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具有饱和非线性约束的网络控制系统鲁棒H_∞优化控制

Optimal Robust H_∞ Control for Networked Control Systems with Saturated Non-linear Restriction

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【作者】 李金娜; 张庆灵; 韩世迁;

【Author】 LI Jin-na1,ZHANG Qing-ling1,HAN Shi-qian2(1.School of Information Science & Engineering,Northeastern University,Shenyang 110004,China;2.Mathematics and Physics Department,Shenyang Institute of Chemical Technology,Shenyang 110142,China.)

【机构】 东北大学信息科学与工程学院; 沈阳化工学院数理系 辽宁沈阳110004; 辽宁沈阳110004; 辽宁沈阳110142;

【摘要】 针对具有随机时延和数据包丢失的网络控制系统的稳定性问题,考虑到系统存在不确定性及外部输入干扰,将控制输入施加饱和非线性约束,建立具有一般性的系统模型.基于Lyapunov方法,给出具有饱和非线性约束的网络控制系统的鲁棒稳定的充分条件.在此基础上,获得使系统具有γ次优、最优鲁棒H∞控制的充分条件,得到最优H∞镇定输出反馈控制律.仿真表明:H∞镇定判据是可行的,有饱和约束的鲁棒H∞优化控制方法是有效的.

【Abstract】 Aiming at the networked control systems with possibly stochastic network-induced delay and data packet dropout,the stability of networked control systems is studied.Taking account of the uncertainties of the systems and external disturbance input,the saturated non-linear restriction is imposed on control input to develop a generalized model for the systems.By Lyapunov method,the sufficient conditions are given for the robust stability of networked control systems with saturated non-linear restriction.Then,the sufficient conditions are given for γ suboptimum and optimum robust H∞ control,thus obtaining the law of optimal H∞ output feedback control.Simulation results showed that the stability criteria are feasible and the robust H∞ optimal control method with saturated non-linear restriction is valid.

【基金】 国家自然科学基金资助项目(60574011)
  • 【文献出处】 东北大学学报(自然科学版) ,Journal of Northeastern University(Natural Science) , 编辑部邮箱 ,2008年05期
  • 【分类号】TP273
  • 【被引频次】18
  • 【下载频次】343
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