Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 51, Issue 1, Pages 77-87Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2020.2996743
Keywords
Asynchronous control; finite-time bounded; Hidden Markov jump systems (HMJSs); positive systems; Takagi-Sugeno (T-S) fuzzy model
Categories
Funding
- National Natural Science Foundation of China [61673001, 61722306]
- Foundation for Distinguished Young Scholars of Anhui Province [1608085J05]
- Key Support Program of University Outstanding Youth Talent of Anhui Province [gxydZD2017001]
- State Key Program of National Natural Science Foundation of China [61833007]
- Open Fund for Discipline Construction, Institute of Physical Science and Information Technology, Anhui University
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This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems using the Takagi-Sugeno fuzzy model method. The focus is on deriving a suitable controller depending on the observation mode to ensure system boundedness, positivity, and given performance index within a finite time. The feasibility and validity of the main results are demonstrated using a Lotka-Volterra population model.
This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems (HMJSs) by using the Takagi-Sugeno fuzzy model method. Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given L-2 performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. Finally, a Lotka-Volterra population model is used to show the feasibility and validity of the main results.
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