Event-triggered sliding mode control for delta operator systems
Event-triggered sliding mode control for delta operator systems
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DOI：
10.1109/iecon.2016.7794153
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发表时间：
2016-10
期刊：
影响因子：
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通讯作者：
K. Kumari;B. Bandyopadhyay;Abhisek K. Behera;J. Reger
中科院分区：
文献类型：
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作者：
K. Kumari;B. Bandyopadhyay;Abhisek K. Behera;J. Reger
针对具有扰动的Delta算子系统，提出了一种基于事件触发的滑模控制律。用移位算子表示系统的离散域在很高的采样率下会出现数值病态。为了避免这个问题，系统表示使用Delta算子。Delta算子在非常高的采样率下在连续时间和离散时间系统模型之间建立了一个和解。一个离散时间滑模（DTSM）控制律的发展，以实现对外部干扰的鲁棒性。为了进一步降低资源利用率，提出了一种事件触发的DTSM控制律，使得闭环系统是稳定的。由于控制的固有离散性质，在任何时刻都不存在触发时刻的累积。因此，总是保证控制更新时刻的zeno自由执行。仿真结果也表明了所提出的方法的有效性。
The paper presents an event-triggering based sliding mode control law for delta operator systems with disturbance. The discrete domain representation of a system using shift operator becomes numerically ill-conditioned at very high sampling rates. To circumvent this problem, the system is represented using delta operator. The delta operator creates a rapprochement between continuous-time and discrete-time system model at very high sampling rates. A discrete-time sliding mode (DTSM) control law is developed to achieve robustness against external disturbances. Further to reduce the resource utilization, an event-triggered DTSM control law is proposed such that the closed loop system is stable. Due to the inherent discrete nature of the control there is no accumulation of triggering instants at any instant of time. Hence the zeno free execution of the control updating instants is always guaranteed. Simulation results are also shown to illustrate the effectiveness of the proposed method.