Anti-disturbance control for time-varying delay Markovian jump nonlinear systems with multiple disturbances |
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Authors: | Yankai Li Haibin Sun Linlin Hou |
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Affiliation: | 1. School of Engineering, Qufu Normal University, Rizhao, Shandong, China;2. School of Information Science and Engineering, Qufu Normal University, Rizhao, Shandong, China |
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Abstract: | In this paper, the problem of composite anti-disturbance resilient control is addressed for time-varying delay Markovian jump nonlinear systems with multiple disturbances. The disturbances are assumed to include two parts: the first one in the input channel is described by an external system with perturbations; the second one is supposed to be bounded H2 norm. By combining disturbance observer and L2–L∞ control method, the disturbances are attenuated and rejected, simultaneously, and the desired dynamic performance can be obtained for time-varying delay Markovian jump nonlinear systems. Moreover, the gains of the resilient controller and the observer are acquired by applying linear matrix inequalities (LMIs) technology. Finally, an application example is presented to show the effectiveness of the proposed approach. |
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Keywords: | Markovian jump nonlinear system time-varying delay resilient control L2–L∞ performance disturbance-observer-based-control multiple disturbances |
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