Finite-Time Adaptive Control of Nonlinear Systems and Its Applications

非线性系统的有限时间自适应控制及其应用

• 批准号: RGPIN-2017-05367
• 负责人: Liu, Xiaoping
• 金额: $ 1.6万
• 依托单位: Lakehead University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=638840
• 关键词: Finite; Time; Adaptive; Control; Nonlinear

The proposed research program will investigate the finite-time adaptive control problem for a class of nonlinear systems described by both ordinary differential equations and differential-algebraic equations and its applications to control of mobile robots. In particular, the problems in consideration include finite-time stabilization, finite-time tracking, finite-time disturbance attenuation, finite-time adaptive control, and finite-time fault-tolerant control. Most of the available techniques for feedback control lead to closed-loop systems with solutions converging to the desired location within an infinite settling time. However, from a practical point of view, the shorter the settling time, the better. As a matter of fact, most of real systems require that the design requirements should be satisfied in a finite time. Therefore, even though finite-time control problems are much harder to be solved than traditional control problems, they are more important practically and have attracted more and more attention in recent decades.

拟议的研究计划将研究由普通微分方程和差分 - 代数方程式描述的一类非线性系统的有限时间自适应控制问题，以及其在控制移动机器人控制的应用。特别是，考虑的问题包括有限的时间稳定，有限的时间跟踪，有限的时间扰动衰减，有限的自适应控制和有限的时间容忍度控制。大多数用于反馈控制的可用技术导致闭环系统，解决方案在无限沉降时间内会收敛到所需的位置。但是，从实际的角度来看，安顿的时间越短，越好。实际上，大多数实际系统都要求在有限的时间内满足设计要求。因此，即使有限的时间控制问题比传统的控制问题更难解决，但实际上它们更重要，并且在近几十年来吸引了越来越多的关注。