摘要
研究一类不确定线性系统的混杂状态反馈保成本控制问题.系统矩阵和输入矩阵中含有时变不确定性.假设存在有限个备选的控制增益已知的控制器,并且任何单一的状态反馈控制器都不能镇定系统.基于单Lyapunov函数的方法,给出了混杂状态反馈保成本控制的充分条件及切换律的设计方案.当切换系统的控制增益未知时,利用多Lyapunov函数法,给出混杂状态反馈保成本控制的充分条件,并通过仿真验证了该方法的有效性.
The hybrid state-feedback guaranteed control problem for a class of uncertain linear systems is discussed. Time-varying uncertainties are contained in both state matrix and input matrix. Based on single Lyapunov function method, sufficient conditions for hybrid state-feedback guaranteed cost control are given and the switching laws are constructed. When the controller gain matrices are unknown, a sufficient condition for hybrid state-feedback guaranteed cost control is also derived by means of multiple function technique. The simulation result shows the effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2005年第4期421-425,共5页
Control and Decision
基金
国家自然科学基金项目(60274009)
高等学校博士学科点专项科研基金项目(2002145007)
辽宁省自然科学基金项目(20032020).
关键词
混杂状态反馈
保成本控制
切换律
Computer simulation
Cost accounting
Linear systems
Lyapunov methods
Matrix algebra
Uncertain systems
