LMI-based delay-dependent robust control for value bounded uncertain systems with time delay |
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Authors: | Yanni Deng Weihua Gui Yongfang Xie |
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Institution: | (1) College of Information Science and Engineering, Central South University, Changsha, 410083, Hunan, China;(2) School of Automation, Wuhan University of Technology, Wuhan, 430070, Hubei, China |
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Abstract: | The present paper investigated the delay-dependent robust control for linear value bounded uncertain systems with state delay.
By introducing the idea of matrix decomposition into the synthesis problem, incorporating with Lyapunov-Krasovskii functional
method and adding “zeros” matrix through the correlation of each item in Newton-Leibniz formula, we present a sufficient condition
via the feedback stabilization based on linear matrix inequality (LMI). LMI is a new delay dependent condition that is much
less conservative, and it guarantees that the system is robust asymptotically stable via state feedback controller. Neither
the model transformation nor the bounding cross terms is employed. Finally, a numerical example is presented and it demonstrates
the effectiveness of the offered method.
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Keywords: | delay-dependent value bounded uncertainty state delay robust control linear matrix inequality (LMI) |
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