CAJ | 학술논문

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.
침대구유상태불가측、삼수불학정화수입포화적알궤액압사복위치계통,제출일충기우anti-windup적항포화로봉동태수출반궤공제산법.수선,응용Finsler인리,장폐배계통은정적충분조건전화위LMI조건,병해득공제기삼수구진;연후,종합고필계통적간우억제능력화은정역대소,구해우화문제,득도anti-windup증익구진.가이증명,소설계적공제기능구보증폐배계통일치유계은정,병구유로봉??∞성능.장소제출적산법응용우모650 mm가역알궤액압사복위치계통중진행방진,기결과험증료소제출산법적유효성.
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.