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Guaranteed Cost Control for Uncertain Systems with Time-Delays

Author: LiChaoFeng
Tutor: MaYueChao
School: Yanshan University
Course: Operational Research and Cybernetics
Keywords: Uncertain Systems Delay Lyapunov stability H_ ∞ control Guaranteed Cost Control Linear matrix inequality (LMI) Non-fragile
CLC: TP13
Type: Master's thesis
Year: 2010
Downloads: 31
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Abstract


With the in-depth study of robust control , guaranteed cost control has been a great deal of attention . Guaranteed cost control for both the dynamic closed-loop system asymptotic stability , but also make the closed-loop system cost function value does not exceed the upper bound of a determination . Thesis, Lyapunov stability theory and linear matrix inequality theoretical approach to guaranteed cost control of uncertain discrete time delay systems and uncertain descriptor systems guaranteed cost control . The main research work are as follows: First, given sufficient conditions of existence and design method of guaranteed cost control of uncertain discrete time-delay systems using linear matrix inequality and Lyapunov stability theory and linear matrix inequality ( LMI ) toolbox illustrates the effectiveness of the method . Second , uncertain singular systems with time-varying delay of H_ ∞ non-fragile guaranteed cost control problem is studied , one of the time-varying uncertain parameters required norm bounded , but are not required to meet the matching conditions . Based on Lyapunov stability theory , gives the upper bound H_ ∞ guaranteed cost controller design method and the corresponding cost function . Finally, a the delay uncertainty generalized system delay related to non-fragile H_ ∞ guaranteed cost control problem . Lyapunov - Krasovskii stability theory and the recent establishment of the integral inequality method delay uncertain singular systems non - fragile controller role not only in the internal asymptotically stable , and has given H_ ∞ disturbance rejection level gamma when stagnation conditions . Numerical simulation shows the paper to the effectiveness of the method .

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