Abstract This paper is concerned with the problem of event-triggered based asynchronous adaptive quantized sliding mode control (SMC) for It o ˆ stochastic control systems with semi-markovian switching and actuator failures. In this design work, the jump modes between plants and controller are asynchronous, which is represented by a hidden Markov model. The dynamical logarithmic quantizer is introduced in signal quantization both in sensors-to-controller and controller-to-actuators sides, and a new event-triggered detector condition is developed based on the quantized state vector. Combined with SMC and adaptive control techniques, a new event-triggered based asynchronous adaptive quantized SMC law is designed to stabilize the It o ˆ stochastic systems with semi-markovian switching, actuator failures and signal quantization. The proposed control law has ability to guarantee the robust performance of the closed-loop system in the presence of the effects of actuator failures, time delay resulting by event-triggered and signal quantization error. Moreover, the developed event-triggered based asynchronous adaptive quantized feedback SMC scheme can ensure that the sliding surface converges the defined small domain in finite time. The lower bound for inter-execution time is analyzed and presented, and sufficient condition under which the zenor behaviors can be avoided is given. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.

中文翻译：

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半马尔可夫跳跃系统的异步自适应量化反馈滑模控制：事件触发方法

摘要 本文关注基于事件触发的异步自适应量化滑模控制（SMC）问题，用于具有半马尔可夫切换和执行器故障的随机控制系统。在本设计工作中，被控对象与控制器之间的跳转模式是异步的，用隐马尔可夫模型表示。在传感器到控制器和控制器到执行器的信号量化中引入了动态对数量化器，并基于量化的状态向量开发了一种新的事件触发检测器条件。结合SMC 和自适应控制技术，设计了一种新的基于事件触发的异步自适应量化SMC 定律来稳定具有半马尔可夫切换、执行器故障和信号量化的It o ˆ 随机系统。所提出的控制律能够在存在执行器故障、事件触发和信号量化误差导致的时间延迟的影响下保证闭环系统的鲁棒性能。此外，开发的基于事件触发的异步自适应量化反馈 SMC 方案可以确保滑动面在有限时间内收敛定义的小域。分析并给出了执行间时间的下界，并给出了可以避免齐纳行为的充分条件。最后，提供了一个例子来证明所提出的设计技术的有效性。此外，开发的基于事件触发的异步自适应量化反馈 SMC 方案可以确保滑动面在有限时间内收敛定义的小域。分析并给出了执行间时间的下界，并给出了可以避免齐纳行为的充分条件。最后，提供了一个例子来证明所提出的设计技术的有效性。此外，开发的基于事件触发的异步自适应量化反馈 SMC 方案可以确保滑动面在有限时间内收敛定义的小域。分析并给出了执行间时间的下界，并给出了可以避免齐纳行为的充分条件。最后，提供了一个例子来证明所提出的设计技术的有效性。