有输出约束的二阶切换系统固定时间输出反馈镇定  

Fixed-time output feedback stabilization for second-orderswitched systems with output constraints

作　　者：林相泽[1] 黄景新 程佳妮 李世华[2] Xiangze LIN;Jingxin HUANG;Jiani CHENG;Shihua LI(College of Artificial Intelligence,Nanjing Agricultural University,Nanjing 210031,China;School of Automation,Southeast University,Nanjing 210096,China)

机构地区：[1]南京农业大学人工智能学院,南京210031 [2]东南大学自动化学院,南京210096

出　　处：《中国科学：信息科学》2024年第11期2642-2656,共15页Scientia Sinica(Informationis)

基　　金：国家自然科学基金面上项目(批准号:62173185,61773216);2024年江苏省科研创新计划(批准号:KYCX240931)资助。

摘　　要：本文研究了具有输出约束的二阶切换非线性系统的固定时间输出反馈镇定问题.构造降阶切换状态观测器以估计未测量状态,并与设计的切换状态反馈控制器相结合,实现了闭环切换系统的固定时间输出反馈镇定.利用正切型障碍Lyapunov函数保证闭环切换系统在固定时间稳定的同时满足输出约束.由于构造的障碍Lyapunov函数当约束趋向于无穷时可退化为无约束的公共Lyapunov函数形式,因此,本文提出的方法适用于具有或没有输出约束两种情况,而无需改变所设计的切换控制器和观测器结构,具有一定的普适性.利用双极限齐次方法证明了文中结论.数值例子和连续搅拌釜式反应器的固定时间控制验证了文中所提方法的有效性.In this paper,the problem of fixed-time output feedback stabilization for second-order switched nonlinear systems with output constraints is investigated.Reduced-order switched state observers are constructed deliberately to estimate the unmeasured state,and by combining the switched observers with the elaborately designed switched state feedback controllers,fixed-time output feedback stabilization of the closed-loop switched systems is realized.The tangent-type barrier Lyapunov function is applied to ensure that the closed-loop switched systems can satisfy the output constraints while being stable in a fixed time.As the output constraint tends to infinity,the constructed barrier Lyapunov function degenerates into a common Lyapunov function for the case without constraints.Therefore,the method proposed in a unified framework in this paper applies to both cases with or without output constraints,with no need to change the designed structure of the switched controllers and observers.The main results in this study are proved by the bi-limit homogeneous method.Numerical simulations and fixed-time control of continuously stirred tank reactors verify the effectiveness of the proposed method.

关 键 词：切换非线性系统 固定时间 输出反馈 输出约束 双极限齐次方法 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]