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首页> 外文期刊>Transactions of the Institute of Measurement and Control >Finite-time H_∞ control for discrete-time Markovian jump systems subject to average dwell time
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Finite-time H_∞ control for discrete-time Markovian jump systems subject to average dwell time

机译：具有平均停留时间的离散时间马尔可夫跳跃系统的有限时间H_∞控制

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摘要

This paper investigates the finite-time H_∞ control problem for discrete-time Markovian jump linear systems with time delay and norm-bounded exogneous disturbance. The stochastic finite-time boundness is achieved by employing an average dwell time approach, which has more design freedom by allowing the stochastic Lyapunov-like function (SLLF) to increase more slowly during the running time of each operation mode. Note that the SLLF increases at every jumping instant rather than at every sampling time instant. Sufficient conditions for the solvability of the controller, which are dependent or independent on the time delay, are given in terms of linear matrix inequalities. Numerical examples are given to verify the efficiency of the proposed method.
机译：研究具有时滞和范数界外生干扰的离散时间马尔可夫跳跃线性系统的有限时间H_∞控制问题。随机的有限时间边界是通过采用平均驻留时间方法来实现的，通过使随机Lyapunov类函数（SLLF）在每种操作模式的运行时间内缓慢增加，它具有更大的设计自由度。注意，SLLF在每个跳跃时刻而不是每个采样时刻都增加。根据线性矩阵不等式，给出了取决于时间延迟的控制器可解性的充分条件。数值算例验证了所提方法的有效性。

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