Event-Triggered Control with Time Delays

点击翻译按钮获取中文摘要

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.