Event-based sliding mode control for fuzzy singular systems with semi-Markovian switching parameters |
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| Institution: | 1. College of Science, Guilin University of Technology, Guilin, Guangxi 541004, PR China;2. School of Mathematics and Statistics, Guangxi Normal University, Guilin, Guangxi 541006, PR China;3. College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China;4. School of Information Science and Engineering, Chengdu University, Chengdu, Sichuan 610106, PR China;1. Institute of Automation, Qufu Normal University, Qufu, Shandong 273165, PR China;2. College of Engineering, Qufu Normal University, Rizhao, Shandong 276826, PR China;3. Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan 70101, Taiwan;1. Department of Automation, Shanghai Jiao Tong University, Shanghai 200240, PR China;2. Key Laboratory of System Control and Information Process, Ministry of Education, Shanghai 200240, PR China;3. Department of Mechnical Engineering, Politecnico di Milano, Milan 20156, Italy;1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. Shandong University of Science and Technology, Jinan 250031, China |
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| Abstract: | This paper addresses the observer-based dynamic event-triggered (DET) sliding mode control (SMC) problem for fuzzy singular semi-Markovian jump systems (FSS-MJSs) subject to generalized dissipative performance, in which a novel double-quantized structure is reasonably merged into a unified model. The main aim of this paper is to develop a mode-dependent adaptive sliding mode control (ASMC) law through the DET rule, which not only makes the closed-loop systems mean-square admissibility and generalized dissipative, but also the finite-time reachability around the predefined sliding mode surface (SMS) can be achieved. Firstly, in order to improve the data transmission efficiency and save network bandwidth resources, DET and doubled-quantized-based control protocol are introduced, in which the event-based threshold function is dynamically regulated and the data of input and output are both quantized; Secondly, due to the sensor information constraints, system state information is not always obtained in practice, hence, a suitable observer design can make up for this defect. Meantime, in terms of elegant linearization technique and implicit function theorem, the uniqueness of the solution for FSS-MJSs is also established; Additionally, by making use of the Lyapunov functional and linear matrix inequality (LMI) technique, both the desired SMC gains, observer gains and triggering parameter matrices are co-designed, more than that the derivative singular matrix is also integrated into the whole design process such that the derived conditions are much more easily to be checked; Finally, a numerical example and a practical application example are co-given to verify the effectiveness of our design mentality. |
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