Observer-based H{sub ∞} control for nonlinear Markovian jump systems with time-delay and input saturation

Journal Article · Thu Mar 15 00:00:00 EDT 2018 · Computational and Applied Mathematics

DOI:https://doi.org/10.1007/S40314-016-0340-X· OSTI ID:22783978

Ma, Yuechao; Jia, Xiaorui; Yan, Yifang; Liu, Deyou ^[1]

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1. Yanshan University, School of Science (China)

This paper focus on the problem of observer-based H{sub ∞} control for uncertain nonlinear Markovian jump systems with time-delay and actuator saturation. A delay-dependent sufficient condition is proposed which guarantees that the uncertain nonlinear Markovian jump system with time-delay and input saturation is stochastically stable via Lyapunov theory and linear matrix inequality (LMI) approach. Then, with this condition, the estimation of stability region and the design method of observer-based H{sub ∞} controller are given by solving LMIs and convex optimization problems. Finally, numerical examples are exploited to illustrate the effectiveness of the proposed method.

• OSTI ID: 22783978
• Journal Information: Computational and Applied Mathematics, Vol. 37, Issue 1; Other Information: Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional; Country of input: International Atomic Energy Agency (IAEA); ISSN 0101-8205
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ACTUATORS
LYAPUNOV METHOD
MARKOV PROCESS
MATRICES
NONLINEAR PROBLEMS
OPTIMIZATION
TIME DELAY