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.

本文主要研究多采样率非线性控制系统的设计和非线性对象的状态估计问题，特别关注通信容量有限的系统。具体来说，我们会考虑以下问题： 非线性观测器设计和相关的滤波问题： 观测器理论是系统理论中的一个经典问题，在许多领域都有应用。近年来，我们发展了非线性Lipschitz系统滤波器设计的全面理论。我们将专注于我们的工作在这一领域的扩展，并研究以下问题：（i）非线性观测器和过滤器的非线性Lipschitz系统的网络，和（ii）单边Lipschitz系统的观测器。第一个问题将我们的理论扩展到通过有限容量的通信信道接收信息的系统，这是系统文献中非常感兴趣的问题。第二个是一个重要的扩展到一类新的系统，概括Lipschitz系统，并提出了重要的优势。 多速率采样数据控制设计：在过去的几年里，非线性采样数据控制系统的理论已经出现。我们提出了使用多速率采样数据控制器，并表明多速率系统比单速率系统具有优势，这一理论作出了贡献。我们的大部分工作都集中在多速率系统的稳定性。在这个建议中，我们将专注于多速率采样数据控制设计和相关的网络问题。更具体地说，我们将专注于（i）的扩展稳定性结果的网络的情况下，和（ii）制定的一般理论的非线性多速率设计的基础上（a）（李雅普诺夫为基础的）建设性的方法，和（B）H-无穷大的合成。