摘要
研究具有外界扰动作用下的非线性系统基于状态反馈精确线性化的最优控制器设计问题。首先基于微分同胚将受扰动非线性系统模型转变为无扰动的伪线性系统模型,然后给出了在关系度等于系统阶数情况下基于二次型性能指标的最优控制器设计方法,通过求解Riccati方程得到系统最优扰动抑制控制律。最后通过仿真实例表明了该方法的有效性。
The optimal control problem for systems affected by external disturbances based on state feedback exact linearization was considered.Firstly,a complex nonlinear system model was changed to a easy pseudo linear system model by the differential homeomorphism.Secondly,the concrete method of coordinate transformation was given when the relation degree was equal to the system rank,then the optimal control law was design by solving the Riccati equation.At last,the simulation results show the effectiveness of the method.
出处
《化工自动化及仪表》
CAS
北大核心
2010年第8期19-22,共4页
Control and Instruments in Chemical Industry
基金
国家自然科学基金资助项目(60804005)
江苏省博士后基金资助项目(0902105c)
青岛科技大学博士科研启动基金资助项目
关键词
外部扰动
非线性系统
精确线性化
最优控制
external disturbances
nonlinear systems
exact linearization
optimal control
