Adaptive Robust H∞ Sliding Mode Control for Singular Systems with Time-varying Delay and Uncertain Derivative Matrix

被引:9
作者
Liu, Qi [1 ]
Li, Rongchang [2 ]
Zhang, Qingling [3 ]
Li, Jianxun [1 ]
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Peking Univ, Coll Engn, Dept Mech & Engn Sci, Beijing 100871, Peoples R China
[3] Northeastern Univ, Inst Syst Sci, Shenyang 110819, Peoples R China
基金
中国国家自然科学基金;
关键词
Adaptive SMC law; H-infinity performance; singular systems; sliding mode control(SMC); time-varying delay; uncertain derivative matrix; DESCRIPTOR SYSTEMS; STOCHASTIC-SYSTEMS; STATE DELAY; STABILIZATION; STABILITY; FEEDBACK;
D O I
10.1007/s12555-019-0048-y
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers the problem of sliding mode control (SMC) design for a class of nonlinear singular systems with time-varying delay and uncertainties, especially with uncertainties in the derivative matrix. By taking uncertainties of the derivative matrix into account, the state augmentation transformation is constructed such that uncertainties of the derivative matrix are eliminated. Then an appropriate integral-type sliding surface function is designed. And the resulting sliding mode dynamics is an uncertain singular time-varying delay system. A delay-dependent sufficient condition which guarantees the sliding mode dynamics to be admissible with H-infinity performance is established. A new version of stabilization solvability condition is then proposed in terms of linear matrix inequality (LMI), which determines the undetermined parameter K in both the sliding surface function and the SMC laws. Moreover, two distinctive controllers (i.e., an SMC law and an adaptive SMC law) are synthesized such that the finite-time reachability of the predesigned sliding surface can be ensured. Finally, simulation examples are given to demonstrate the effectiveness and the merits of the proposed theory.
引用
收藏
页码:3179 / 3193
页数:15
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