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Neural Computing and Applications

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09-06-2018 | S.I. : Emergence in Human-like Intelligence towards Cyber-Physical Systems

Robust guaranteed cost control for continuous-time uncertain Markov switching singular systems with mode-dependent time delays

Authors: Huanli Gao, Xueliang Liu, Fuchun Liu

Published in: Neural Computing and Applications | Issue 9/2019

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Abstract

The guaranteed cost control problem for mode-dependent time-delay Markov switching singular systems with norm-bounded uncertain parameters is discussed. Based on delay-dependent linear matrix inequalities, sufficient conditions which ensure the nominal Markov switching singular system to be regular, non-impulsive and stochastically stable are derived by quoting a mode-dependent Lyapunov functional and applying Moon’s inequality for cross terms. The sufficient conditions involve two cases. Case 1: the time delays are known; Case 2: the time delays are unknown, but the difference of the largest and the smallest time delay is known. Then, the problem is solved to design a state-feedback control law such that the closed-loop system is stochastically stable and the corresponding cost function value is not bigger than a specified upper bound for all the admissible uncertainties. Finally, optimization algorithms are given to find the optimal performance indexes.

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Title: Robust guaranteed cost control for continuous-time uncertain Markov switching singular systems with mode-dependent time delays
Authors: Huanli Gao
Xueliang Liu
Fuchun Liu
Publication date: 09-06-2018
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 9/2019
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-018-3580-4

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