摘要
针对某一类含结构参数不确定性的线性系统,设计基于观测器的鲁棒脆弱控制器,把控制器的设计问题归结为线性矩阵不等式的求解问题。同时考虑系统模型和控制器中的不确定性,则存在一个输出矩阵与控制增益矩阵的耦合,使该问题成为非凸问题。对磁悬浮系统的扰动矩阵做了某种假设,并引入等式约束,使线性矩阵不等式。带有等式约束的线性矩阵不等式问题是MATLAB无法解决的,利用自由软件SCILAB可以很方便的解决这个问题。对单自由度磁悬浮系统的仿真结果证明所提设计方法的有效性。
The observer - based robust non - fragile control for linear systems with structural parameter uncertainties is investigated. The problem of designing a controller is transformed to solve linear matrix inequalities. Considering both structural uncertainties in system model and controller, there is a coupling of output matrix and control gain matrix makes the problem non- convex, and the problem is solved by making some assumptions on perturbed matrix of a magnetic system and introducing an equality constraint. The LMI optimization problem is not classic LMI solvable form, the free software SCILAB can be used to solve the LMI optimization problem with equality constraint, but MATLAB can not. The simulating results for a magnetic system with single free random demonstrate the effect of the method.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2008年第1期6-9,共4页
Journal of Natural Science of Heilongjiang University
基金
长江学者创新团队发展计划项目
国家杰出青年基金资助项目(69925308)
国防基础研究资助项目(K1404060325)
关键词
非脆弱控制
线性矩阵不等式
磁悬浮轴承
non - fragile control
linear matrix inequality
magnetic bearing
