Abstract
This paper addresses the problem of finite-time boundedness (FTB) for a class of Markovian jump systems (MJSs) via sliding mode control (SMC) technique, in which there may happen actuator faults in all of control channels and mismatched external disturbance. By means of the available boundary information of actuator faults, a suitable sliding mode controller is designed such that state trajectories are driven to sliding surface before a specified finite (possibly short) time interval. Furthermore, a partitioning strategy is introduced to derive the sufficient conditions for ensuring the FTB of the closed-loop systems over the whole specified finite-time interval including the reaching phase and the sliding motion phase. Finally, a practical example are provided from an F-404 aircraft engine system to illustrate the proposed method.
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Recommended by Associate Editor Jiuxiang Dong under the direction of Editor Guanh-Hong Yang. This work was supported in part by the NNSF (61673174, 61773162) and the 111 Project (B17017) from China.
Zhiru Cao received her B.S. degree from Nanjing Tech University, China, in 2016. She is now pursuing a Ph.D. degree in Control Science & Engineering at East China University of Science and Technology, China. Her current research areas are Markovian jump systems, sliding mode control, and finite-time control.
Yugang Niu is a professor with the East China University of Science & Technology. His research Areas includes sliding mode control, stochastic systems, wireless sensor networks, microgrid.
Haijuan Zhao received her B.S. and M.S. degrees from Qufu Normal University, China, in 2013 and 2016, respectively. She is now pursuing a Ph.D. degree in Control Science & Engineering at East China University of Science and Technology, China. Her current research interests include switched systems, finite-time stability, and sliding mode control.
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Cao, Z., Niu, Y. & Zhao, H. Finite-time Sliding Mode Control of Markovian Jump Systems Subject to Actuator Faults. Int. J. Control Autom. Syst. 16, 2282–2289 (2018). https://doi.org/10.1007/s12555-017-0501-8
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DOI: https://doi.org/10.1007/s12555-017-0501-8