不确定严格反非线性系统的事件触发自适应控制使用完全执行系统方法
IEEE transactions on cybernetics
|July 22, 2024
概括
本研究介绍了一种用于不确定非线性系统的新型事件触发自适应控制器,克服了现有方法的局限性. 这种方法确保了系统的稳定性,并避免了Zeno行为,提高了控制性能.
科学领域:
- 控制系统工程 控制系统工程
- 非线性动力学是一种非线性动力学.
- 适应性控制理论 适应性控制理论
背景情况:
- 对于不确定的严格反非线性系统 (SFNSs) 的现有事件触发控制器通常使用后退,面临不连续信号和未定义虚拟控制差异化的问题.
- 完全执行系统 (FAS) 方法虽然有希望,但由于未完全删除原始动态,因此难以保证非对称稳定性.
研究的目的:
- 使用FAS方法为不确定的SFNS设计一个新的事件触发自适应控制器.
- 为应对在具有适应参数的事件触发系统中保证非对称稳定性的挑战.
- 为了确保实际的稳定性,并避免Zeno行为在拟议的控制方案.
主要方法:
- 在控制器设计中使用完全执行系统 (FAS) 方法.
- 开发基于Lyapunov的事件触发方案 (ETS),具有适应参数来弥补触发效应.
- 采用矛盾方法来防止Zeno行为,并为ETS添加一个常数,以获得一个正的事件间隔.
主要成果:
- 拟议的控制器保证了不确定的SFNS的非对称稳定性,而不需要全球Lipschitz条件.
- 成功避免了Zeno的行为,并且在事件间隔上建立了一个积极的下界.
- 控制器在有界的非线性下确保实际稳定性.
结论:
- 开发的事件触发自适应控制器有效地解决了不确定的SFNS之前方法的局限性.
- 该方法提供了强大的稳定性保证和实际的性能改进.
- 模拟示例证实了拟议的控制策略的优越性和有效性.
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