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首页> 外文期刊>IEEE Transactions on Automatic Control >On $H_infty$ Sliding Mode Control Under Stochastic Communication Protocol
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On $H_infty$ Sliding Mode Control Under Stochastic Communication Protocol

机译：在<内联公式> $ h_ infty $ 在随机通信协议下的滑动模式控制

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摘要

This paper is concerned with the sliding mode control (SMC) problem for a class of uncertain discrete-time systems subject to unmatched external disturbances and communication constraints. In order to reduce the bandwidth usage between the controller and the actuators, the stochastic communication protocol (SCP) is utilized to determine which actuator should be given the access to the network at a certain instant. A key issue of the addressed problem is to design both the sliding surface and the sliding mode controller under the SCP scheduling. An updating rule on actuator input is first introduced and then a token-dependent SMC law is designed. Sufficient conditions are established for the resultant SMC systems such that not only the reachability with a sliding domain around the specified sliding surface is ensured, but also the stochastic stability with a prescribed H-infinity performance level is guaranteed. Based on these conditions, a set of coupled matrix inequalities is given to acquire the token-dependent parameter matrices in the proposed SMC law. Finally, a numerical example is presented to illustrate the effectiveness of the proposed H-infinity SMC scheme under the SCP scheduling.
机译：本文涉及一类不匹配的外部干扰和通信约束的一类不确定离散时间系统的滑模控制（SMC）问题。为了降低控制器和致动器之间的带宽使用，使用随机通信协议（SCP）来确定应在特定瞬间给予哪些致动器。解决问题的关键问题是在SCP调度下设计滑动表面和滑动模式控制器。首先介绍了执行器输入的更新规则，然后设计了令牌依赖的SMC定律。为所得到的SMC系统建立了足够的条件，使得不仅确保了在指定的滑动表面周围的滑动域的可拆位，而且还可以保证具有规定的H-Infinity性能水平的随机稳定性。基于这些条件，给出了一组耦合矩阵不等式以在所提出的SMC法中获取令牌依赖的参数矩阵。最后，提出了一个数值示例以说明在SCP调度下所提出的H-Infinity SMC方案的有效性。

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