Computational Sampled-Data Nonlinear Control

在过去的二十年里，研究人员在控制非线性连续时间系统方面取得了重大突破，但最近的研究开始关注基于离散时间模型和数字网络的连续时间系统的控制方法，因为需要控制日益复杂的系统，而且通常可用的计算机能力也在不断提高。提出的工作旨在利用先前开发的非线性连续时间控制方法作为跳板，为基于离散时间模型的一般非线性系统开发新的高性能控制算法。重点将放在开发鲁棒的、自适应的、不需要完全测量系统状态的算法上。这些结果的应用将包括为艾滋病毒患者制定最佳治疗方案，导致不再需要治疗的非进展状态。其他应用将包括汽车发动机的控制和校准，其中状态约束很容易纳入某些基于优化的控制策略，但通常会导致非鲁棒控制算法，在其中起着重要作用。提出的工作还旨在为网络非线性控制系统提供新的，改进的稳定性条件，特别是那些使用不一定保证在固定时间内传输到通信网络每个节点的协议的系统。预计这些新的网络控制系统的稳定性条件将为新的通信协议的发展提供洞察力，这将反过来使网络控制系统更加成功和普遍。更广泛的影响：通过控制作为一种使能技术的作用，本提案中的工作具有潜在的广泛影响。如上所述，我们将研究的想法可能有助于为导致非进展状态的HIV患者制定有效的药物治疗方案，从而消除进一步药物治疗的需要。总的来说，在影响整个社会的广泛工程任务中，依赖基于优化的自动化算法应该更加可行。该提案将支持研究生在国家和地区会议上展示他们的研究成果。结果将立即在网上公布，并将立即纳入申请机构的研究生课程。这项工作将有助于进一步塑造UCSB的控制工程与计算中心，该中心是全国控制教育的领先项目之一。它将加强与澳大利亚、法国和意大利等国际合作伙伴的互动，将促进与西雅图弗雷德哈钦森癌症研究中心的理论生物学家的新颖合作，并将进一步与福特汽车公司的研究人员进行合作。

While researchers have made major breakthroughs in controlling nonlinear continuous time systems overthe last two decades, more recently the research has started to focus on methods for controlling continuoustime systems based on discrete time models and over digital networks, because of the need to control increas-ingly complex systems and because of the increasing computer power typically available. The proposed workaims to use previously developed nonlinear continuous time control methods as a springboard to developnew, high performance control algorithms for general nonlinear systems based on discrete-time models. Thefocus will be on developing algorithms that are robust, adaptive, and don't require full measurement ofthe system state. Applications of these results will include the development of optimal treatment schedulesfor HIV patients, leading to a non-progressive state where treatment is no longer needed. Other applica-tions will include control and calibration of automotive engines where state constraints, which are easy toincorporate into certain optimization-based control strategies but which often lead to non-robust controlalgorithms, play an important role. The proposed work also aims to give new, improved stability conditionsfor networked nonlinear control systems, especially those using protocols that don't necessarily guaranteetransmission to every node of the communication network within a fixed amount of time. It is expected thatthese new stability conditions for networked control systems will give insight into the development of novelcommunication protocols which will, in turn, make networked control systems more successful and prevalent.Broader impact:The work in this proposal has the potential for broad impact via the role that control plays as an enablingtechnology. As suggested above, the ideas that we will investigate may help lead the way to efficient drugtreatment schedules for HIV patients leading to a non-progressive state, thereby eliminating the need forfurther drug therapy. In general, it should make it more feasible to rely on optimization-based automationalgorithms for a wide range of engineering tasks that impact all of society. The proposal will supportgraduate students who will present their findings at national and regional conferences. The results will bemade available, promptly, on the web and will be immediately incorporated into graduate courses at theproposing institution. The work will help to further shape UCSB's Center for Control Engineering andComputation, which is one of the leading programs in control education in the nation. It will strengtheninteractions with international partners, e.g., in Australia, France and Italy, will foster novel collaborativeefforts with theoretical biologists at the Fred Hutchinson Cancer Research Center in Seattle, and will furthercollaborative efforts with researchers at Ford Motor Company.