Abstract | ||
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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 |
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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 Zhang | 1 | 6 | 1.49 |
Yaoyao Zhou | 2 | 1 | 0.69 |
Wenhai Qi | 3 | 0 | 0.34 |
Jinde Cao | 4 | 11399 | 733.03 |
Jun Cheng | 5 | 536 | 43.22 |
Yunliang Wei | 6 | 70 | 9.09 |
Xiaoyu Yan | 7 | 1 | 0.69 |
Shaowu Li | 8 | 0 | 0.34 |