摘要
鲁棒H∞控制律用于具有时变不确定性的直线伺服系统控制中.将时变参数不确定系统的鲁棒H∞控制问题,转化成一个等价的、不包含任何参数不确定性的线性时不变系统的标准H∞控制问题;对标准H∞控制问题,可通过求解代数Riccati矩阵方程的对称正定解求得控制器,也就是不确定系统的鲁棒H∞控制器.仿真结果表明,用该方法设计的直线伺服系统,既能保证系统对外部扰动具有良好的抑制作用,又能保证对参数不确定性的鲁棒性.
This paper presents an application of robust H∞ control law in linear servo system with uncertainty.First,the design of robust H∞ controller for time-varying parameters system with uncertainty is converted into a standard H∞ control problem of linear time-invariant parameters system with an equivalent and exclyding any parameters uncertainty.Then,a controller,for standard H∞ control problem,is obtained through solving an algebraic matrix Riccati equation with symmetrically positive solution,namely,robust H∞ controller for system with uncertainty.The results of simulation test indicate that the linear servo system with robust H∞ controller not only can guarantee a good resistance for loaded disturbance, but also can satisfy robustness for uncertain parameters.
出处
《沈阳工业大学学报》
EI
CAS
2003年第5期412-416,共5页
Journal of Shenyang University of Technology
基金
国家自然科学基金项目(50075057)
辽宁省教育厅资助项目(20141040)
