Title
Non-fragile observer-based H∞ finite-time sliding mode control.
Abstract
H∞ finite-time control for uncertain system with the unmeasurable state via the sliding mode control (SMC) approach is discussed in this article. Our attention is to design an appropriate finite-time SMC law to attenuate the influences of parametrical uncertainty and external disturbance. First, an appropriate non-fragile observer-based finite-time SMC law is designed such that the state trajectories can arrive at the specified sliding surface during the finite-time interval. Then, finite-time boundedness (FTBs) is well implemented by partitioning strategy and sufficient conditions are given to realize FTBs for the augment system with H∞ performance. Next, the controller gain and observer gain are obtained by solving the corresponding linear matrix inequalities (LMIs). Finally, a RLC series circuit shows the effectiveness of the proposed SMC approach.
Year
DOI
Venue
2020
10.1016/j.amc.2020.125069
Applied Mathematics and Computation
Keywords
Field
DocType
Sliding mode control,Finite-time boundedness,Uncertain system
Control theory,Control theory,Mathematical analysis,Linear matrix,Series and parallel circuits,Observer (quantum physics),RLC circuit,Mathematics,Sliding mode control,Finite time
Journal
Volume
ISSN
Citations 
375
0096-3003
0
PageRank 
References 
Authors
0.34
0
8
Name
Order
Citations
PageRank
Lihua Zhang161.49
Yaoyao Zhou210.69
Wenhai Qi300.34
Jinde Cao411399733.03
Jun Cheng553643.22
Yunliang Wei6709.09
Xiaoyu Yan710.69
Shaowu Li800.34