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基于变时域策略的线性系统事件触发预测控制
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Event-triggered Predictive Control for Linear Systems Based on Variable Horizon Strategy
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    摘要:

    针对具有加性扰动的约束连续线性时不变系统,提出一种基于变时域策略的线性系统事件触发模型预测控制方案. 首先,基于最优状态轨迹与实际状态轨迹之间的偏差设计无Zeno行为的事件触发机制,以减少求解优化问题的频率. 其次,为了降低实际状态趋近终端集时求解优化问题的计算复杂度,设计一种更为高效的指数收缩形式的自适应预测时域更新机制. 再次,基于双模控制策略,提出自适应事件触发模型预测控制算法,并给出了保证算法可行性和闭环系统稳定性的充分条件. 最后,基于质量-弹簧-阻尼系统验证了所提算法的有效性.结果表明本文方案能够在不损失控制性能的前提下有效降低系统资源消耗和求解优化问题的计算复杂度.

    Abstract:

    In this paper, an event-triggered model predictive control scheme based on a variable horizon strategy is proposed for constrained continuous linear time-invariant systems with additive disturbances. Firstly, an event-triggered mechanism without Zeno behavior is designed based on the deviation between the optimal state trajectory and the actual state trajectory to reduce the frequency of solving optimization problem. Next, in order to reduce the computational complexity of solving optimization problem when the actual state approaches the terminal set, a more efficient adaptive prediction horizon update mechanism in the form of exponential shrinkage is designed. Then, based on the dual-mode control strategy, an adaptive event-triggered model predictive control algorithm is proposed, and sufficient conditions are provided to ensure the feasibility of the algorithm and the stability of the closed-loop system. Finally, the effectiveness of the proposed algorithm is verified based on a mass-spring-damper system, and the results show that the proposed scheme can effectively reduce system resource consumption and computational complexity for solving optimization problem without losing control performance.

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贺宁 ,冯小菲 ,杜嘉伟 ?.基于变时域策略的线性系统事件触发预测控制[J].湖南大学学报:自然科学版,2025,52(2):176~185

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  • 在线发布日期: 2025-03-04
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