摘要
运用Delta变换的方法研究Delta域内含有控制器-执行器延时和传感器-控制器延时的采样系统最优减振控制律的设计问题.首先将时滞采样系统离散化,再利用系统转换方法和Delta算子将离散时滞系统转换为Delta域无时滞系统;然后通过求解Delta域Riccati代数方程和Delta域Stein矩阵方程得到前馈反馈最优减振控制律;最后运用仿真示例证明所设计的控制律能够有效补偿时滞及扰动对系统造成的影响.
The paper considers optimal vibration control design problem for sampled-data systems with controller-actuator delay and sensor-controller delay in Delta-domain applying the Delta-transform.Firstly,the sampled-data system with time-delays is discretized.By using system transformation and delta operators,the discrete-time time-delay system is converted into a nondelayed one in Delta-domain.Then,the optimal control law of feedforward and feedback optimal vibration is designed by solving a Riccati algebraic equation and a Stein matrix equation of Delta-domain.Finally,the simulation examples illustrate the designed control law can compensate for the effects produced by delays and vibrations.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第5期527-532,539,共7页
Journal of Yunnan University(Natural Sciences Edition)
基金
云南省自然科学基金资助项目(2011FZ169)
云南省软件工程重点实验室开放基金资助项目(2011SE15)
关键词
Delta变换
采样系统
时滞系统
最优控制
减振控制
Delta-transform
sampled-data system
time-delay system
optimal control
vibration control
