随机上三角非线性系统全局自适应控制

项目名称： 随机上三角非线性系统全局自适应控制

项目编号： No.61273134

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： 孙志锋

作者单位： 浙江大学

项目金额： 80万元

中文摘要： 随机非线性系统广泛存在于自然科学、社会科学和工程实际，对其进行自适应控制的研究具有重要意义：不仅可以处理随机干扰，而且可以处理系统结构参数的不确定性。近十余年来，随机非线性系统自适应控制的研究取得长足发展，但已有结果只能处理随机下三角非线性系统。本项目将考虑随机上三角非线性系统。结构上，上三角非线性系统不比下三角非线性系统少，许多实际非线性系统具有上三角结构，而且一般不能反馈线性化。本项目将采用逻辑切换的方法研究随机上三角非线性系统的全局自适应控制问题。在此基础上，研究含有未知时滞随机上三角非线性系统的全局自适应控制问题，研究存在未建模动态随机上三角非线性系统的鲁棒自适应控制问题，研究随机上三角非线性大系统的分散自适应控制问题，并将构建随机干扰作用下的球杆实验系统，对其实现全局自适应控制。本项目的研究有助于推动随机非线性系统自适应控制进一步向前发展。

中文关键词： 随机非线性系统；上三角系统；自适应控制；逻辑切换；不确定性

英文摘要： Stochastic nonlinear systems exist ubiquitously in natural science, social science and engineering. It is of great importance to study adaptive control of stochastic nonlinear systems: it can tackle not only stochastic disturbances but also system parameter uncertainties. During the past decades, much progress has been made on adaptive control of stochastic nonlinear systems. However, the existing results can only deal with stochastic lower-triangular nonlinear systems. In this project, we will consider stochastic upper-triangular nonlinear systems. In structure, the class of upper-triangular nonlinear systems is as large as the class of lower-triangular nonlinear systems, many practical nonlinear systems possess the upper-triangular structure, and upper-triangular nonlinear systems are not feedback-linearizable in general. We will use the approach of logic-based switching to study global adaptive control of stochastic upper-triangular nonlinear systems, and will then study global adaptive control of stochastic upper-triangular nonlinear systems with unknown time delays, with unmodeled dynamics, and will also study decentralized adaptive control of large-scale stochastic upper-triangular nonlinear systems. Finally, we will establish an experimental system of ball and beam with stochastic disturbances, on which w

英文关键词： Stochastic nonlinear systems；upper-triangular systems；adaptive control；logic-based switching；uncertainties