Disturbance attenuation and rejection for discrete-time Markovian jump systems with lossy measurements
Disturbance attenuation and rejection for discrete-time Markovian jump systems with lossy measurements
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DOI：
10.1016/j.ins.2014.03.084
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发表时间：
2014-09
期刊：
影响因子：
--
通讯作者：
Xiu-ming Yao;Lei Guo
中科院分区：
文献类型：
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作者：
Xiu-ming Yao;Lei Guo
本研究解决了具有有损测量和多重干扰的离散时间马尔可夫跳跃系统的干扰衰减和抑制问题。假设从工厂传输到观察者和控制器的测量结果是不完美的，并且利用两个随机变量分别对丢失的数据进行建模。提出了一种基于复合扰动观测器的控制和H∞控制方案来衰减和抑制扰动。该方法的重点是设计一种新的扰动观测器、动态输出反馈控制器和复合控制器结构，使复合系统随机稳定并满足预定的性能要求。基于分段二次李亚普诺夫函数方法，提供了受控对象的扰动观测器增益和控制器矩阵的面向计算的条件。最后，提供了一个数值例子来证明所提出的理论方法的实用性和适用性。
This study addresses the disturbance attenuation and rejection problem for discrete-time Markovian jump systems with lossy measurements and multiple disturbances. The measurements transmitted from the plant to the observer and the controller are assumed to be imperfect, and two stochastic variables are utilized to model the missing data separately. A composite disturbance observer-based control and H∞ control scheme is proposed for attenuating and rejecting the disturbances. This method is focused on the design of a new structure for the disturbance observer, dynamic output feedback controller, and composite controller, such that the composite system is stochastically stable and it satisfies scheduled performance requirements. The computation-oriented conditions of the disturbance observer gains and controller matrices for the controlled plant are provided based on the piecewise quadratic Lyapunov functional approach. Finally, a numerical example is provided to demonstrate the utility and applicability of the proposed theoretical method.