Journal
ISA TRANSACTIONS
Volume 70, Issue -, Pages 1-6Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2017.05.017
Keywords
Stabilization; Interval time-varying delay; Lyapunov-Krasovskii functional (LKF); Delay-decomposing
Categories
Funding
- National Natural Science Foundation of China [61104119, 61573130]
- Science and Technology Innovation Talents Project of Henan Province [164100510004]
- Henan Polytechnic University
- Innovation Scientists and Technicians Troop Construction Project of Henan Province [T2017-1, CXTD2016054]
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The paper considers the stabilization for systems with interval time-varying delay. By decomposing the delay interval into multiple equidistant subintervals and considering the triple integral terms, a novel Lyapunov-krasovskii functional(LKF) is defined. Then extended integral inequality and convex combination approach are used to estimate the derivative of the constructed functional, and as a result, the new stability criterion with less conservatism and decision variables is obtained. On this basis, the state feedback controller is designed, by using linearization method, the existence condition of controller is obtained in terms of linear matrix inequalities(LMIs), and the specific form of controller is also given, moreover, by selecting the appropriate parameter value, the stabilization time of the system can be reduced. Numerical examples are given to illustrate the effectiveness of the proposed method. (C) 2017 ISA. Published by Elsevier Ltd. All rights reserved.
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