--
作者:
Han Yueqiao;Kao Yonggui;Gao Cunchen;Jiang Baoping

文献摘要

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摘要研究了离散广义系统的鲁棒滑模控制问题,该系统包含时变时滞、参数不确定性和非线性摄动。构造了适当的离散滑动面函数,从而得到了相应的滑模动力学。利用一些自由权矩阵,建立了一个线性矩阵不等式约束,以确保闭环系统是正则、因果和稳定的。此外,考虑到改进的离散到达条件,综合了一种SMC律来达到运动,并且可以减弱抖振,而现有的文献很少将其用于研究离散变时滞广义系统的SMC问题。最后,通过实例对所设计的规律进行了验证。
ABSTRACT This paper investigates robust sliding mode control (SMC) for discrete singular systems which include time-varying delays, parameter uncertainties and nonlinear perturbations. An appropriate discrete sliding surface function is constructed such that the corresponding sliding mode dynamics are gained. By using some free-weighting matrices, a linear matrix inequality constraint is established to make sure that the closed-loop system is regular, causal and stable. Furthermore, in consideration of the improved discrete reaching condition, an SMC law is synthesised for reaching motion and the chattering can be weakened, while few existing papers focus on how to employ it to study the SMC problem for the discrete singular systems with time-varying delays. At last, the designed law is tested through an example.
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