Sampled-data estimation and control of nonlinear plants

非线性对象的采样数据估计和控制

• 批准号: 194156-2010
• 负责人: Marquez, Horacio
• 金额: $ 3.64万
• 依托单位: University of Alberta
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2015
• 资助国家: 加拿大
• 起止时间: 2015-01-01 至 2016-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=569737
• 关键词: Sampled; data; estimation; control; nonlinear

This proposal is concerned with multirate nonlinear control systems design and state estimation of nonlinear plants with special attention to systems subject to limited communication capacity. More specifically, we will consider the following problems: Nonlinear Observer Design and associated filtering problems: Observer theory is a classical problem in system theory that finds application in various areas. In recent years we have developed a comprehensive theory of filter design for nonlinear Lipschitz systems. We will focus on extensions of our work in this area and study the following problems: (i) Nonlinear observers and filters for nonlinear Lipschitz systems over networks, and (ii) observers for one-sided Lipschitz systems. The first problem extends our theory to systems where information is received through a communication channel with limited capacity, a problem of great interest in the systems literature. The second is an important extension to a new class of systems that generalizes Lipschitz systems and presents important advantages. Multirate Sampled-Data Control Design: The past few years have seen the emergence of the theory of nonlinear sampled-data control systems. We have contributed to this theory by proposing the use of multirate sampled-data controller and showed that multirate systems have advantages over their single-rate counterparts. Most of our work has focussed on stability of multirate systems. In this proposal, we will focus on multirate sampled-data control design and associated network problems. More specifically, we will focus on (i) the extension of stability results to the network case, and (ii) the formulation of a general theory of nonlinear multirate design based on (a) (Lyapunov-based) constructive methods, and (b) H-infinity synthesis.

该提案与多次非线性控制系统设计和对非线性植物的状态估计有关，并特别注意具有有限沟通能力的系统。更具体地说，我们将考虑以下问题： 非线性观察者设计和相关的过滤问题： 观察者理论是系统理论中的一个经典问题，可以在各个领域找到应用。近年来，我们开发了针对非线性Lipschitz系统的滤波器设计的综合理论。我们将重点关注该领域工作的扩展，并研究以下问题：（i）网络上非线性Lipschitz系统的非线性观察者和过滤器，以及（ii）单方面Lipschitz系统的观察者。第一个问题将我们的理论扩展到系统，在该系统中，通过有限的能力通信渠道接收信息，这是对系统文献引起的极大兴趣的问题。第二个是对新型系统的重要扩展，该系统概括了Lipschitz系统并具有重要的优势。 多胎采样数据控制设计：过去几年已经看到了非线性采样数据控制系统的理论的出现。我们通过提出多次采样数据控制器的使用来为这一理论做出了贡献，并表明多胎系统比单速率对应物具有优势。我们的大部分工作都集中在多室系统的稳定性上。在此提案中，我们将重点放在多条采样DATA控制设计和相关的网络问题上。更具体地说，我们将重点介绍（i）稳定性结果扩展到网络案例，（ii）基于（a）（基于lyapunov的）建设性方法的非线性多次设计的一般理论的制定，以及（b ）h-侵点合成。