基于Delta变换的时滞采样系统的最优减振控制

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.  

Optimal vibration control for sampled-data systems with time-delays applying Delta-transform

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.