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线性时滞不确定系统的H~∞状态反馈控制器设计
H~∞ state feedback control for time-delayed linear systems with uncertainty
【摘要】 研究了具有已知常数时滞和参数不确定性的线性系统的鲁棒H∞控制问题,系统的参数不确定但有界.给出了一个基于LMI的鲁棒H∞状态反馈控制器,通过使用一种新的凸优化算法,使系统具有更小的保守性.仿真结果表明:当时滞的取值范围0≤τ≤0.4350时,存在一个无记忆反馈控制器使系统可镇定.
【Abstract】 The problems of robust H~∞ control for linear systems with a constant time delay in the state and subject to parameter uncertainty is discussed. Systems with norm-bounded parameter uncertainty will be considered.A new algorithm involving convex optimization is proposed to design a robust H~∞ state feedback controller guaranteeing a less conservative delay in these systems.Simulation results show that exist a memoryless state feedbacd controller which make the system stabilization,when time-delay τ change between 0 and 0.4350.
【关键词】 线性矩阵不等式;
鲁棒稳定性;
H∞控制;
凸优化;
【Key words】 linear matrix inequality; robust stability; H~∞ control; convex optimization;
【Key words】 linear matrix inequality; robust stability; H~∞ control; convex optimization;
【基金】 湖北省自然科学基金项目(2000J163)
- 【文献出处】 郑州轻工业学院学报 ,Journal of Zhengzhou Institute of Light Industry , 编辑部邮箱 ,2005年03期
- 【分类号】TP21
- 【下载频次】99