Practical Adaptive Event-triggered Finite-time Stabilization for A Class of Second-order Systems

Wenhui Dou, Shihong Ding, Chen Ding
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Abstract

This paper considers the practical adaptive event-triggered finite-time stabilization problem for a class of second-order systems. First, by using the adding a power integrator (API) technique, a novel adaptive event-triggered control method is proposed to assure the practical finite-time stability of the closed-loop system. Under the constructed adaptive law, the control gain changes dynamically according to whether the state enters or leaves the predefined domain. In addition, via utilizing the Lyapunov method, the practical finite-time stability (PFTS) of the closed-loop system is proved, and the control system does not exist in the Zeno behavior. Finally, the effectiveness of the designed algorithm is verified by the simulation results.
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一类二阶系统的实用自适应事件触发有限时间镇定
研究一类二阶系统的自适应事件触发有限时间镇定问题。首先,通过添加功率积分器(API)技术,提出了一种新的自适应事件触发控制方法,以保证闭环系统的实际有限时间稳定性。在构造的自适应律下,控制增益根据状态是否进入或离开预定义域而动态变化。此外,利用Lyapunov方法证明了闭环系统的实际有限时间稳定性(PFTS),并且控制系统不存在Zeno行为。最后,通过仿真结果验证了所设计算法的有效性。
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