Tao Yue-Yue, Wu Zheng-Guang, Huang Tingwen, Chakrabarti Prasun, Ahn Choon Ki
IEEE Trans Cybern. 2023 Nov;53(11):7342-7352. doi: 10.1109/TCYB.2022.3217197. Epub 2023 Oct 17.
This study focused on the asynchronous event-triggered output-feedback controller design problem for discrete-time singular Markov jump systems (MJSs). A hidden Markov model (HMM) was employed to estimate the system mode, which cannot always be ideally detected in practice. Because the full state is also difficult to obtain in practical scenarios, an output-feedback control scheme was used. In addition, an HMM-based event-triggered mechanism was also employed in the design of the controller to reduce the communication burden of the networked system. Sufficient conditions for the stochastic admissibility of a closed-loop singular MJS with a prescribed H performance index were established using the Lyapunov functional technique. Finally, design procedures for an asynchronous event-triggered controller were summarized as a linear-matrix-inequality-based optimization algorithm. Two examples were considered to verify the effectiveness of the asynchronous event-triggered output-feedback controller design method.
本研究聚焦于离散时间奇异马尔可夫跳跃系统（MJSs）的异步事件触发输出反馈控制器设计问题。采用隐马尔可夫模型（HMM）来估计系统模式，这在实际中无法总是被理想地检测到。由于在实际场景中也难以获得完整状态，因此使用了输出反馈控制方案。此外，在控制器设计中还采用了基于HMM的事件触发机制，以减轻网络系统的通信负担。利用李雅普诺夫泛函技术，建立了具有规定H性能指标的闭环奇异MJS随机容许性的充分条件。最后，将异步事件触发控制器的设计过程总结为一种基于线性矩阵不等式的优化算法。通过两个例子验证了异步事件触发输出反馈控制器设计方法的有效性。
