对于一类非线性系统的基于干扰观察者的自适应事件触发的MPC
Minglei Sun1, Baili Su1, Shicheng Su1
1College of Engineering, Qufu Normal University, Rizhao, China.
ISA transactions
|January 6, 2026
概括
本研究为非线性系统引入了基于干扰观察者的自适应事件触发模型预测控制 (DAEMPC). 该方法有效地处理干扰和约束,确保系统稳定性并防止Zeno行为.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统分析 非线性系统分析
- 适应性控制理论 适应性控制理论
背景情况:
- 非线性系统经常面临着局限性干扰和状态约束的挑战,影响控制性能.
- 现有的控制方法可能难以有效地补偿复杂的干扰动态,同时确保稳定性.
- 事件触发控制策略为减少计算负载提供了潜力,但需要仔细设计以避免Zeno行为.
研究的目的:
- 提出一种新的基于观察者的适应性事件触发模型预测控制 (DAEMPC) 方法.
- 在非线性系统中有效管理局限性干扰和系统约束.
- 为了确保系统稳定,并防止Zeno行为在拟议的控制方案.
主要方法:
- 利用干扰观察器来积极补偿系统干扰,将它们分解成匹配和不匹配的部分.
- 设计了一个局限控制器和一个具有基于系统状态稳定性的自适应事件触发机制的最佳控制器.
- 使用边界控制器计算了一个更大的终端稳定性估计集,并进行理论分析以防止Zeno行为.
主要成果:
- 拟议的DAEMPC方法成功地使用扰乱观察器对匹配的干扰进行补偿.
- 适应性事件触发机制有效地解决了无与伦比的干扰,在估计的范围内保持系统稳定性.
- 理论分析证实了没有Zeno行为,模拟验证了算法的有效性在非线性系统.
结论:
- 开发的DAEMPC提供了一种有效的方法来控制具有边界干扰的受约束非线性系统.
- 干扰观察和适应事件触发控制的整合提高了稳定性和效率.
- 该方法表现出强大的性能和稳定性保证,通过数值示例进行验证.
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