离散Markov跳变系统事件触发H∞量化输出反馈控制

Event-triggered H∞ output feedback control for discrete Markov jump systems with quantization

摘要:

主要研究了基于事件触发机制的离散Markov跳变系统的量化H∞输出反馈控制问题，对系统的建模、稳定性分析、控制器设计等三个方面进行了研究。首先，提出了事件触发通信机制来确定当前采样数据是否能够传输到控制器当中。其次，在传感器与控制器之间引入对数量化器，利用扇形有界方法，量化采样数据达到降低网络中的数据传输速率的目的。接下来，考虑网络诱导时延建立一种具有外部扰动的Markov跳变时滞系统。构造Lyapunov-Krasovskii 泛函，得到使闭环系统渐近稳定且满足H∞性能指标的充分条件，在此基础上设计相应的输出反馈控制器。最后通过数值仿真来证明本文所提方法的有效性。

Abstract:

The problem of event-triggered output feedback control for a class of discrete Markov jump systems with quantization is investigated, the three aspects of system modeling, stability analysis and controller design are studied respectively. Firstly, an event-triggered communication mechanism is proposed to determine whether the sampled data can be transmitted to the controller. Secondly, a quantizer is introduced between the sensor and the controller, and sector bound approach is used to quantify the sampled data, which can reduce the data transmission rate in the network. Next, through the analysis of network induced delay, a Markov jump time-delay system with external disturbances is established. The Lyapunov-Krasovskii functional is constructed to obtain the sufficient conditions for the closed-loop system to be asymptotically stable with a prescribed performance index. And the corresponding output feedback controller is designed. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method