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Observer-based finite-time H_∞ control of discrete-time Markovian jump systems

机译：离散时间马尔可夫跳跃系统基于观测器的有限时间H_∞控制

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摘要

This paper investigates the observer-based finite-time H_∞ control problem for one family of discrete-time Markovian jump systems with time-varying norm-bounded disturbance. Firstly, the concepts of stochastic finite-time boundedness and stochastic H_∞ finite-time stabilization via observer-based state feedback are given. Then, under the assumption that the state vector is not available for feedback, an observer-based state feedback controller is designed to ensure stochastic finite-time stabilization or stochastic H_∞ finite-time stabilization via observer-based state feedback of the resulting closed-loop error discrete-time Markovian jump system. Sufficient criteria on the stochastic finite-time stabilization and stochastic H_∞ finite-time stabilization via observer-based state feedback are given in form of linear matrix inequalities with a fixed parameter, respectively. Finally, simulation examples are presented to illustrate the validity of the developed techniques.
机译：本文研究了一类具有时变范数有界扰动的离散时间马尔可夫跳跃系统的基于观测器的有限时间H_∞控制问题。首先，给出了基于观察者状态反馈的随机有限时间有界性和随机H_∞有限时间稳定的概念。然后，在状态向量不可用于反馈的假设下，基于观察者的状态反馈控制器被设计为通过对所得闭合状态的基于观察者的状态反馈来确保随机有限时间稳定或随机H_∞有限时间稳定。循环误差离散时间马尔可夫跳跃系统。通过具有固定参数的线性矩阵不等式，分别给出了基于观测器的状态反馈的随机有限时间稳定和H_∞随机时间稳定的充分判据。最后，通过仿真实例说明了所开发技术的有效性。

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