期刊
INFORMATION SCIENCES
卷 332, 期 -, 页码 153-166出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2015.10.043
关键词
Markov jump repeated scalar nonlinear systems; l(2) - l(infinity) tracking control; The mode-dependent diagonally dominant; Lyapunov function approach; Finite-time
资金
- National Natural Science Foundation of China [61304066, 61473171, 61304072, 61503002]
- Natural Science Foundation of Anhui Province [1308085QF119]
- Research Project of State Key Laboratory of Mechanical System and Vibration [MSV201509]
- Basic Science Research Program through the National Research Foundation of Korea (NRF) - Ministry of Education [2013R1A1A2A10005201]
This paper studies the problem of finite-time l(2) - l(infinity) tracking control for Markov jump repeated scalar nonlinear systems with partly usable model information. The partly usable model information is considered following a certain Bernoulli distributed white noise sequence. The objective of the study is to design a state-feedback controller such that the augmented closed-loop system is mean-square stochastically finite-time bounded, and a tracking performance level is achieved over a finite time interval. By using the mode-dependent diagonally dominant Lyapunov function approach, some sufficient conditions are established for the existence of an admissible state-feedback controller. Based on these, a state-feedback controller can be constructed by using a simple matrix decoupling approach. Two numerical examples and a modified general economic model are presented to demonstrate the effectiveness of our proposed approach. (C) 2015 Elsevier Inc. All rights reserved.
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