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Event-Based Adaptive Neural Tracking Control for Discrete-Time Stochastic Nonlinear Systems: A Triggering Threshold Compensation Strategy

机译:基于事件的离散时间随机非线性系统的自适应神经跟踪控制:触发阈值补偿策略

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摘要

This paper investigates the event-triggered (ET) tracking control problem for a class of discrete-time strict-feedback nonlinear systems subject to both stochastic noises and limited controller-to-actuator communication capacities. The ET mechanism with fixed triggering threshold is designed to decide whether the current control signal should be transmitted to the actuator. A systematic framework is developed to construct a novel adaptive neural controller by directly applying the backstepping procedure to the underlying system. The proposed framework overcomes the noncausality problem, avoids the possible controller-related singularity problem, and gets rid of the neural approximation of the virtual control laws. Under the ET mechanism, the corresponding ET-based actuator is put forward by introducing an ET threshold compensation operator. Such a compensation operator (with an adjustable design parameter) is subtly designed based on a hyperbolic tangent function and a sign function. The threshold compensation error is analytically characterized in terms of a time-varying parameter, and the error bound is shown to be relatively small that is dependent on the adjustable design parameter. Compared with the traditional ET-based actuator without the compensation operator, the proposed ET-based actuator exhibits several distinguished features including: 1) improvement of the tracking accuracy (especially at the triggering instants); 2) further mitigation of the communication load; and 3) enlargement of the allowable range of the ET threshold. These features are illustrated by numerical and practical examples.
机译:本文研究了一类离散时间严格反馈非线性系统的事件触发(ET)跟踪控制问题,其随机噪声和有限的控制器到致动器通信能力。具有固定触发阈值的ET机构旨在确定是否应该将电流控制信号发送到致动器。通过直接将BackStepping程序直接应用于底层系统来开发系统框架来构建新型自适应神经控制器。该框架克服了非共同问题,避免了可能的控制器相关的奇点问题,并摆脱了虚拟控制法的神经逼近。在ET机构下,通过引入ET阈值补偿操作员来提出相应的ET基致动器。基于双曲线切线功能和标志功能,如此巧妙地设计了这种补偿操作员(具有可调设计参数)。阈值补偿误差在时变参数方面进行了分析表征,并且绑定的误差被示出为相对较小,依赖于可调设计参数。与没有补偿操作员的传统ET的执行器相比,所提出的ET基执行器具有几个特征,包括:1)提高跟踪精度(特别是在触发瞬间); 2)进一步减轻通信负荷; 3)扩大ET阈值的允许范围。这些特征由数值和实际示例说明。

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