Abstract
This study is concerned with the finite-time H∞ control problem for uncertain discrete-time Markovian jump singular systems with time-varying norm-bounded disturbance. Firstly, the concepts of singular finite-time stability, singular finite-time boundedness and singular H∞ finite-time stabilisation are given. Then, sufficient conditions of singular finite-time boundedness and singular H∞ finite-time stability are derived for the class of discrete-time Markovian jump singular systems. The main contribution of the study is to propose a numerical efficient and reliable controller design process for state feedback finite-time H∞ control of discrete-time Markovian jump singular systems. By applying the descriptor system technique presented by Fridman and Shaked, sufficient criteria are presented for the solvability of the problems, which can be reduced to feasibility problems in terms of linear matrix inequalities. Finally, numerical examples are included to illustrate the validity of the presented results.
| Original language | English |
|---|---|
| Pages (from-to) | 1105-1111 |
| Number of pages | 7 |
| Journal | IET Control Theory and Applications |
| Volume | 8 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - Aug 2014 |
| Externally published | Yes |
Bibliographical note
The authors would like to thank the anonymous referees and editors for their constructive comments and suggestions which have helped us greatly improve the quality and the presentation of the paper.Funding
This work was partially supported by the National Key Basic Research Program, China (2011CB710706, 2012CB215202), the 111 Project (B12018), the Foreign Experts Recruitment Program of Shandong Province (L37002013099), the National Natural Science Foundation of China (61174058, 60974052, 61134001), the Natural Science Foundation of Henan Province of China (132300410013) and the Plan of Nature Science Fundamental Research in Henan University of Technology (2012JCYJ13).