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Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator |
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| Authors: | Yunliang Wei Wei Xing Zheng Ze Li Guangdeng Zong |
| Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing, Jiangsu, P. R. China;2. School of Computing, Engineering and Mathematics, University of Western Sydney, Penrith, NSW, Australia;3. College of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou, Jiangsu, P. R. China;4. Institute of Automation, Qufu Normal University, Qufu, Shandong, P. R. China |
| Abstract: | This paper carries out a study on the design of anti-windup gains for uncertain discrete-time Markovian jump systems subject to both actuator saturation and partially known transition probabilities. The parameter uncertainties appearing in both the state and input matrices are assumed to be time-varying and norm-bounded. Under the assumption that a set of linear dynamic output feedback controllers have been designed to stabilise the Markovian jump system in the absence of actuator saturation, anti-windup compensation gains are designed for maximising the domain of attraction of the closed-loop system with actuator saturation. Then, by solving a convex optimisation problem with constraints of a set of linear matrix inequalities, the anti-windup compensation gains are obtained. A simulation example is provided to illustrate the effectiveness of the proposed technique. |
| Keywords: | anti-windup discrete-time Markovian jump systems norm-bounded uncertainties partly known transition probabilities saturating actuators linear matrix inequality (LMI) |