Event-Triggered Control with Time Delays

带时间延迟的事件触发控制

• 批准号: RGPIN-2022-03144
• 负责人: Zhang, Kexue
• 金额: $ 1.68万
• 依托单位: Queen's University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=759188
• 关键词: Event; Triggered; Control; Time; Delays

With the rapid development of online communication, the World Wide Web, and computation, control systems have been widely implemented in dynamical networks. A network consists of a large number of dynamical nodes each of which possesses its own attributes. It is very important to investigate the effects of network-induced time delays on the design and synthesis of the networked control systems and develop efficient control mechanisms to reduce the communication load among the network nodes. A traditional way to reduce the information transmission is to restrict two successive communications to less than a time constraint. Hence, all the communications are predictable, and such a strategy is easy to implement. However, these predictable information transmissions are insecure and conservative in the sense that unnecessary communications may be conducted, which is a waste of communication energy. It is ideal to activate the communication among network nodes when needed. Therefore, event-triggered control has been developed to improve communication efficiency while still guaranteeing the desired performance of networked control systems. The idea of event-triggered control is to activate the communication only when the system violates a predesigned performance threshold. In this research, we focus on event-triggered control for time-delay systems and applications on various networked control systems. Our objectives include: (1) to develop event-triggered control algorithms to ensure the desired performance of time-delay systems, such as stability, boundedness, and attractivity, and rule out Zeno behavior (infinitely many control updates over a finite period) from the control system; (2) to develop efficient event-triggered impulsive control algorithms for time-delay systems to guarantee the desired performance level and also ensure two consecutive impulse times are separated by a minimum dwell-time; (3) to apply the obtained results to practical problems, such as consensus and synchronization problems of networked control systems; (4) to develop the fundamental theory for impulsive functional differential equations on time scales with applications to scheduling problems and numerical methods. The outcomes of this research will result in new event-triggered control mechanisms for general nonlinear time-delay systems, new consensus and synchronization criteria with reduced communication cost, fundamental theory for impulsive systems on time scales, and efficient scheduling strategies and adaptive numerical methods. Due to the interdisciplinary nature of the proposed research program, HQP training will be involving writing scientific papers, aimed at the top control journals, with mastering techniques and methods important for further employment in the industry. The outcomes will contribute to the scientific and technological development of Canada in the area of time-delay systems and control.

随着在线通信、万维网和计算技术的迅速发展，控制系统在动态网络中得到了广泛的应用。网络由大量的动态节点组成，每个动态节点都有自己的属性。研究网络诱导时延对网络控制系统的设计和综合的影响，并开发有效的控制机制以减少网络节点间的通信负载，是非常重要的。减少信息传输的传统方法是将两个连续的通信限制在小于时间约束。因此，所有的通信都是可预测的，这样的策略很容易实现。然而，这些可预测的信息传输是不安全的和保守的，在这个意义上，可能会进行不必要的通信，这是一种浪费通信能量。在需要时激活网络节点之间的通信是理想的。因此，事件触发控制已被开发，以提高通信效率，同时仍然保证网络控制系统的期望性能。事件触发控制的思想是只有当系统违反预先设计的性能阈值时才激活通信。在本研究中，我们主要针对时间延迟系统的事件触发控制，以及在各种网路控制系统上的应用。我们的目标包括：（1）开发事件触发控制算法，以确保时滞系统的期望性能，如稳定性、有界性和吸引性，并排除Zeno行为（在有限时间段内无限次控制更新）;（2）开发有效的事件触发脉冲控制算法，延迟系统，以保证期望的性能水平，并且还确保两个连续的脉冲时间被最小停留时间分开;（3）将所得结果应用于实际问题，如网络控制系统的一致性和同步问题;（4）发展时标上脉冲泛函微分方程的基本理论及其在调度问题和数值方法中的应用。这项研究的成果将导致新的事件触发控制机制，一般非线性时滞系统，新的共识和同步标准，降低通信成本，时间尺度上的脉冲系统的基本理论，有效的调度策略和自适应数值方法。由于拟议研究计划的跨学科性质，HQP培训将涉及撰写针对顶级控制期刊的科学论文，掌握对该行业进一步就业至关重要的技术和方法。其成果将有助于加拿大在时滞系统和控制领域的科学和技术发展。