Abstract
Investigates the problem CHAD control for Markovian jump singular systems with nonlinearity and two types of disturbances. The multiple disturbances includes two kinds: one is supposed to be a norm-bounded vector; the other is described by an exogenous system with perturbations. With the composite hierarchical anti-disturbance control scheme and by choosing a proper stochastic Lyapunov–Krasovskii functional, desired controllers are solved, such that the solution to the composite system exists and is unique, and the composite system is stochastically admissible with H8 performance.
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© 2016 Springer International Publishing Switzerland
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Yao, X., Wu, L., Zheng, W.X. (2016). Robust \(\mathcal {H}_{\infty } \) Control of Nonlinear Markovian Jump Singular Systems. In: Filtering and Control of Stochastic Jump Hybrid Systems. Studies in Systems, Decision and Control, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-319-31915-5_11
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DOI: https://doi.org/10.1007/978-3-319-31915-5_11
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-31914-8
Online ISBN: 978-3-319-31915-5
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