具有更一般不确定性/未知性和时变性的非线性系统的全局输出反馈控制设计

项目名称： 具有更一般不确定性/未知性和时变性的非线性系统的全局输出反馈控制设计

项目编号： No.61273084

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 刘允刚

作者单位： 山东大学

项目金额： 83万元

中文摘要： 计划就几类典型不确定非线性系统,综合运用构造性控制器设计、非线性观测器和Lyapunov稳定性理论, 自适应和时变控制方法, 在稳定或跟踪指标下, 给出自适应或时变的全局输出反馈控制存在的条件和设计方法. 拟研究对象的特点: 更强的非线性、更一般的不确定性/未知性、强时变性. 这使得拟研究的主要科学问题至今没有答案, 其研究与解决具有相当挑战性, 特别是系统的控制系数不能由时不变函数界定、系统增长非线性地依赖于不可测状态且增长率是时变函数或未知常数、系统具有未知维数和相对阶等情况. 将先研究较为特殊但具有代表性的系统, 以达到深刻认识此类控制问题本质、为探索更一般情形的全局输出反馈控制设计指明方向和提供技术储备的目的. 此外, 本项目科学问题的成功解决须找到新的尺度状态变换和新型的非线性观测器设计, 并在全局输出反馈控制设计过程中选择合适的时变设计参数(或为其选择合适的动态调整律).

中文关键词： 非线性系统；不确定性/未知性；时变性；全局输出反馈；控制设计

英文摘要： This project proposes to obtain the conditions and design method to the adaptive or time-varying global output feedback control under the stability or tracking performance for several classes of representative uncertain nonlinear systems, by combining the theories of constructive control design, nonlinear observer and stability, and the adaptive and time-varying techniques. The distinguishing features of the systems under investigation are: stronger nonlinearities, more general uncertainties/unknowns and stronger time-variation. This makes that there has been no answer to the main scientific issues whose investigating and solving will undoubtedly be a considerable challenge, particularly for the cases that control coefficients cannot be bounded by time-invariant functions, system growth depends nonlinearly unmeasurable states with the growth rate of time-varying functions or unknown constants, and that systems have unknown dimension or relative degree. In this project, we will first study the special but representative systems in order to achieve profoundly understanding the nature of such scientific issues, and to indicate the direction and reserve the techniques for the global output feedback control design to more general systems. Moreover,the successful resolution of scientific issues of this project need to

英文关键词： Nonlinear systems；Uncertainties/unknowns；Time-variations；Global output-feedback；Control design