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Jiemei Zhao,Zhonghui Hu,Lijun Zhang 제어·로봇·시스템학회 2012 International Journal of Control, Automation, and Vol.10 No.4
In this paper, a reliable H∞ controller is designed for discrete-time singular systems with infinite distributed delays. Firstly, a stability criterion is obtained based on linear matrix inequality (LMI). Then a controller is designed to ensure the singular time-delay system to be regular, causal and stable with disturbance attenuation level γ for possible actuator failures. A numerical example is given to illustrate the validity of the proposed approach.
Exponential H∞ Control for Singular Systems with Time-varying Delay
Jiemei Zhao,Zhonghui Hu 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.4
This paper studies the exponential admissibility and H∞ control problems for a class of singular systemswith time-varying delay in state. Firstly, an exponential admissibility criterion is obtained based on linear matrixinequalities (LMIs). It is worth mentioning that the derivative of the time-varying delay does not need to be smallerthan one. Based on the proposed condition, a new delay-dependent H∞ controller is also given, which guaranteesthe admissibility and the H∞ performance g . Numerical examples are given to illustrate the effectiveness of theproposed method.
Improved Results on Reachable Set Estimation of Linear Systems
Jiemei Zhao,Zhonghui Hu 제어·로봇·시스템학회 2019 International Journal of Control, Automation, and Vol.17 No.5
In this study, we investigate the reachable set estimation for linear systems with discrete delay and distributeddelay as well as disturbances. Based on the reciprocally convex combination lemma, free-weighting matrixapproach and convex analysis technique, improved delay-dependent linear matrix inequalities (LMIs) criteria arederived for finding an ellipsoid to bound the reachable sets of such systems. Moreover, this result is extended to theone for linear systems with discrete delay, distributed delay and disturbances as well as polytopic-type uncertainties. In addition, the proposed results include some existing ones as special cases since the initial conditions of thesystems are not required to be zero. Finally, two numerical examples are provided to show that our results have lessconservative.