Control of Linear Multivariable Systems Subject to Input Saturation

9410897萨贝里：几乎每个物理系统的控制信号或执行器都有最大和最小限制，或者称为饱和。对于具有饱和输入的线性系统，设计反馈律的任务是非常复杂和具有挑战性的。也许正是由于这种复杂性，在大多数现代控制文献中忽略了执行器饱和的影响。该提案旨在为具有饱和致动器的系统开发分析和设计工具。我们的初步工作表明，半全球框架是设计此类系统的自然和理想的框架。我们最近的努力也表明，用于设计具有饱和致动器的系统的强大技术出现了。这项建议集中在一些中心和基本的控制问题的系统饱和执行器。在众多必须面对的问题中，包括：鲁棒半全局镇定、鲁棒半全局扰动抑制和半全局输出调节与跟踪。***

9410897 Saberi Almost every physical system has maximum and minimum limits or otherwise called saturation on its control signal or actuator. The task of designing feedback laws for linear systems with saturating inputs is very complex and challenging. Perhaps due to this complexity, the effect of saturation of actuators has been ignored in most of the modern control literature. This proposal seeks to develop both the analysis and design tools for systems with saturating actuators. Our initial work shows that a semi-global framework is a natural and desirable framework for the design of such systems. Our recent effort also indicates the emergence of powerful techniques for designing systems with saturating actuators. This proposal focuses on some of the central and fundamental control problems for systems with saturating actuators. Among the many problems which must be confronted are: robust semi- global stabilization, robust semi-global disturbance rejection and semi-global output regulation and tracking. ***