摘要
针对具有状态不可测、参数不确定和输入饱和的轧机液压伺服位置系统,提出一种基于anti-windup的抗饱和鲁棒动态输出反馈控制算法.首先,应用Finsler引理,将闭环系统稳定的充分条件转化为LMI条件,并解得控制器参数矩阵;然后,综合考虑系统的干扰抑制能力和稳定域大小,求解优化问题,得到anti-windup增益矩阵.可以证明,所设计的控制器能够保证闭环系统一致有界稳定,并具有鲁棒∞性能.将所提出的算法应用于某650 mm可逆轧机液压伺服位置系统中进行仿真,其结果验证了所提出算法的有效性.
An anti-windup-based robust dynamic output feedback control algorithm is presented for hydraulic servo position system with unmeasurable states,uncertain parameters and input saturation in a rolling mill.Firstly,a sufficient condition of stability can be transformed into a linear matrix inequality(LMI) condition by using Finsler’s lemma,and the controller parameter matrices are obtained by solving LMIs;Secondly,by compromising the disturbance attenuation and stability region,the anti-windup matrix is obtained by solving a convex optimization problem.It can be proved that the proposed method can guarantee the closed-loop system is uniformly bounded stable and possesses robust ∞ performance.Finally,a simulation is carried out on the hydraulic servo position system of 650 mm reversing cold-strip rolling mill,the simulation results show the validity of the proposed algorithm.
出处
《控制与决策》
EI
CSCD
北大核心
2013年第2期211-216,共6页
Control and Decision
基金
国家自然科学基金项目(61074099)
关键词
液压伺服位置系统
动态输出反馈
输入饱和
鲁棒H∞性能
hydraulic servo position system
dynamic output feedback
input saturation
robust ∞ performance