中文摘要：

针对轧机液压伺服系统随工况变化而引起的弹性负载刚度系数发生跳变的问题,建立了轧机液压伺服位置系统在不同工况下的非线性多模型集。通过选择系统共同的稳定滑模面,设计了各子模型对应的自适应滑模变结构控制器,并应用Lyapunov稳定性理论证明了整个系统可从任意初始状态趋向于系统的共同滑模面,进而保证了整个变结构切换控制系统的渐近稳定性。为有效削弱系统参数跳变的不良影响,采用模型最佳匹配性能指标作为各子模型切换控制的依据,实现了各子模型控制器之间的切换。仿真研究结果表明：所设计的多模型切换自适应滑模变结构控制器能够保证轧机液压伺服系统具有良好的动静态性能,对系统参数跳变具有良好的鲁棒性。

英文摘要：

The jumping problem of elastic stiffness coefficient caused by different working condition of the rolling mill hydraulic servo system is discussed. Firstly,a nonlinear multiple models set for hydraulic ser-vo system was established on different conditions. Secondly,the locally adaptive sliding mode variable structure controller for each sub-model was designed by selecting the steady common sliding surface. It is proved that the system states tend to be with the common sliding surface from arbitrary initial conditions by using Lyapunov stability theory,so that the stability of the whole variable structure switching control system can be ensured. In order to diminish the bad effect caused by system parameter jumping,the opti-mal performance index was considered as the rule of switching control which can implement the switching among sub-models controller. Finally,the simulation results demonstrate that the designed multi-model switching adaptive sliding-mode controller can ensure not only good dynamic and static performance for rolling mill hydraulic servo position system,but also good robustness for the system parameter jumping.